Merken
Moduli spaces from a topological viewpoint
Automatisierte Medienanalyse
Diese automatischen Videoanalysen setzt das TIBAVPortal ein:
Szenenerkennung — Shot Boundary Detection segmentiert das Video anhand von Bildmerkmalen. Ein daraus erzeugtes visuelles Inhaltsverzeichnis gibt einen schnellen Überblick über den Inhalt des Videos und bietet einen zielgenauen Zugriff.
Texterkennung – Intelligent Character Recognition erfasst, indexiert und macht geschriebene Sprache (zum Beispiel Text auf Folien) durchsuchbar.
Spracherkennung – Speech to Text notiert die gesprochene Sprache im Video in Form eines Transkripts, das durchsuchbar ist.
Bilderkennung – Visual Concept Detection indexiert das Bewegtbild mit fachspezifischen und fächerübergreifenden visuellen Konzepten (zum Beispiel Landschaft, Fassadendetail, technische Zeichnung, Computeranimation oder Vorlesung).
Verschlagwortung – Named Entity Recognition beschreibt die einzelnen Videosegmente mit semantisch verknüpften Sachbegriffen. Synonyme oder Unterbegriffe von eingegebenen Suchbegriffen können dadurch automatisch mitgesucht werden, was die Treffermenge erweitert.
Erkannte Entitäten
Sprachtranskript
00:00
If a it is here a mild last morning talk by Professor Matson on a motorway spaces From But A logical point of view how Could more nearer warned try Get some murmur If you prefer Yes so I'm going to discuss Where a new resource from abroad if you want modernize bases And the word I'm going to talk about A man is useful He knew that the status as the bad paperless with these The mayors of combinations so that begin by recalling solid something your own Mel mean that
01:55
You know that if you get a few considers closer The closer lawyer and services and the Yukon twoweek woes if they more than this but many of them This just a 1 for each nonnegative integer a Maybe 1 of genius you have Service with few hold The as have drawn here and that sort only once they are so this all of them under this necessary evidence is just a nonnegative integers Marsalis make it it's quite different if you consider Accomplished artists On these surfaces so complex structured 1 way to find it At 1st with year assistance functions were both as these He was bigger than would show that in the end the Marsalis base has That means 60 minus 6 given by think miners Locally This an exception is tedious sequences 0 so they just them Did Context artists and the usual too severe and there's only 1 If the city uses 1 then the mother basis just a copy of on the trade so from now on you know what I'm saying He used is Baylor make would too There's a lot of airspace in G is to a sense of space from asthmatic and it started from a different viewpoint It originates as your nose in context function and the Some sense that is culminating in the in this series ends in size series So We started In and Raytheon their they consider agreements of visitors To date to And the The union not vote gave us a compact invocation of the martyr most face And that's that's Basis the company Hayden They and is The projected that But it's the Montoya formulated predictor about part of the On the eve of this marvelous faced with combat and better get ready on the sort of given that computer analysis of the marvelous based its its used small genius tool We that it understood but What I'm going to talk about it in the office space nastiness Yeah this is by no means any kind of completing a better understanding of the modulus in geometry physics 1 has started to look Curves in the back On space but you should take disinfecting manifold so that means study The remains this together Of the 4 Walter You go into into this Affected manifold And in groups 1 has started marvelous By a man and a school so that may be limited There we There are many things that come both from followed Who on the viewer from humidity from your point of view and acid sites Explaining to take up some of these themes in year in the Context into party we examined spaces for defamation so we can't bases equal if 1 can be deformed entered into the other By And seniors defamation the means who will fall the means hooligans upon is Called Of these bonds Of the space basis the beginning if we can understand the column on the basis they and we have a chance on understand space Up to if you more thought But before meeting but noted that Giving the definition of the motto Again that need them any possible definitions But what I choose 1 would particularly A good Allpurpose so that its income structures
07:07
