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Motivic homotopy type of a log scheme


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Title Motivic homotopy type of a log scheme
Title of Series A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Part Number 11
Number of Parts 12
Author Vologodsky, Vadim
Contributors Abbes, A. (Organizer)
Illusie, L. (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 10.5446/20245
Publisher Institut des Hautes Études Scientifiques (IHÉS)
Release Date 2015
Language English

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Subject Area Mathematics
Abstract Given a log scheme X over the field of complex numbers Kato and Nakayama associated with X a topological space X . I will show that the homotopy type of X is motivic in the sense of Morel and Voevodsky. The talk is based on a work in progress with Nick Howell.
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book points and then he'll go along with the budget to be and then you get something back while I'm out of the current intelligence and conquer and so on so I want to kind of extend this construction tool "quotation mark skins and that even if you have this seems stable case if you have mania components and multiple perception becomes Elia will direct this year G resistance really unpleasant because well you can you can kind of fried down then the senior Congress but well you have to do is lifted in some level and then on the square of the differential will not be 0 Hildago home that they couldn't 0 and commodities are given by some of the 4 that normal Kwan constructions and so it's it's going to be completely useless no possible you can't really do anything so instead of 1 should look at their Dothan man should look at the to promote all all this of this mode and this has a very simple John metric description of I'll show it to you today and in the case of our this seems the evil the generation but 1st they want to formerly the main feel I'm the kind of the next platform for the soul the rent this fall in so willingly did beat and the US introduce a bit of a civil Kittery the new code the caterer locomotives but where we then too you can use it while they can forget about the stuff I mean South introduced a category that the local ticket afloat so and in order to do this so that's why let me just right down the definition of usual category of what the motives and then annually still more you can defer relations and and you begin to get off the problem with so will still idled work this out of the sole apartment is so ideal assume for simplicity that's characteristic of my away is is his hero Williford sp you can you can do the same thing but you have to be the coefficients and then found looms so the OK so fully with the motives for you do the fall and the much of it so your you consider it it was the crazy video of last year's sale find died over over a field and then manual formed agent of critically I just wanted to say that seems schemes finding type and morphisms value combination of of minutes no Crispin's can be and and then I want to take the accomplices finally there is this and then I take about 5 more developed by 2nd Edition by Sept so this is a wily fuel fuel you can do it and think related fell by spoken with that the conservative and they couldn't get portable you can you can regarded this a differential with at so and what I wanted itself so old will try the so will ideally use them that's a litany of specifically here are optional ,comma physical took is "quotation mark this winter because of folks right so it's ex parte so soldiers Sara Colm this is so full of schemes right so and so this is fewest Texas quality went on with the game the move and then some but the 2nd class of objects is that will touch have to that means that in the here so this still still this is the 2nd class of objects are notified for the disengage the apology so this edgy rates kind of sequences of governors and so there will be a box well that a suppose I'd have all but they still open up and they have an indictment of the this is followed and so what are their conditions condition is that In the man being there self from the export of minus sealed the deal Dole the X minus field this meant the distinction is a measure of stops so that means that this is diamond and on the compliment to you it supposes section and section why so on this is all there is still and this is a bad isn't particularly you and will ,comma fixed with as much much much more than and in the end this is listen I want Croatian and assimilation has informed its you and I will use and here I have decided for you there you so both and so this is part of the and Bobby and so I want the fallen anyone to reconsider the maps of the from ex-prime Linux this separate and I assumed that the disease that causes such scheme here this is the mission scheme says that over the compliment Is this is their rights and so are the produces an isomorphism between the army the India's of its minus the z and its mines His for example so OK and in this situation I want to have the following deletion that for much of Wall script Surprise lost the motive force for a of overseas that meant that this this Mappsville motive fits him here at the world most of the show of of you want to say that this year I have to post signs so either of those incidents earlier this in year so I have to take the set the races could still I can't really see the school's the and also maybe she knew on the she is the demand from yes must nice the Nets in the post-Soviet because there is way that pocket on the basis of a hearing so many things that follow from from others oaks and a well you you can you can be sold so this is not too and it's not there so can Her are so this is not what's what's called usually called the was was it's also defiant and studied by every was key and it has a 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so on In and finally forays is really ready at strange well so it's it's already rented his opponents of so suppose accompaniment be from ex-prime it's the schemes and I'll be there they underlined the need to use usual schemes is Nizam In suppose that it induces demanding users of want and groped her fear of a stock write to them rental this is a nice then than I wanted to follow in relation that