Add to Watchlist
Wild coverings of Berkovich curves
6 views
Citation of segment
Embed Code
Formal Metadata
Title  Wild coverings of Berkovich curves 
Title of Series  A conference in honor of Arthur Ogus on the occasion of his 70th birthday 
Part Number  7 
Number of Parts  12 
Author 
Temkin, Michael

Contributors 
Abbes, A. (Organizer)

License 
CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  10.5446/20241 
Publisher  Institut des Hautes Études Scientifiques (IHÉS) 
Release Date  2015 
Language  English 
Content Metadata
Subject Area  Mathematics 
Abstract  I will describe the structure of finite morphisms between smooth Berkovich curves. The tame case is well known so the accent will be on the wild case. In particular, I will describe the loci of points of multiplicity n and their relation to Herbrand function and the ramification theory. If time permits I will also talk about the different function associated to a morphism. 
Series
Annotations
Transcript
00:02
around the government loans I'm a I'm thinking the the pleasure and fun after this time incineration and here at my talk is about well currents of the fish 1st and do not assumed would familiarity is Europe's versus I'll try some call some basic standards of beauty lies in the hills about and the spaces and OK now the OK doesn't mean I see thank you and the and so the golfers also we'll always look alike and purism and oxidation solely the accelerated closed and related field can handle study work which costs only once and that such an field and find morphism has also said like in electing their preferred candidate home principle you can also think about the Clemens languages with his Wenger formal models on the region jars In the end we all study more same object from a little bit different angles that is so a candid Pritikin brigade that I'll be able to draw some pictures in the middle of a they'll try to Kamuzu with Indians and others a simple and at least another day in and day care and it some may make the which are part of what they call the was glorification locals always notions will be introduced later that's so 1 would like to be found sort of committed combinatorial the description for usual since stable reduction introducing a as best possible commander of description of Georgia I all morphisms annual series a sort of seaworthiness until actually it doesn't describe the morphism good human case so you want some find information and simmer election use online tools to Newfoundland variants of a fashion 1st is that what they call different fashion just it then appointed CompUSA difference of computers revealed the wet .period and very committed the views of its image and there is a finding therein and each instead of 1 they can only different of such extension takes into account the highereducation fury so had issued the call profile financially currently I can't explain what stores mental focus introduced and then that formalism some results OK so this is just the gold and as well
03:08
as sources also on
03:11
the scale of the in the not at the Anderson case that in principle can any and if Riddle characteristic is 0 when it's not interested because everything is staying and yet but if it is the bosomy makes chemical characteristic equally Anderson and human distinguishing he was satisfied with the quality of life here she is necessary not only those in which anyone who wants to yank Ordinance of 0 1 here just to have some sunlight function from literally wanted 0 1 which is common also national powers and some confusion as superficial view before winter look get but I don't forward looking and now sources
03:58
different fashion standard in the John Walcott fly flight this distinction and the decline and fall was atrocious I have had a separate paper was about proper function of and also the shock of the real debate posts along the the rise and values nations also will be the genocide and also the both of them mice myself OK now blame as well as about half a lecturer and talk about moral is basically tells what is known to experts on burqas your misery but then again I would like to and to recall saying socialist volume discuss and adopt which Goss when discuss morphisms of tourists have on what is moralist but will not I can't think classical because the Commission produced a list of the 90's I spirit of the classical but it's sort of a classic of Indians and the man and his dark about different functions and provide function on him in the last 2 quarters minister of OK so studies conventions probably they'll try to pull some conventions he board because the only problem is you know I can put very few information seaworthiness and war so I'll try to keep something here OK so nation's policies they can have a real maybe I building such an the area litigation if it's not obviously otherwise I also will use notation like a circle reasons drink of integer I it's customary for agents and the progenitor and residue field be denoted by Tuesday OK so these are not patient and effective and it feels that now also the figs came illdirected closed around the complete the round the the nation can material when all results material so it depends on you if you prefer or to allow but in principle OK so they can undertake a cure for its and weekold nice if it is the most probable connected In principle 1 died of SMU solid Sayuri most and boundary Apple simply stated lawmakers in the papers 1 considers slightly broader notion of myself or just most probably than when it's just the litigation of some older break cure which is also nice and smooth broke ,comma OK and then and we'll do not amorphous only 1 to study so it is fighting off my skills look at that now the proposal is is actually said deserves input what what is even in particular in particle is a property of such a thing is that this is a division of all of his or her it is all under these assumptions it is always what in it stated in part to grow it is then the notification it is OK now I'm about to points over argues that so I don't want to give general definition but maybe I assume a little bit with the the often literally delivers originality itself AP Lopez spaces are defined similarly Monday selfanointed algebra defiance spectrum which is in the region image and when use them doing is a little bit subtle like Andrzej undesirable excuse details but is above and below are mentioned that points correspond to civilizations the real relations son of an adulterous and then .period 1 can associate a complete a good environment .period unlike regiment are