On deal on the on the on his space Itself out complex structures the detained blood It turns out that sustained saying you and integrate down and get a copy of the context of the tainted by the new auto complex structure on the year on the underlying So Let me explain what a broader context the attended is finalized So that the Where Is equal told minus And since I was doing everything is always in the area Also will also assume that if I take I'm still makes some our based That makes Sevilla GAO that is an awning the bases for the same thing ride days He followed a group of orientation preserving that group X On the basis of complex structures The tainted because if you had the CAA and have the film office The new consecutive rental of the more authors and you could conjugated JT with that his friends who of the ticket from office inside of all of road film office and you have the group You have the connected component of these I didn't say here that is the part of you put on the office this over With party so were beautiful merchants aboard Rivers's so Inside that we have we have a group of the Committee for holders of advances that The people affected with space That could be performed point radiology because 1st at left back On on year on this Under The space of complex structures and we can take all the space Of that action That base The socalled ties based and the big thing is that at that site was based simply ask think he might Minamata as they wish Which All the space the for a film office It can also be stored in a year as we all based on on the matter acting on the site space manifest is just The photo or the components Of the victim office of 15 so stiff amorphous Up I saw itself as is set apart will want to study these days this monstrous base after a few more And we've also said that we know that the 1st thing to do with this That the call On the of the Masters however amid a 5 from achieving that Gold We say has been about The year of what form us and I'm not sure that All of you are so familiar with that kind To me it's training at this conference in particular the notion of the year A bit of a The year Policy But There The year The structure of the of the 3 as You Several times WellPoint thereby also put of a country on the sale of defined Hamas I won't be going to the definition of the Pollard but I If you were to Bob What they do so model associate seeds of laughter The space a sequence of these groups 8 of Acadia makes Nonnegative integers they have the property that if you have a continuous map from make a white that induces Map of appeal groups in the other direction and that's On toilet that Association They also said the problem is that if if it can't be continuous form of space while the call Monday who are isomorphic So they would depend on the space after more What defamation and actually in the past can't that the results With his due world of Chilworth and we lighted the call articles also had a track
12:30
So you could not supply The move the Coalmont dimensions gave the market Give a call market dimensions Kate trust Show little about these Rated reach the messages some saying These were saved the highdimensional hold the space it so I can illustrate that But That If If We just take 1st we had The 1st call on groups there in the 1st column article next year that's copies of the incident use so is could be read out From year from the call months of the year of the 1st full month of the source Now what the problems with this would Martha Based in GATT is that it's a singular space And we don't know Almost alone almost nothing about the singularity of the soul work their various ways to get around that Who to take some not sink you have Club Of the space and the matter is that which was fine off of the of the did more of the the service provides starts Announcing the color in the sense that testifying base maps in indeed in such a way that year That Map and the other waiting for months juices I assume office on the phone while at least if you're At about to nominate as if you take the core with that of the rest of numbers In In the astronauts also say so you These classified He that has far followed Robertson if you take it back from the space X in troop Gamma team Then that The juices of covering space Banerjee And If you if you if you have to laugh which a whole lot Then they they use isomorphic common spaces so were there the cavity common spaces ovalis base a rise from office is same as Nafta 8 inch disk That defined based laughter a whole lot of all come back to the means and the nation of began to you in a while monk what data now is That But of the Love of began at sea Can be written down so In the short or explain what part that is to say that in In the mid eighties still have showed that the case column on began at sea is independent and G as long as you This much Bigger than that Nova then take while Big events will pay plus 2 So therefore want to define what for the stately on Monday on the Of began by simply saying it's case the case stable home mother who wish to be the case called model will be amateur with which Compare to pay for the purpose of this talk I needed now Conditions on Space which is deformable so well In some seems to be gamma GE But It's a much bigger space and and the but address But I wish Lots of logic viewpoint psychologist based in Teton Soto 1st define a new type in its simply needed to consider all Services in some caved in space Also services With years G for your apart services in United We don't know that Right now we're take services in a much bigger Euclidean space Now if you have surfaced In a new kitchen space but they all think so were too if he would He then you could take a representative and take it film office from if he lets us 1st show you it and they knew as 4th embedded in Euclidean space so you can go so you could read the