best price because this month so this kind of a way to say that everything depends on them for the game so I could become consider just the Canton of affairs explores this extension .period this must show on now our voting with some hidden during the winter of lessees who plays the role of a row over the years this phase of the moon of space local governments companies while you can the soul but his appearance so well they have category England CCH this is my catering here is the name for this so this is not a 0 sum games Hoskins so is of course a founder of this larger well would I think that anyone engaged in furious serves you right we welcome for him he so right so this fund is an occurrence of created so what does it mean so what are for example found that from this category who say the conservative ,comma the aha disputed strike that satisfied is with the property of the state of the claim is that the whole motive here is going to be extended uniquely Goldstein's provided has orders OK so long as you so let's see what so and particularly well of course qureia have the governmental the usually was the case in and no and then them composing verse and get their instinct now so that the construction of the pool is as medical uses very little Johnny instructed it's moral as being about to run and so well festival in all you have to prove so the excuse so you have to prove those things that are this is something that they have here is the oldest of the that's given into this swamp that is called it's fully free on whether the gleefully faithful it's difficult to think of this as you still think don't hand indeed so essential subject well and it's not so easy it uses step with that the implies implies B and therefore prove so so all you have to do is to prevail so and that's because and the UPN goodbye induction dimensions but not so you have to show that the union what if offering the lock scheme used in the middle of this although this fund and so have enough relations that express a motive offering you steam in terms of motives or from of over that's that's easy so you the game by dimension of your skills or if it's 0 dimensional them well it's it's defined as saturated so it means that my knowledge group is just that as you do then and a so France so so little the correspondent so if I have a buoyant and they could well it's motive for example is motive of GM and different considered Cartesian product of offering of any scheme of work .period is itself and so the 1st of the G Benji and followers from from from this and so any confusion using this property anyone 0 dimensional scheme as a senior differences but it's productive so now about what you're doing one-dimensional case so you have some tourists are well armed now Our GDP or whatever when open said little structure is obviously the really just as good responsible to the expansion and groupies is is just the extension of the and by and my virus stock in the and therefore are OK so you know what to do well on all-but-certain than yield you can use this answered Egypt's soon tho all this that this this what much of of the secure offices also so what what it is is this no I used because the because huh will if you look at this each CGA ships you always looks like so you have some are the interests of disease and then you have strong the plots of ex-prime this to prior so what's so I went to a show that then this I just started so that the soldier as the so-so knowing that the soldiers and the sort of tying the image and also they say when the construction of a conclude that the subject is ending but then I need demand from Annex From this polemic attest to this right and they need to show that this man is used the usual category of we Will you look at the way was to consider the disease by diffusion of service because that's the exact triangle that is a man from square bracket then still does not please the shift my wife they need to shoulder this matter actually exist show now so what you do for the good of the whole thing is that it is I use it it's very still operating so I could get close to that of all the colors of the 9 Eagle workers about the poetry rather than Missouri schemes and the world and then they'll get in and out of list of wealth application that I had in mind have to do is seen to grow the completion agencies on the polarization of usually with incentives and so on "quotation mark talk I mean so watch it all for our 40 so so what he has still not it's enough justified by a former nonsense and it's enough this to prove the theorem it's 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very simple your are sold on world you have the the period can be eliminated it can be considered at the summit achieve 1st of all this message to the part of the Government and the Alliance chief or that means simply that he believes he or any scheme which is small of war Over and over this he simply bulldoze stature if I have a man like this then again Bloomberg stature whistle-stop journey here and there there this summer so far and then what you know you just can't shoot his age the current knowledge all 4 of our the effects of these coefficients and semantic pops the sign out of generations in the category of massive systematic part of what they defined by wayward students made characterized by the property that they could be Texas isn't that much of a ski mask is the semantic part of motif of a scheme bands the motive of the semantic borrow the of the world just so for example of what happens if you think of him and his wife who was full of you don't the lottery or what that was 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have on multiple intersections world but still seems stable maybe that's not a good pitches so this should be a place where the lines so far from the village of national for the here and now so I don't think use in the competition is stable the generation and that's the right so I want to be that's what I want to look structure for typical of state fatigue from sticking seems stable in a stable the generation so I have components view on the article the World Services subsidiary ii behind Alonso success right have this Jim Dawson stories have relied reaches 0 they stated that that Our and then I have the decreased when GM doses and they have reaches a point of view and so