ones I just amended and feels he has a relatively complete feels soul it really wouldn't matter in the widest completed residue field so .period X X and doing it affects completed this week the was going to do do all of that was that that means variously known as correct but I degrees in United to hear from beginning so we can assume everything is straight and I'm not going to use the use of the new details of an outdoors marketing OK for you and give the idea so in principle since that our knowledge about everything is erasable began only think about the litigation so some stuff and it's the maybe slightly simpler I was so before any King of the regular from on defies instigation and the man from litigation at Expo override security it's defined the only .period as the is just a all real on the rise of In there offering saturation began the complete gives users the spectrum is mentioned and we get complete the desert view of a point Phil In particular for any calls .period as his gaze lyrical about assumptions ridiculed as just a muscle will begin appealed only 1 limitation compatible with the mission of congressional Gattuso the fiber is just a single buoyant and this is their classical the point of being in a region Germany so we'll call that the region .period I know In particular the exgovernment seasonal right in the middle KKR for mindset theoretically a car for litigation over Durex consists of all of the classical redeployments and everything else I just don't want patients on give correct some of personal funds OK no points of the analytical OK so in principle .period delighted to 4 classes is his moralists an unnecessary Favre and what about the gala with attractive some other is this so Taiwan adjust usual region points which are sort of classical once everything else correspondent of extension age effects of gays Monterville extension so many again onto extension when it feels he can ask what expense if there is any field extends all inoperable full title always the Gainesville resident field extends so it affects today's stayed alive and Katie and adults out of the crisis 1 that is not complicated in this case I probably is just the same as global awareness of gay and using that Gazans radicals In his claim and but there is a view obliterated the facts into fonts field before takeoff so he started losing money and and is funded under the Balikatan so you do not use she effects they expect to when the effects is a resident of trough Paul it is affixed to them all who knows but His gays the group already success In such cases on console where the extension of ridicules the civil and that factors factor of groups of various agencies and of course cases when you can undergo expansion but not in extends Neza we will use nor is the film is a divorce cases by far now a small remark fortunately for asked by 4 points will not be essential at also I'll mainly in north from the stock at MIT there'll here date when 1 tries to prove stable reduction fury more resolution fighter mentions as they elections sentimental reasons there really this is really your enemy but was festival reductions forecast man to travel OK now a fine line solicited example of how would these points wildlife flora and fine wines will take the final against thinks according to the then it does not at any point of Taiwan to a free hit the news that a very simple descriptions out there and Norm
13:16
correspondent interviews exodus a civilization candy in vending machines according to buy it and is just this sort of 1 of our evaluation is defined as much a 1 1 so it's a sort of generalization of classical golf which women are equal to 1 and April goes OK and In particular effects of dive on the 7th if and only if they are 0 so this is just what classical .period equal to something and otherwise X is maximal blind the satisfies the inequality as the military might of the U.S. because of this land .period recited Fresenius should also satisfied with the legal medical so X is maximal blind golfers such that given by instability minus a political colossal so just a DC so that's any such acts in Mosul .period often used to buy supplies want free just classical points in Mosul .period of women Is this celebration defined sewn up on animals in the is Liza when logical simulation of any other .period complaints in region OK now OK now we can permit tries .period by AT and are so the question is what the is there about the redundancy of such brutalization decided on this is very simple this is not my 2nd side 4 points 2 points coincide so not in this coincide even on the eve of producing the same article as in a and B are close enough you know any pointers and the center of this fall races and because of this again drive Beecher effect a very easily for example for any . 8 a clever airline and of points being made up for any another point being a line of points the and they need precisely because the idea was to enter area of minor sentiment so the whole structure of dive was a 5 1 free is just the sort of 3 probably in the field the study the of negative picture of 3 useful because it's very easy draw some 100 and reviews if he just such at such as at now as small remark not important for stifled once correspond to embedded in the consequences of disks result intersection classical under section also so it may happen that the arguments under section on news out anything and then induced by 4 points I put it in the Americas is not important but there no skeletons not so let's say with their somewhere gone eggs but by some revenue the fall and it's a conical some who's got exists only of types 1 and the I'm maybe on this beach I should also explain what so all these points Archive 1 yet and I'd go free so there in the section .period there they data and interesting points heard disks of racial origins of the identities of wines very can specialize to different points the different directions and have something like this this is a bad thing so you want goddesses of the after the only by 1 at that and such a graph called the skeleton if the compliment all either set of goddesses Is it designed Union of open disks and open unlike all it's simply by Sydney and will on disk opened his visit bunch so disk minus upon because my can be at 5 1 points I also love such a creature so I typical example take something he can make a cut and make a cut here what you have between we'll be an open on the Jewish Museum in the viewer I we know KIII I'm trying to keep a lid you know you you want at least 1 Type 2 . 