statement by the bed And they well The fate of If you if you if you're changes that betting that film office on FTA then you get the same of so this base All So this is not In that bake Euclidean space is simply equal to the base of it to the open space of the embedding smarter the different Wilson book written down here new If Here that's sold by Eddie based in the space smooth ending with the weight of and beautiful convergence of all of the river Now so that's another way of considering all the space is another way of considering via the the of of of their services in Euclidean space outpost of him Mr. White played in space then you could give me a good thing about living in the space of 1 dimension higher A senior vise Adding another What so you have a whole sequence of spaces and the union of all of these years The Not much of base He saw that I that I want to consider here if I ever served as a new kitchen space
19:34
1 then that has an inner product from should space just normal the usual in a priority in the end In the space mistakes so would unify money and fight Your mind station that was assumed be reconsidered lawyer in services and if you have Both product And the condensation and you know how to rotate the time trial with tools so you know how much type II In other ways in way of saying that used to be had Complex structure that tainted fight Show Show that In a Euclidean space on the services A nuclear produces a complex structure On tender 5 That is a complex structure on attendant on this Implies that the the map from space It is tough In cheat And that editors also These singular All of Amata MySpace Now this space The space Of embedding in if you're dead in a photo finish that's a concept of space by of which lead and those that the since we're talk about do better than that 2 more from the air I mean freely on this base of babies and the term And in top lawyers Years of West a Was sealed spaces left but you could also who could also take Betting base and you cross with the will the of the surface if he'd and you could divide out there that they threw more both on the surface the next on betting should take that all the space and that But do by predicted the photos that would give you man had been sold In each off and that is what we call a universal if he keyboard That means that the space and the Seoul asserted that that whatever written down on the year on the last nite so it's even The statement said about About excessive based on eve of the manifest who may be If I can't say that smoothed by A lot 8 After isomorphous medicine Equal to the map from makes it so suffer motto Paul coexist But a much bigger version of what I just said about the party it he And the media That's right down summer we hear what I said Chu Show Because of the because Equation here What we have such as saying that we say that used to say that That that's a statement snaps into what is based which we wish we caught if showed that that's the 1st part of the sovereign debt In he is After deformation this They say Massive based on this A few more however I also states that the United that the components of the film Contractable that A few more itself It's the same lot The information as Space Pope As soon as basic components of the group book component which was Madam traps and that also means that the actor That day Jazz I spaces like we were off defamation that system of road needs and A defined this next data from the year key Top aims G and be a few bad debt on Monday and Tuesday nominated as signed by the way the rest of the nuclear matter more so in chart is another way wave should consider destabilization of the Booked The big input This 1 on with a month data which said The state There Of the map fast who it is That was They and that's a mean and that really simply upon in in there in a in some EU mental classes have I 1 in East if we too high I should also say maybe that when Mom what made this country in the mid80's they it was already known of mean at the same time a mail and reader had already proved that these are normally down in the in the classes have 5 Then That was contained in this in so that we say what the classes have if you have If you had a bundle of a smooth Most of the bond with live but the fibers He used to be that you can't take the tensions along the side of the of the Obstruct But drew There's also when new When you a there's also met in which changes to be down by 2 of the monthly Total based upon market it from injured played out The fight evictions and that the cat classes come from this Map in the following way you have Oregon If this fund will Let me know Oriented demands by the attended bottom of the side with that's same having context fondled and takes a 1st class You could raise the I push the power and the new push at for so that's what the classes have
26:43