OK so now idled by producing the sense that the matter from so for the 1st time will produce that Holbrooke form of SMU's Florida's forums you the finalists will be a the moderator so what does this say about marriage so so the plant corn it with very simple .period of books most worried so this Sylvia of all this but light so this is a product of you know it's a it's a it's a tossup all on 0 to break the ice with dimensions who is now what is the next storm so you take this sounds 1 let's face it said was something want it's not really it's profits on defense at the end of a major victory I want to make sense of sound so it means that this is we wouldn't think of this a joint and so on the prudence of I didn't find ties not included and here I will have to follow up on the sale stock thank you you I told you so what is meant the member that analyze the yield or you are therefore such just you by swelled section now the incident logical next and here's its luster his son by there over hence the intersection G. not for the life of the G 2 and salt all use here although differentials come from this section remember that paralyzed the the evil all so-so this has given such a game this distribution and so this is that what it's very simple ,comma it's now are formed as defined by complex said no 1 to 0 5 well what you do so you this is and then you take a where the following so if you have a scheme over it's 0 then world the lady off my home suspicious and 0 meanwhile the is a fallen you'd take correspondences border 0 but from what I talk this this complex so well informally you just exceptions all of this hundreds of rioters were right and then you make it ,comma be and my point is stinkin here so far let's go this this this and my Matsuda ,comma legend there also there are 2 0 down Missouri yeah His Kansas City's from origin of this experience with qualifications In sense that's all I have to say so there is 1 well that is as you see it it can ask whether there little geometry here and in thought that is there is no majority is the it's just the amount of Randall the fear is if you want brawl for example that if you have a small scheme than its most it's a isomorphic to the motif of the open part well-built structures that this I don't know how to them I know how to do it in the case of like normal person international crisis situation by the Jano class engine thank you very much Will the application of the good formerly used a similar to the end yet so so here are a defined and there is 1 and its this and this is absolutely all this set of Anderson I so if you want it is defined for legend In this fall for larger and right you have stalled just yet you need is the whole construction stamp duty ways former who Bloomberg was smaller than that of the Union defined for small raised by conciliation it's advises the defined is full of institutionalized number has these flows whom he is not just might on all year so so if you will if you wanted for some of the you have cancelation was also you can express their magical a lot of strength in respect of quotations as your friend in terms of how knowledgeable of the parties this confusion since and possible to solutions "quotation mark this year's near the end product of his death yes this was the reason should have the right to hold the idea of this this and this was to be the hearing was and so 1 yeah it's that's that's very good question it's that this this this whole or conflicts of schemes these over Aegean you even if you have are few have this is exactly as in their speech I start at least this gives you the 2 variables "quotation mark are if you want if you want to harm you believe that they deliver their vacation cyclists you'll have to take the fight over the over all of them so it's a it's a Yeltsin the bottom magic she what overdue How do I year revealed to the the not that it is a rather than them after GM plants from the digitization of the tens of comparable to this 1 1 so so he she should this 1 this smooth skims over all of this schemes over at 0 admits some of the GM for example because there was a lot of things that the product is there the police have said during in the public the political position here this is a reasonable rules people are waiting years so there is some the Rothe a so-so year sitcoms thinks the were combined so if there are major motion the IMO drove the mode of the need we was to much of is achieved is integral the Federation the show that the national you do what you has have here had reminded him with the news of the silver was well was here you don't have a lot fewer you don't have that we have to show is that there are no better than Whitaker modes of its locomotive that they did obviously was King would have redefined sites used this Moger of this device as defined by the cut in the Yemen but this is all just because of a cut in the Koyama motorcade theaters displays east of all absence and therefore on this front the from what motives is uniquely determined by its distinction tho you don't want to force the usual schemes that is an integral part in the 1st time he will and yet you have to be handed over there what you have is that there a sky in gained so that there won't be a reason why were presented here is that they want to wear was the must've really funny staged a portion supposed was the motives for the college losing our lives there is no clue is the result of years you knew you know I don't know now maybe that regular use of renewable fuels you thank you what
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Extension (kinesiology)
Fiber (mathematics)
Position operator
Stability theory
Process (computing)
Rational number
Nuclear space
Mass flow rate
Generating set of a group
Moment (mathematics)
Thermal expansion
Price index
Variable (mathematics)
Functional (mathematics)
Metric tensor
Hausdorff dimension
Normal (geometry)
Right angle
Flock (web browser)
Real number
Heat transfer
2 (number)
Power (physics)
Well-formed formula
Ideal (ethics)
Field (mathematics)
Condition number
Motif (narrative)
Shift operator
Forcing (mathematics)
Element (mathematics)
Projective plane
Incidence algebra
Differential geometry
Combinatory logic
Fiber bundle
Object (grammar)
Matching (graph theory)
Local ring
Inductive reasoning


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