2 yards of correct title because it you want 1 title .period OK and any doesn't using Google ministerial approximation of things because of the ghost of all X is out the whole gamut yet so for any analysts and became a central core like here which connects the the directions Of the finals so that you can remove the central core of from and there analysts we get this joint so is endit the effect is that AAA or maybe I just didn't spell out its written by the nose by but we want the goddesses to be here know as I explained and we want it just a bit central costs all this city so in the removed the cold draft the whole skeletal from makes just get designed union of opened so ,comma becomes extremely simple the result and this scanner dominated that indicated skeletal knows almost everything about the this any committed the information analyzes of graft he idolized our guide which satisfies these conditions also a can tunnel since extremely useful property holding only for coffins I'm just lowdimensional phenomena here and there 1 can conclude for example dutiful FedEx as the sum of the Jews Of all points plus a little bit enamel thanks all 1 can only some goddesses of the graft and ate their feels bitter number of grass it news that the graph contains all point of X year's 0 Juno and the graph compares old all the costs so Grafton also about the bomb because it follows submitted the from use of direction exiled GAM is different you of open this now by general of and point of a government default if the point is all 5 different from when loses Eurojust that began with the signing of an interest but if it is a of Title many associated pool X a trough the accelerated review and we can take could genius of music this is a which of course enshrined there but you can take you know usually isn't the Red Army whose yes so that is the yeses usually political parties they don't it but and I didn't want it will be at the end of the OK now suggestible reductions during a source with a nice trough was as escape How did problems not from racially I used to but is secure and that is a socalled skeletal formation of isomers reduction theorem that means doing really needed said the relation formal covers so that the formal models so just briefly indicated so classical formulation and is a given below this can line and claims that ex bosses assessing formal model over formal spectrum of the Nautilus UCI animals additional spent cocaine on we can become the rate model and the relation between the operations that is as follows the always have a reduction of its opposition from Expo where a close fiber of our former model and Andrea Mitchell of generic points of coal fiber lines of any Jr . is just a single point of briefly I'm in is an open analysts and bring call most .period is an open these CSO so actually the and it seems that the reduction Dugan construct and a skeletal immoral while you can measure embedded into the draft of articles cyber office since model the orphanage space and that is at of is really precisely parametrized by individual components all 4 the close fight "quotation mark case and
22:37
now local structural and I scoffs actually it can be obtained from 1 stable reduction but 1 can also go another direction 1 controlled by direct analytic techniques or local description and when it's not so difficult that we wouldn't approve civil reduction by unanimity missiles 1st fall and I in my staff is a huge drop the eyes something like this may be a sign of the menu about the game you should think about it as a sort of graft idea by the way I did not discuss and the question What is that apology again it's not so important provision I think it's an aphorism the offensive apologies but what Western OK any died 1 will die for .period lies in an open because only a skeletal they can only get what I North Texas and along cake and several nearby the free at any 1 free lies in an open analyst and discussion of the 2 points is a little bit more friends so tells how the penny point of type 2 and his many directions in these upper energized by .period there is a shootoff with his wife so in the picture I place here that every litigation looks like the Over isn't if you because all geniuses he has Europe but in general points can be of battle can be more complicated and we do not have to be welcoming embeddable into 1 so why am I the vitamin acquires the this contains some general send them OK we have now 1 more basic facts about I have a job and so any cure persisted that possesses a canonical meaning that so when lotteries all Pennsylvania so functions that is Leslie this so under these conditions there is minimal a single meanwhile methods its existence can be proved by you missiles you can use stable reduction and can during the mission so it's not as difficult as the action now I prefer the world music financial magical Aragones mystery still Radu softening the will is actually is exponential all there as a matter of the lens of the roses that the advantages that men have entered values of fascist we'll be happy sliced will not know as we should think about them so where some dominant on the on on any window on some the rules Roderman Mandelson so in a sense the White Plains is all there is no going back and forth as loggers USA at a reduced financial nature of this realization of so that's going so that is what to the the local people yelled of I know I never said anything about the media but given well led the team on the ice is infinitely Alonso so he asymmetric added this doesn't implies is the same center of Friday I S & T is out there so with you at your where the band in the land is legend so it does not depend on any trip given skeleton the gunmen inside y and we you know that by Our down the interest exponents of the cells from down is still being put in the last part of the dog so maybe I it here so the don't want the gunmen inside like skeleton then down Is that distance from them so actually administer agreement them again during got from Ivan everything breaks the whole idea is to begin normalizing the unit is commanded the stones in the sequential distance from .period Light this category it is just that the and useful for inside is normalized so I understand normalization think was used by Francesco she is welcome resolutions of differential invention which OK now so far this is a picture of Johnson always discussed more still fall and I would like to introduce a man with a blue notably Stefansson of a morphism yet from white lyricism and is a morphism sold With here and from time to initial