So they actually classes in the inn's will call market and by the year by the year among data justice That means Only a statement about Mexico's former My foot The next thing I would like to explain is He is The The odds These services and modernized faced with fear of and told 50 years old so the Hmong about Borders to but before I would say this about What we parted Tonche base So let's stocked with is with the in dimensional Oriented makes upon what compact manifold and Of dimensions The Tonto Basin Basin defined simply the 1 . cases of the talks So I history that In a beach Figures you have the year the year of the bond was based here and now you want compact Viet so you get something like it's now there's some immunity be funded important facts that I want so well that I never want to point out the first one is so obvious from the picture namely that complement of the based And in the Thomas based in this 1 . com rectification that forms to the point of this is just follow the alliance Ali Khamenei Final Basis The horse on the nite of the new just fall out We in a continuous in favor that since Tom places like a local station of The year On the body Not only did And on the base based on loans still say the same thing I want to point out is You Tom isomorphous which Me I've home on the base Saying CIA trust in full Monty of the Toms and then finally the most important thing for from my purpose is to upon socalled country song for that matter So now we we could say that D dimensional manifold In A new interest fees based on manifold before we all we look services but this is what's needed more Dual context so a lot of symbolically manifold by neighborhood Opened Norwich you amount that a man Drawn here Mr. said to isomorphic of For course just expand nearly out these material that's what makes but you just to expand that out and into the food normal so that all want This is really the same No 1 of On Of The year of the embedding of Indian I interest now when you have scissors so you have Old stuff safe easy on Do I do You European based and now they want . com predication should met the other ways you should say a bruising outside The 2 be into the point and affinity So this and that was the 1 part company faces cleared in space that's a year that's severe dimension and trustee of the sea Fears of man once have bidding And you have a tube abounded then this Map the forger song For that That from the severe into the Tonto Basin that matter In some ways of a convenient way Of their displays all of the hunt in enormous structure of this In baby show of force It there's also may have an eviction if you have an Athens was Tom based in make that transversal Association in in a manifold off and that correspond which 50 years ago was used by some jargon and Show Manifolds optical What I want it back to that Show Now I want to be a starter Manifolds embedded in He knows in In Euclidean space and pick Euclidean spaces and I want to make that in the remain now want to enter into can't make that up with a year With this the space of West men So I a space West man in West he of iron must be seen in the face of these stuff Bases The European space I trust these Chief Well that face Senior bases Of the mentioned beat United interest this autumn They knew you can't say the fears of an element you in a nite in 1st and hand A Dedham softly and the best man And then you so that you with A mail If Start to be That's an individual bond over the West man in not a sixday plane that now we have a situation where we have what we have The manifold In Bay this is another It is not closed BAT and leave the peak the nor to wear that section of the unique from Mason still We can get Without delay Without changing in saying nothing has that situation and the And we take a point now In Indian Point excelled namely that of course we have the tendon fiber at that
34:07
Point that it'd be mental softly base so that the tank space The TX and is an element in the West man And if it sees you out He cited 2 well that states Over unique element in the area and not signify not Woods Lies over the point 8 in Then the Edelman view of the This List Fight in the jewel that's In all of this on a new and in That Just justifying so all in all we get and that you should for that matter a mean and the into incidents on the basis of this universal in the mental will then begin a map From the published Since NHTSA's song based on duty in her soul or fear of theater We get an element of Hold the interest before the base On On a visit on space by I means its base of continues from It's must be into the hands of the Tomahawk based what's the point of infinity Meaning this At the point of dignity In The child so we signed ahead Southland like didn't make it a man like death or a mail should say that if I have a soft manifold trust Chu orders and not important if you could be costly Yeah Mean they unique optative summation Now I could take the conviction on more these Tom spaces As in various that's what hold banks will supplant did and And this is your face Of the year on the on these Tom spaces which I got into here in a month and take it Limited they sit inside None union are director commitment of those and that's what we call the infinite space corresponding to that's pixel that Space but That's the kind of agents of bid Good to analyze And break Far and Maybe it should also say that these bases with Rice like that nite If you were if you think of the space between a space and who then these bases The Infiniti in that's like being groups in in there in the sale of all or spaces for now the still that Michael vise tool of 40 years ago is that that had gone now from a from top It this limit of all of us Of the of all of these Look down Tom spaces in the name of that induces Office In call monthly into In the Minnesota River Basin Police show And since these are indeed Opponents In in there and these in space he has this That And the media who book components in this faces A copy of the into wild Written these species that had assists An isomorphous millions will call Now We did we only knew that energy chart worse The market Of vessel shows a year Still the So there paying would show the to this state for monthly on my own Yeah that's it Nominated for Satan different ways we already seeing that Told that that the vessel home market the model to be interested in is to say this is stable Monte on the map and fast which which voters at home on Kamins but what we exited through it in in December and things will result so therefore tossed a year the statement called on the map and ask who is simply the hallmark of the space will make Infiniti in Chile Chavez If the Would understand what the full months of the a of the right hand side is worse than we would give information about The vessel home after the Marsalis and said so much area and Internet in that breaks apart from that made the call mothers and babysitter who would best lead and have did not hear what the what This may be the best home on the right side It seems It's a In the Monty on duty Of the West man in a of true claims And a war in going on and that is That Paul classes Japan So The showed this Many Provides The true Mom puts Concerto Now let me hear that could let me let me removed Until 4 borders and series will 1st Ashes So estates and fear that it go where mostly interested in which show If we're talking about a tomato it but until a above 50 years ago on Wednesday the following charm and jacket and maybe more Consider the following a nations on Show closed oriented Do you mind as onedimensional land for or the exhibit and if is a compact manifold of 1 inch I wish Has told Barbara components while is
41:27
1 of the manifolds and the other 1 is manifold but Things always ended here Might 0 Mean Joe Obuasi orientation not want assigned there that there is Is that there is of film office in 1 into 1 boundary from Poland Don't be entered athletic Moss from the author a bomb ripped component so Until now of course is completely impossible to work so enumerated in all a bit more classes manifolds but with this About a paucity of recent it turns out that and computer Chad They classes as well for the The boss hoops The site borders Make it so do you might 1 so that his computer caffeinated by song and Billy also work contract particularly this Camassia talked about I should say it may be that that borders who had the advantage of small dimensions I mean after meaning mentioned no 1 to read into for a sensitive that's It's a complex predicts base of the real amends Full Now this just this definition doesn't really involved the more but I want to go back to reconsider surfaces where these Which was too Better and that Be orbit based the and bedding What if you more of his testifying based on data more so now I want to take a few more Of the objects of the of these manifolds into consideration defined a category I'd replace Iast manifolds By embedded wants so written down what do you want the objects here and maybe at the same time put on his picture Receive in the picture so also Those embedded in 1 place and I have Also made this case Also embedded in another In the men's plays amorphous Between these This is simply a again and embedded in this case and the bed surface which goes from the from from from what lies That's fine by me and not by 8 not so immersed life's defined by the 8 1 which so that's Sort funny categories this invaded borders but The picks out their composition Just Taking union not this Each time you have to have the category which will category with the objects and both total set off more Jones said Did you could refer this defined space others so I'm just writing that Now it is matter of fact on May 1st surged it's that Is a him That cost once filled once simply Testifying place showed the point in this classified based pct But it's it corresponds to these 2 of the year These objects in the cabin if I have 2 the category That is composer all the negative to same place in space it said so build on based simply by By looking at The composition of the NO Like that a new some examples Of that construction if the optics assistant just A single point and the more on that point is proved he then this construction simply gives a good version of the classifying space being G for that's a space classified principal 5 on solid case But he was It was a bit more of a 50 minute or so of the existing based testifies These are the 1st surfaced on with fight of All of them 2 units G isn't doing this for this category of justify the pictures here at the end I think the composer of that space and that's just the A considered by buying from John solid city name is yeast Acer purports plot Now it's said This