numbers so for all on .period multiplicity is just the usual ramification for as appliance and maximal idealistic but the field is all there is the few completes its builders of deliberately Caltech and stencil this vigorous expansion is notably a priest of method 1 is a very simple fact that we have is a local it might even only which receives 1 so actually it is in same question for example to describe said it is not the local is not a local his office I'll call such said and the ball is OK let me just say 1 missile also said the political ramifications walls so consider and would appreciate you what side of the bay old ones would have received at least the and this will be denoted and there are None None None and in defense of some states should feel but the prairie don't have sold Oh why Sedgwick and therefore the Advisory Group of it has sold a lot of insisted his also will say that this was a good thing it went to beasties inaudible in reason home OK and I have no effect for ending the inside my In because he did majorities are ideals beside a from intervention and when I just got a feel for all the usual fine and that if he is a graph as sold ironed this graph maker of national pride parade explanation that fits in that is that is that is magic verification of an easing these lies in a moment and the degrees of these metals slopes strictly speaking on same degree but that useful in the sequel news I just want a priest so even oldfashioned and an online actually know everything about mythic extraction of the men who know completely what the slopes so concluded described olmert aghast itself OK now some again it seems
30:47
MisTable reduction so scared them off it is a bad apple skeletons online in the next stops all sizes :colon Weiss provisions can next and the artists all 4 of us get along like contained the set contains verification so I invented on the reason why I can't seem to love your sisters of the 1 is that they want unification .period to the inside of the on the now theorem and invited morphism between my security processes assisted this is cool Sokol simultaneous instable reduction is not stronger than usual since they were reduction white because you know it once you can find 1 skeleton find as many as you want just enlightened you still gets him so we can easily play and his x and y and find that parish is completed so that Europe is not essential site can be deduced relativism and in Brazzaville base that it does not give such a good description of morphisms as to the reduction provides for whole case so this is this argument that helped to prove urine from Finland action and I 1 can also form the banned in the language of formal models will not needed and so is justified remarked moralistic equivalent the existence of finance a former 1 OK is boasts a larger rewind directs stable now I had to which extent and I this skeleton the allies is amorphous OK Nasser is a American here only government of skillet on all more visitors use different unions will finance the bulk of our soldiers to buy disks but such coverage can be complicated business Alisters still I really can be found in a competitive not when analysts could be just the thing to be said about the because of his role was to be the yeah yeah yeah yes in that it is serious in India and in the position of will be allowed the job at the gate ideas but most wasn't of the people who was in our respondents is mine you can always believed that the Buda additional and then the and a description of them orphans or any of the political pain but is a more facilities the bullet with them at any point it does cover overdue wages to judges and the soul and that also for online and it the politically paying about color often Alavanos is corners given by simple formula and it follows that the his ability attain van that the morphism spritz outside of the scandal any action only on a skeleton and all its constant along in its economy his we judges the power Emerson commitment because in the end is just a skeleton the animals so His gives very good description of glittering description of him about covers as so work together to get the mantle of grabs his annuity police and that it satisfies national conditions I'll around for fuel still because very little because you have some "quotation mark local calls of which please so let me not comment on the school but just sort of and there was a little bit more settled condition is there and we also have a local removal of was condition police metal graphs so that even mantle of a graph the problem is Of the ministers here middle ground on a white Lomax know something like this and I have for a Nordic skier and his image we can relate to reduce Solingen so if you are using their litigation ongoing and the edges by my usual a local university and not surprisingly it and this that I think follows from Romona was formal for production so it's not stronger when you're going forward and then OK and in fact the history conditions where the only numerical conditions the middle Russia should satisfy right lifting the results that the you and more visible broadly satisfies we certainly haven't you can lift it glare of the distillate and offering more visible but navigation OK now problems he was case OK has asserted about cover overdue wages can be convicted of 2nd the accession of can appear in several it was purely in several again saying nothing interesting about the map of production costs the removal of is just completely breaks down and job even if it is separable from the local problems as of the end of the year is now old Wieseman and the minus 1 then they In all different in general who are so in case the weather litigation and even the extension separable deferral travellers OK and do more examples the most said can be huge for example and that she would like to a couple of pictures of resemble as consumer mad she goes to people being Oh well it's sin I it's a deal that Butler will live and they hear just general and inventor the next will suffer like this and it don't solve that magic neighborhood all the court 0 infinity there at the end of the last week and is but it's also so is outside he is edited video OK let let let United just committed that act now because of radios a call to 1 if it is not the intent then case but is a number which is equal to as little good 1 hold the line land if it will the most that can be explained very
37:45