fear I 1st want to stay here is see Woods advances Gang of Four that I that I started with visits We can begin to choke the full based also written down here we can determine written down what do basis point of the base of the B of the categories and that space as defined before Which was which was Look base Of these universal want rules over the West many in Tibet's That's a 1st fish I want Concha These pervasive and that this aboard category that were that Show that That comes from from fees series went 1 worldwide was not considered before But But sometimes Shirley evasion come from other sources so would you could say that it can't It is simply a font of from this category David who borders only in some categories of Hilbert spaces and they still might Be of some help in trying to understand various Various these series but that the list Yeah Have to be worked out This Earlier potentially gives you information about film not Because of losses In this category maybe a should foot The level of the picture on again The more office
49:10
In the in this category was that If this big that is The course of the lessons of the of the of the of the space it gives you that if you a once in place in peak MIG all and saved it to occur in peak at so this Map from the more Paid into the base of the Gamache because if you have a home office all passenger space in the year in bid to winners of that More office unless they the the same element in there in the board room and you could just can't make some basic point and that way you get a map From the space of Aum office All of these embedded surfaces in a complete in space into the base Of the of the category So what could ask Is there some peak A WGU sold that this They some authors that was the year that But that was the same Different Mason look as tho there was a union but it was It contains These classifying spaces of a office so this a man here and can we find and not be being sold that Those Dodge manifold so so that this map is closed Being an equivalent annex to pass the bill is to provide access match in the year They It there There is a case where its services We consider when there where the borders Each of them Here I in the picture nothing similar only in the union had reason that of course is 1 of the wonders of 1 of the of the real problems In this in the subject I would like to go back a little bit now Chilworth Have stability Sale of putting it So now we consider services at me the boundary We had been bound say it A menorah industry so again we can take the more The more who of of that surface which has yet been busy on the boundary and we can take it the who will compose and that's course the mapping cast who can achieve and again you have a gun like theories saw for for a for both for closer offices which says The 2 components are Retractable shows that The classifying spaces homophobic prudently they can perform into weeks of not what happens civil wars than if you have a surface of Jews would be bothered composed even at the new Panetta
52:47
As of this year will win 1 more genius just who would on or you could also shows off that The shortest show you have It did more office of suffers indicated Because it's the identity of the bomber UBS You get a bit a few more of the a meeting of dish do want saying simply by adding the identity So this is a match like these All we could the maps composed and then were in there and then It is the these match In Jews isomorphous on fourmonth means will call monthly interest rate So now you could define a a B of the MNC We should be the directly in way he bond Doing it keep doing on the surface Like to keep these things to run here and there you would think that The union of the limits that would limit aboard the space for that began and seemed to be and the car model that space that is what I Defined before war Stated call muscle Or to make use of that 1 has work defined as a subcategory on this Category of data services The category has same number of so demands onedimensional manifolds toward the case surfaces and that the suffocated but it has fueled more named the more you consider only has the property that connected component has some
54:54
I Will the boundaries so you could these things he had postal and not enough it turns out that Show Red Yeah That this stuff category has to say Pleasant space object information so of this A survey and B To get us said the that could based on the use of this Mistreated Of the cast of MySpace State the category It Teakwood true is the same as Look down on base Which The best homeopathy of that put moment But the coverage for us this was not the way that there My advice and and I written to approved the sale of this but there it provides a new proof of the The That this of commodity Isomorphous between between this This base That might be whose lot State home wanted a they call comedy of the on the must 1st base and in and in this new face with Bush here on I would like to alert them Sir See Gywn preacher was us there some less
57:09