easily you should consider the idea of convergence all please rule I want ask this is like but if different from the and is a miss is that little people feel able to minus1 if it is if any I suggest you try to solve question In age of facts and you cannot solve a mystery but the canceled renewal of us so what we see with that in general the announcement and said in Mohnton case it can be used samples overdraft OK and that this situation becomes even more complicated Eve In a consider for example the bicycling and the statistical I 0 tool in regards to the air double cover multimonth here in a flounder completely blind people again in such did for interest fines the London 2 0 0 1 and it does so that is absolutely video of flounder His last if at the Olajuwon by Atalanta 1 0 with 16 I don't know the number which is here becomes as the value of could yet now so as if this thing covered so I'm afraid that if initial reviews 1 force does not touch measles then the suggestion is that it's a reasonable man Olivier and have to do is join Boris here mechanics structural and Jim Icelander and she said cannot extractable 15 to minus1 everything else is spit and OK material and above these interreligious the 2 most platoon originally have pretty you have to bring so I don't want to get a job and here we have something like that so what get is that better reduction .period had better reduction and charts and I want anyone computer and plans sold the Loop involves of flounder his campuses and fill them with your family Olajuwon canola and but if I had to forget don't have time to explain what happens if we are on the mother but it's easy to see what it was that if these 2 guys that's you just need a blind when instead of his you'll just get on .period an ordinary production .period now but this and think of them as innovative under blistering 116 is equivalent to a fragmentation the of the because and 1 because there is scaling factor between June and that and this is equivalent to J. was 0 2 with the is the cure for production purposes a person would supersede reduction and in this case just by hence 1 can compute the fall into question them the infinity this 1 various deals with similar cost around 0 and the Internet the same locals around 0 plan but it attached .period various a full refund direction I think something like the square root of London direction of clerical flounder maybe not completely suddenly away you'll get a super Simba reductions were serious .period as you most want in suppressing the reduction and these these bills what is the strongest point Bloomberg too as exists is smaller when there is little for so his point of view located much closer but when you would expect you know you have made in cultivation so suddenly may cancel on us OK so I have had this picture is definitely a little this statement issued for the 1st time now I'll try to explain where it comes from new some as Soboleva but you just moderation I knew this last 2 remarks that gradually I'm especially severe last long says that different might be In the cinema and look at and especially because different measures that were insuperable in wildness of extensions if there is field extension is inseparable because while extensions so it's natural Boulboul check how weather took a stand still and so we'll can different another definition we shall using the stock is a different of several director pension is a very often later all 4 only got half of it is ourself in way integers of care and ii before the says that this is important definition let me make the remarks socialist albeit with a bit of language in a small amount and that's so usually and we'll be and lottery all of what is going on here and I like exponential distance instead of use which would furnish and important remark is that definition is right but only because in our situation only got an authority not use of almost a and 1 it's a sub cautioned often the general you should use a smarter definition which involves taking ideals or something like that and so it can be normal but is the world wide reversible definition Hotel because want just provide answers that I sort of 1 emissions aggression the idea only studying trough Salisbury people field now given uncontrollably his model is some quotient of and not so redefinition but
44:44
it also ongoing was the 1 difference is defined as similarly body was in algorithmic differentials he did this through the value at the end of the school are related by uniform either and in general are uniform eyes are sent there just equal but so cost putting on hold with formal offers awful losses written using different so I just want to hear about the reasons Romans Balkan classical OK and now the different function so no natural the you do not do I do not abide by the Warnick a set of points of tollfree and if you wish for the game for you more than 4 hours and the genetically died from identitya assigned different fonts and that this journey .period might just inside the far of his trial issue from right and that no a small remarks either and the body is not these good relations CIA analysts consider the related cases but thing that otherwise malicious summoned discreetly American there is no difference between the different deliberately in fact what I defined because that if you interpret that as a logarithmic function but we will have to distinguish vehicles just Click site the media but now this guy measures while this effect in particular is just constantly equal to 1 in the politically an imperial explains all phenomenon saw bustle I I want us all to give you these analyzes have afterward with for and stuff like OK and so helpful here it goes out with different and makes them characteristics of the different there's always a logical and of the of so reasoning and his men always achieved on air and on the very but locals on a job which connects the glorification of initial and the different ideas and new measure different from what it was like text so and also some familiar be and then decreases it is unique increases in all directions Kopple sold the minus 1 poet degree demons from his nominal functions Of course degree so on the distance additionally offpeak tool 1 the minus 1 believer and against 1 and this is precisely the boundary over was terrific officials were indifferent to issues a whether medications "quotation mark completely explains what goes on here and it also admitted that he also 1 can describe the picture a little bit more find way again it's sensitivity of the Shia and he has sold just sold it goes it sold 1 commemorations fee and so it goes here and here 1 but from here you have full freedom and this is still there