But some basins But at least they have talked about That I would That I would like to work to included 1 of them is Where is still far I only conceded Manifolds Baden indicators based in particular services Embedded in Euclidean space stuff surfaces of you UK space but you could also would also consider South Bases Embedded in Euclidean space trip here with A man From there Based in school a background Maria Emilia Asians you Wednesday that it would consider borders Mr. makes a structure In Spain structure considered on oil and the also more citizens and in all cases Still a and B with the trial But forget editor Yeah The classified space of the of the borders and works out Find the proper stability The problem is defined a niche of the The chill find the ATO Is defined these manifold which we can do bye bye have stability which which approximates Space amount there That relaxing with to variations of the problem Said you can say that Surface stigma embedded in Baker played in space he and there you can't say that I'm just a continuous from that takes so that's sort of a topological version of the of the of the home of written martyrize base
59:33
But you have services and saw almost like map into their into back from manifold with was Initially to be Disinfected manifold but at least we could leave that Ends and said he considers year just continuous map a space now the idiot in that situation this of Grove call myself Recently saw which says that if a simply could make their is Is it really do remakes expects can be deformed point the end In that case the hallmark of this This in Utah It is like being harassed Situation independent of the genus G if further Yeah it's a tedious Baker CompuServe that you consider and
1:00:42
There a and B that work well solar solar therefore your mistake saying that you can That humidity has built something they you can consider the state on these bases then left Can be computers and there Got Can't We take place Bases head Before we take the this matter charged with lakes and then would do that Don't Then again is space there What can the left 1 can handle it well a party and the particularly what concatenated Celeste Holm answered now that the composer's differently advanced means the stake article the 8th but the hallmark of the sink Poland since the best again this similar So where a 2 month Luskin dates and namely its suppose noman's 3 commuters in the column of CP infinity cross Take take their bigger chewing shifted back to recent sense of that to show work Show that That sort lists of our article almost the base of the weakening of the space can be Analyzed and we won't say much more about it but if the sauce The 2nd saying mean same wants it in with his The of the Electoral above the old office Of the 3 who went down in this like ordered award in now I consider Warsaw won't match Or continues math from 1st Which stands The point of Phoenix The of that another space you printed a vote favor union or spaces The show little away and get space with recorded open fields isn't seen as it at space have here And this year of the of the cadets is isn't that from the from the All of the units from the from the Union of the dead What's more the move future bikes based there and in this matter like these And that's in tutors Isomorphous for Now see a truly Many years ago that hallmarks of the crew of the space build enthusiasm affinity at the home that support for the state to the homeless It will be That they a finite In dimensions figures until the components of the bases V but in particular have all but 3 of silent That is It is That the former The use of videos of B of the Olsen Moss and who of the 3 proved that deaths since the Rest so that's completely So the year Among standard conjecture and this is so a stand and take about years above year or more bosses will the hallmark of the awesome off his feet The that's as There has been a problem for many many years in the Due Misik hoops series So new media The real 5 Pointing out that the waves that proved this is very similar to the way it said That there have talked about the true for the the year of the month what's going on foot convicts Now consider that graphs embedded in mind Where You where Show where So you have to his for borders have employed by a couple of headed Graft so here's a typical amorphous Mr. Which cost Bonsall were ahead of the beat soon proved by A folk end And the body which is then The that if you take the corresponding positive boundary headed for so wait still where you go without this seen in the middle here there Yeah The Commodity experiment Was B or water fitness you might ask me so this is This is the 1st example of where you and could use mean this is a course You kind You could also asked for in higher dimensions manifold was singularities so Where have 1 minute was There is a and they can be mean letters proves that this is the end of May be work in in this city you might well ask We used the tainted bonds and no 1 was injured in the the case of the of the of vessel manifolds waters At by here world that's that's That's replaced by Wash The theory of makes pushing and There's also a half Mason and love the basic point is that instead of considering area sentenced faces enormous bases are given point you take a given point you take it More As more neighborhood of that Following the news look what What Carpet warehouse is in that man made his name in that Scoffs scanning strike take put a Microsoft will want to see what kind of the way efforts in there And that the way it mean that was Irving the Then you get into the machine where Where was theory of 6 was she would be NYTimes optional We have
00:00
Punkt
Stützpunkt <Mathematik>
Kombinator
Mathematische Logik
01:43
Resultante
Orientierung <Mathematik>
Folge <Mathematik>
Wellenpaket
Punkt
Natürliche Zahl
Gruppenoperation
Physikalismus
Gruppenkeim
Bilinearform
Ungerichteter Graph
Komplex <Algebra>
Richtung
Weg <Topologie>
Algebraische Struktur
Flächentheorie
Stützpunkt <Mathematik>
Zusammenhängender Graph
Modelltheorie
Analytische Fortsetzung
Topologische Mannigfaltigkeit
Analysis
Einfach zusammenhängender Raum
Assoziativgesetz
Beobachtungsstudie
Lineares Funktional
GrothendieckTopologie
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Verbandstheorie
Differenzkern
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Mereologie
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Ablöseblase
Geometrie
12:24
Subtraktion
Folge <Mathematik>
Stabilitätstheorie <Logik>
Gewicht <Mathematik>
Wellenlehre
HausdorffDimension
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Gruppenkeim
Zahlenbereich
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Term
Mathematische Logik
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Flächentheorie
Minimum
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Modelltheorie
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Mathematik
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Physikalisches System
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Skalarproduktraum
Ereignishorizont
Arithmetisches Mittel
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Konditionszahl
Mereologie
Kantenfärbung
Gammafunktion
Faserbündel
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26:42
Ebene
Nachbarschaft <Mathematik>
Orientierung <Mathematik>
Subtraktion
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Gewichtete Summe
Punkt
HausdorffDimension
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Ungerichteter Graph
Element <Mathematik>
BAYES
Strömungsgleichrichter
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Euklidischer Raum
Eindeutigkeit
sincFunktion
Reihe
Unendlichkeit
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Prädikat <Logik>
Sehne <Geometrie>
Flächeninhalt
Forcing
Rechter Winkel
Mereologie
Basisvektor
Ablöseblase
Garbentheorie
Aggregatzustand
41:24
Stereometrie
Orientierung <Mathematik>
Einfügungsdämpfung
Punkt
HausdorffDimension
Klasse <Mathematik>
Technische Optik
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Reihe
Orbit <Mathematik>
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Arithmetisches Mittel
Objekt <Kategorie>
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49:08
Subtraktion
Stabilitätstheorie <Logik>
Punkt
Sterbeziffer
Matching <Graphentheorie>
Kategorie <Mathematik>
Zahlenbereich
Isomorphismus
Element <Mathematik>
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Physikalische Theorie
Arithmetisches Mittel
Randwert
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Flächentheorie
Nichtunterscheidbarkeit
Inverser Limes
Zusammenhängender Graph
Modelltheorie
Topologische Mannigfaltigkeit
DoppelTTräger
54:47
TVDVerfahren
Stabilitätstheorie <Logik>
Euklidischer Raum
Momentenproblem
Kategorie <Mathematik>
Isomorphismus
Sondierung
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Algebraische Struktur
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Indexberechnung
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Aggregatzustand
59:32
Nachbarschaft <Mathematik>
Abstimmung <Frequenz>
Punkt
Wasserdampftafel
Wellenlehre
HausdorffDimension
Ungerichteter Graph
Physikalische Theorie
Gerichteter Graph
Einheit <Mathematik>
Schwebung
Ausgleichsrechnung
Stützpunkt <Mathematik>
Affiner Raum
Zusammenhängender Graph
Figurierte Zahl
Topologische Mannigfaltigkeit
Berechenbare Funktion
Matching <Graphentheorie>
Mathematik
Stochastische Abhängigkeit
Gebäude <Mathematik>
Reihe
Isomorphismus
Kommutator <Quantentheorie>
Stetige Abbildung
Unendlichkeit
Randwert
Singularität <Mathematik>
Flächeninhalt
Offene Menge
Körper <Physik>
Standardabweichung
Aggregatzustand
Metadaten
Formale Metadaten
Titel  Moduli spaces from a topological viewpoint 
Serientitel  International Congress of Mathematicians, Madrid 2006 
Anzahl der Teile  33 
Autor 
Madsen, Ib

Lizenz 
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DOI  10.5446/15964 
Herausgeber  Instituto de Ciencias Matemáticas (ICMAT) 
Erscheinungsjahr  2006 
Sprache  Englisch 
Inhaltliche Metadaten
Fachgebiet  Mathematik 
Abstract  This talk aims to explain what topology, at present, has to say about a few of the many moduli spaces that are currently under study in mathematics. The most prominent one is the moduli space Mg of all Riemann surfaces of genus g. Other examples include the GromovWitten moduli space of pseudoholomorphic curves in a symplectic background, the moduli space of graphs and Waldhausens algebraic Ktheory of spaces. 
Schlagwörter 
moduli spaces mapping class groups cobordism algebraic Ktheory of spaces 