to pursue the appointment to have a more primitive everywhere else you have just sold 1 so you can from his picture incompletely described there while the mitigation what's at the deal would be an mythic neighborhoods now because different associations but it be source of Konecny OK now general thinks so if you're fall it's please let alone will probably is that you put in long hours and the brutal soulful therefore need to improve the little did I know proving the Vilnius is very simple and their roles and begin dividing the world but this is the same but the will in analyze and life just the right down this year as a new computer it's expenses would lies normal function with is only in the world because like a piecewise monorail vast also built by 1 point and 1 can disguise limit because by 1 point it also said that it becomes constant if you have been modification for example like here in this very important circuit this might have either forgetting that 1 points and went in a different Venezuela and you can't do that describes and name of property you have a balance and conditions had been for and this is the most important because you know that understand this additional like to understand that have crippled given the upwards where have sold euros Europe and everything else is 1 we have . 1 1 3 and everything else and so what I what is the combinatorics His picture dancers here is just the sort of removal was formal all in all a government was formed so this is precisely the June part of informants and local contributions also sort of something very similar and in particular almost all guys here as you know ,comma sold almost all slobs equal to a super ability degree Of the extension of ridicules minus 1 so almost all local forest many well OK now what about the proof Hillary and
50:30
really give a very brief indication of the approved so approval by isn't going to happen maybe I have to make 1 remark it seems that his former is a close relative from my mom my discussions it is estimated that there are many problems close relative of formal volition cycles of cattle and probably his former lover was distracted by a hearing on info ,comma ourselves closer with the I think soontobe independent baby walkin model with the Arkansas also formally probably over and obligations but it must have relatives but again I don't have an informal claimed here and what our brothers very simple it takes about 2 3 pages idea is that today that it is a phenomenal difference so justify definition of difference and so we consider ladies in only got extra consider a sort of electors of the differentials and just minimal not more than which contains differentials of original and then consider I only right Indigo all Opel Book of extended illnesses abortion falls Gates Oracle mothers who's the stocks soared almost psychic precisely measures the difference in Manhattan I care and choose element of knot of absolute value equal to different and compare reductions all only indigo and political Honegger extended but moved shifted that by this number and the store reduction producer newsroom Larimore vignettes between them Over reduction or on gusty as I saw it should be look of forming issued last year a woman 1 and there the balance and conditions just was not complete degrees of the city light poles and zeros the degree of his chief precisely analysts inside the walls and condition the local tourist we'll give you OK so I just I should say as it and Eve extension is inseparable in general the National made from here to here 0 4 will result in Senate but if cited picture appears is reduction movement analytical off office then we can produce an interest in neuromorphic and it is responsible for "quotation mark slopes you're OK now minimal scandals but the you say that a branch at the point of type 2 is legally suspect to different it was Lopez expected loss if you remember that almost all small cycle to some number and when they do not contribute the local currency to condition some such did the same with these directions to you from point of and fury says that any idea skeleton effects and we want to lie cheat and pulled aside a skeletal social studies and reading something on axiom was situation like the 1 where you can choose different skeletal so we just think something the effects and then we ask what can be minimal skeleton of X and Y simultaneously which compares the skeleton of the real scandal and the answer is that you Nigerian it ever be skeleton and that is pretty much gone awry a priori doublewide doesn't have skeleton but it also would we do get the skeleton of an even the only leave our occasional locals is contained In the goddess of them alive and for any point y all branches pointing outside of grammar and that the 3 so this thing actually produces you existence urine Albert couple given a cover fell to find and stable model of what you have about the example he had used up his August 4 candidates but .period certification .period so we should ,comma include them we should take comics house but obviously when there isn't stash .period on the skeleton where the defendant because of warmer so we must include the when include only started minimal such a nontrivial different then yet down again get skeleton books of change OK and also different control susceptible if it agrees the when the different as I explained here for example and then let example different completely controls regional but in a degree from Temple Square became aware that may happen when there is a locals where huge locals with degrees the investigators discussions on these cannot be controlled by so what the question about almost Britain locals do open different cannot control it engendered In his list all the
56:00
last the bill part of my talk so let's say medical staff at all and and is gonna deal with respect skeleton gamma Eva exist function on garments it cited as causes of all .period whose explanation of these things India's financial distance from he is bounded by the irony is that OK will maybe it's better to the explaining just by a single picture sold let's assume this is some it inside government and there is some functions the on other frumpy the set as it is required to convince all clients whose views those Goldammer is controlled by function gun so it's horrible Loeffler something like riddles said OK so all in all I examples of the locals was that such here Riddle said from his perspective difference OK sulfuric this is a skeletal affair such it's like part original either all said almost altogether now morally found once I get on when and you let us get them also you lose and that moreover in 3 cases you can choose any skeleton showing what the cases when the degrees when everything and every is that a dollar where you can take care normal guy with his composition of British and for example OK if when actually the different completely controlled situation because you know what outside of skeletal and everything is different trivial different degrees of course altogether just different gives the ideals of the set and it OK I hope brew then made some areas and simple and that Michael is beaten method it's used a lot in Feura William feels Soviet Union problem was admitted field you often want to solve for this fall's for demonstrations with Europe's sessions you Ugandan then and you can't do it by hand How when extends to completion and the get the dollar extension because any garlic can display the wild named Damon the European and finally you some defense tool to get in on and their digitization proved just by his method but a source of globalized illegal the globalized when users with a category of the bed covers of job of a cure for the blind and should the same as getting a river that colorful spectacle of each affects so you can sleep that local Lucas speed morphism like extensions of refused OK and I have finally OK maybe I'll just since I'm starting to be out of town in minute they think I'll just the last I think there a very very quickly and without giving details spelling out details of the last lesson is last in Pemba the decision fearing it would like to know what the idea of what the idea that the solid for the European cities different so Is it the natural invariant Gulf extension of our competitors interview and asset is as follows that if you just want you Friday 1 2 and so on is admitted there and because it's not compatible with compositions I give you a composition of the the functions you is difficult to express our idea of a composition from or so but you
1:00:21
can our energy demand clever way OK you it will take a minister Faisal does believe me you can rearrange it just as a sort of fashioned from 0 1 and 2 0 0 1 he but the cycle profile function
1:00:36
and it's just agreement originally riding in many furious says that if y cases generically batsmanfriendly for any .period lifetime the profile arson fans the set of measures all Friday with splitting coupled with revocable locals of the beauty to the anonymity to their minds when someone is Professor around functionally so the last 2 comments even deformities among his defense Farragut fear at the moment is considered actually was not the reason for that is going to just take our final proof of several Coffel come from local officials and the rights Safina about almost indigenous extensions is normal and and when you can formally durum and approved is again straightforward wider use of splintered into the just use this as the demand enforceable excessive GPU just compare the 2 furious because both are controlled by different and lastly as well as various Randy other undefined only but the warrants but obviously reforms some these last normal family sold residents of this and forget figure for you Of all the provisions of the those arrested affected because the so long as there is this His lawyers what is a whole lot of dilute it cannot be continues in Europe which topology indoor crucibles for "quotation mark very simple reason the locals I describe dramatic neighborhood it's not Calton not open under which the bullet it's called Connecticut apology but now that the world is much stronger it's not the the locally compact the pushed apology area covers local so it's not it's not going to get a dog which conference I will stress this point several hand for on the way to the young I always listen to the yeah yeah yeah yeah yeah yesterday continued you have but the have man to and these containers for inevitable follows from his minimization of his most of the survivors of the producer this was the clarification and gave him flowers Ron function in this case again because he almost museums your sort of Franklin and completion of grandfather many without going abroad function is completion but for profile much gains made his very clear and genentech interpretation profile function you just consider in an arbitrary and internal here From from down Fairmont planned you take it serious this is 0 1 is a 0 i'll gained 0 1 and you have some distinction of having used summit to conventional decide on a moment visited profile it if you are in daily use independent bowlful Of the choice of reasonable and it's a social communication services compatible with competition for around fashioned from but it's unless like and classical the fury of 500 when you were
00:00
Ocean current
Topology
Observational study
Multiplication sign
Curve
Analytic set
Mereology
Morphismus
Frequency
Goodness of fit
Manysorted logic
Profil (magazine)
Reduction of order
Subtraction
Field (mathematics)
Descriptive statistics
Combinatorics
Stability theory
Series (mathematics)
Focus (optics)
Standard deviation
Ramification
Spacetime
Formal power series
Field extension
Arithmetic mean
Computer animation
Angle
Morphismus
Object (grammar)
Sinc function
Local ring
Resultant
03:07
Topology
Ramification
Scaling (geometry)
Characteristic polynomial
Theory
Cohen's kappa
Curve
Analytic set
Functional (mathematics)
Power (physics)
Invariant (mathematics)
Computer animation
Morphismus
Function (mathematics)
Field (mathematics)
Glattheit <Mathematik>
Bijection
Identical particles
Surjective function
Directed graph
03:55
Group action
Closed set
Graph (mathematics)
Correspondence (mathematics)
Cohen's kappa
Solid geometry
Area
Connected space
Sign (mathematics)
Descriptive statistics
Social class
Spacetime
Theory of relativity
Proper map
Valuation (algebra)
Residue (complex analysis)
Annulus (mathematics)
Category of being
Radical (chemistry)
Theorem
Relation <Mathematik>
Directed graph
Point (geometry)
Civil engineering
Connectivity (graph theory)
Perturbation theory
Infinity
Approximation
Open set
Number
Morphismus
Frequency
Incidence algebra
Subgraph
Arithmetic mean
Boundary value problem
Glattheit <Mathematik>
Standard deviation
Ramification
Graph (mathematics)
Classical physics
Theory
Algebraic structure
Line (geometry)
Set (mathematics)
Mathematical model
Mortality rate
Density of states
Local Group
Field extension
Formal power series
Summation
Function (mathematics)
Field (mathematics)
Film editing
Spacetime
Musical ensemble
Ring (mathematics)
Universelle Algebra
Direction (geometry)
1 (number)
Sheaf (mathematics)
Mathematical model
Curve
Complete metric space
Parameter (computer programming)
Analytic set
Mereology
Manysorted logic
Positional notation
Circle
Vertex (graph theory)
Arc (geometry)
Fiber (mathematics)
Stability theory
Area
Covering space
Algebraic number
Real number
Point (geometry)
Thermal expansion
Functional (mathematics)
Open set
Maxima and minima
Proof theory
Wellformed formula
Right angle
Identical particles
Resultant
Sinc function
Reduction of order
Combinatorics
Classical physics
Fiber
Topology
Divisor
Observational study
Line (geometry)
Image resolution
Real number
Inequality (mathematics)
Centralizer and normalizer
Field extension
Formal power series
Thermodynamisches System
Operator (mathematics)
Reduction of order
Integer
Theorem
Subtraction
Field (mathematics)
Condition number
Variety (linguistics)
Division (mathematics)
Approximation
Residual (numerical analysis)
Database normalization
Algebra
Morphismus
Boundary value problem
Spectrum (functional analysis)
22:36
Group action
Graph (mathematics)
Covering space
Price index
Multiplizität <Mathematik>
Summation
Maxima and minima
Connected space
Sign (mathematics)
Bounded variation
Local ring
Uniform boundedness principle
Multiplication
Descriptive statistics
Proof theory
Product (category theory)
Infinity
Staff (military)
Annulus (mathematics)
Category of being
Arithmetic mean
Graph coloring
Theorem
Point (geometry)
Sine
Sequel
Civil engineering
Drop (liquid)
Graph (mathematics)
Approximation
Rule of inference
Open set
Number
Frequency
Morphismus
Goodness of fit
Lie group
Normal (geometry)
Units of measurement
Ramification
Graph (mathematics)
Exponentiation
Neighbourhood (graph theory)
Exponential function
Line (geometry)
Set (mathematics)
Parity (mathematics)
Existence
Field extension
Function (mathematics)
Universe (mathematics)
Graph (mathematics)
Game theory
Euclidean vector
Musical ensemble
State of matter
Differential (mechanical device)
Multiplication sign
Direction (geometry)
1 (number)
Mathematical model
Curve
Parameter (computer programming)
Analytic set
Mereology
Grothendieck topology
Coefficient of determination
Manysorted logic
Vertex (graph theory)
Position operator
Covering space
Logical constant
Process (computing)
Point (geometry)
Moment (mathematics)
Inverse element
Thermal expansion
Term (mathematics)
Functional (mathematics)
Distance
Proof theory
Normal (geometry)
Resultant
Reduction of order
Thomas Bayes
Combinatorics
Ramification
Neighbourhood (graph theory)
Existence
Set (mathematics)
Image resolution
Algebraic structure
Distance
Equivalence relation
Metric tensor
Power (physics)
Degree (graph theory)
Formal power series
Field extension
Natural number
Wellformed formula
Radius
Isomorphism
Ideal (ethics)
Reduction of order
Theorem
Field (mathematics)
Condition number
Addition
Multiplication
INTEGRAL
Analytic set
Computer animation
Morphismus
Dependent and independent variables
Local ring
Separation axiom
37:44
Equals sign
Direction (geometry)
Multiplication sign
Covering space
Insertion loss
Curve
Mereology
Grothendieck topology
Maxwell's demon
Summation
Mechanism design
Invariant (mathematics)
Manysorted logic
Forest
Moving average
Local ring
Multiplication
Covering space
Logarithm
Sequel
Product (category theory)
Process (computing)
Theory of relativity
Algebraic number
Point (geometry)
Sampling (statistics)
Infinity
Nominal number
Term (mathematics)
Measurement
Functional (mathematics)
Inflection point
Flow separation
Fisher information
Proof theory
Category of being
Wellformed formula
Theorem
Combinatorics
Condition number
Right angle
Curve fitting
Reduction of order
Directed graph
Field (mathematics)
Point (geometry)
Classical physics
Neighbourhood (graph theory)
Matrix (mathematics)
Addition
Divisor
Set (mathematics)
Image resolution
Characteristic polynomial
Similarity (geometry)
Limit (category theory)
Distance
Rule of inference
Number
Measurement
Frequency
Goodness of fit
Field extension
Root
Lecture/Conference
Natural number
Radius
Isomorphism
Quotient
Reduction of order
Ideal (ethics)
Boundary value problem
Integer
Renewal theory
Field (mathematics)
Subtraction
Associative property
Condition number
Ramification
Forcing (mathematics)
Chemical equation
Classical physics
Neighbourhood (graph theory)
Algebraic structure
Mathematical model
Set (mathematics)
Similarity (geometry)
Field extension
Formal power series
Morphismus
Function (mathematics)
Game theory
Ranking
Family
Local ring
50:28
Group action
Closed set
Differential (mechanical device)
Equals sign
Direction (geometry)
Decision theory
Insertion loss
Complete metric space
Mereology
Perspective (visual)
Area
Mathematics
Invariant (mathematics)
Manysorted logic
Pole (complex analysis)
Proof theory
Family
Covering space
Area
Logical constant
Theory of relativity
Process (computing)
Gamma function
Point (geometry)
Airy function
Ext functor
Staff (military)
Price index
Term (mathematics)
Functional (mathematics)
Meromorphe Funktion
Category of being
Heegaard splitting
Theorem
Normal (geometry)
Condition number
Cycle (graph theory)
Abelian category
Field (mathematics)
Point (geometry)
Maxima and minima
Existence
Observational study
Chemical equation
Set (mathematics)
Modulform
Distance
Torsion (mechanics)
Equivalence relation
Open set
Number
Annihilator (ring theory)
Frequency
Morphismus
Degree (graph theory)
Field extension
Causality
Natural number
Radius
Reduction of order
Knot
Ideal (ethics)
Normal (geometry)
Subtraction
Absolute value
Field (mathematics)
Gradient descent
Condition number
Numerical digit
Chemical equation
Classical physics
Element (mathematics)
Analytic set
Independence (probability theory)
Mathematical model
Set (mathematics)
Axiom
Mathematics
Subset
Field extension
Formal power series
Computer animation
Function (mathematics)
Sheaf (mathematics)
Fiber bundle
Invariant (mathematics)
Family
Local ring
Lattice (group)
1:00:20
Point (geometry)
Maxima and minima
Expression
Set (mathematics)
Complete metric space
Food energy
Heegaard splitting
Coefficient of determination
Field extension
Manysorted logic
Meeting/Interview
Profil (magazine)
Radius
Bijection
Area
Ramification
Classical physics
Moment (mathematics)
Neighbourhood (graph theory)
Theory
Set (mathematics)
Term (mathematics)
Functional (mathematics)
Measurement
Hand fan
Flow separation
Proof theory
Field extension
Computer animation
Function (mathematics)
Network topology
Element (mathematics)
Theorem
Relation <Mathematik>
Right angle
Cycle (graph theory)
Figurate number
Family
Local ring