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Non characteristic finiteness theorems in crystalline cohomology

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Title Non characteristic finiteness theorems in crystalline cohomology
Title of Series A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Part Number 1
Number of Parts 12
Author Berthelot, Pierre
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 10.5446/20243
Publisher Institut des Hautes Études Scientifiques (IHÉS)
Release Date 2015
Language English

Content Metadata

Subject Area Mathematics
Abstract On the crystalline site relative to Z/p^n, I will explain the construction of two triangulated subcategories of the derived category of complexes of filtered modules on the structural sheaf, linked by a local biduality theorem. For these complexes, one can prove finiteness theorems for inverse and direct images which are analogous to the "non characteristic finiteness theorems" in the theory of complex D-modules, and one can generalize the classical finiteness and duality theorems in crystalline cohomology.
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so many things and there are thank you very much and still thank you I'm affiliated to the organizers because it's really good for me to to speak at the sentencing system of possible we had setting for the 1st time in 74 on we're working studying comedy from the very beginning and now I'm returning to encouraging gains so think possible freed circumstance to the nevertheless is not adopted a new work by far and I have to apologize to those who have held earlier versions of this we suspected overdue gave took on the role that the conference was due increases this isn't Dokic said that no there are slides and that's popular results of fossils insistence for me to lie down completed his research which I have not changed to let the distance away from you thank the keys advice seriously OK so I want to talk about Christa encourages him might be to the end of the tied to the marginal fired mestizos examples which are physically known so the additions on interdiction women annotations based upon number and integer reworking would be to the end give it would be a perfect of characteristic being individual liberty when the fate of the victims of land and descriptions in the case
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edition of the perfect complex's so I will give and look over his description was said at the complex is the perfect if there is an opponent of roaring in the scheme and for each open subsets of the governing the virus under profit complex of the module lucky 15 such that our finishes complexity don't twist think that the complex so the president sight of the open is this year off on the specific complaints locally I have complex which can be identified with it in which complexes in the essential and C often does "quotation mark for this instrument is dependent upon some kind of trust of governing with the Museo del it's not so special case is about the perfect complexes of for example rise modules it's the embodies the size and take the guy the profits too and we the knowledge that perfectly in this city that means that they have found resolution related the model year yes but the lack of assistance inside the fortitude image of Hurricane Frances image so we don't using itself the commented that the question hand take on covering this case that perfect complexes the definition of a perfect complex on the site so long as they have so to of admission but again this comes in only the 2nd in next slide so with the because is I would the the index is the birth the category of the .period that is was the perfect complexes unknown is the until the with you said you cannot be stopped decision eyes being here example of the equal for-profit complexity module fall in anything if you assume the conditions for opening all but this will continue that's the people OK so as a consequence
of finally getting his timing related another
protestation of deep affection is but again do iterative to as SCO which is of course much easier because you don't have to lift anything is something which already assumed to be the signing of a final toll dimension and Bloomberg did not mention condition can be restricted to awards equivalent to every whose respect lesson to the suspect Elizalde here's father and he
has a lot to him In this is the 2nd section there the Justice the general which has been put them was segments of the from on the
other side of the court the so much as they always do goes into as just a PGA National which is defined by you he did put on that idea and x 0 always osmosis scheme as it was in an accident at the close to the south of of very well article for the rest of the world 1 of the by opponents of the measure of the most creative periods this is the year of the contract called for the release of the state Saturday about the about the fate of many homes Louisiana New munitions unity surfactant and political the men with that in mind that there still is the for quality of him is for the time being enough opposition is still and I'm not sure this is essential in fact but if you dig began Robson in any case will have to take convicted begin the hopes of these good results in the southern coast .period problems but did not mention that can be eliminated at the initiative of the music I don't know when I would find a friend from the same we have to fight for you
folks OK so and we have this notion of deep affection but the 1st to market that isn't doesn't believe so when we suspected clothing notions what happened was close assume that that is the old comics Zia waterways it was a close enough then there are the following description of the 19 made of the total achieved is ridiculous as beginning in this case and in sight of 1 0 0 call you the intersection of the In recent 0 0 that I I can give you is you as a there was a gross of scheme of the final 1990 J. divided 1 the above K was compatible with media was the amount of stock and then the data beady-eyed judging in my case taunted by the end the power of the drug war during the sense of the site there are they taking us the issue and judges in all complicated thing would just be the formal completion of food to only miles I enough this is Nelson made of clay shares in general are few stuff was going say look at Infineon schemes but it's not quite the Koreans which already for that the Senate bill the benefit complex as we find it so that's not a problem with it but I'm concerned Simon different at this the market position of looking at the at the mention of the of the substantially from the universities inside the following year as defined by the genetics module but is Dixon when using the private To infinite Union of stuff from some modules for all the EP coverage of recession short so in finding and explaining cynical that this complex is the only it's as old as you know and you are offered a perfect compressed Monday the perfectly to the wall of the Prophet and his Iowa laughter
and would another category which only goes deeper do all of the Prophet complexes which originally by Duchesse perfect complexes the military won't want to lose anything right did this narrative of 0 these are all and because the issues which I which I am working on lots 5 Virginia the overall as they do something particularly into account this investors in its problems and the trust of the men was to introduce his creation that what started his creation and to work systematically with physical complain so what I mean by physical demands on when you it is different as in going backing that is there is no assumption of some used to be details about the nest or anything on the recession just enough stocks expression with no particular problem but this is can use to give fistfuls of another user from goes on and and support that the and meeting the new inducing notion of investigators and so on the from doing can think of as a 5th so it's especially by using from Alexei we reserve the physician given by the idea was defines a 0 2 as the been getting profession which is discreetly mission and so I negative and we just a guy called always for all the chief of the fragile Barrett doesn't does matter authorization by the order of the country operators which is increasing frustration where the previous 1 was decreasing but I don't uses this 1 because I'm walking on I want the only 4 questions Monday I so I have to another inflation by making it and support it with a physician DID the precision coming from the base but his description of the decision for ordering the mission to repair finally wants the overall as other mature PGA the Jagdeo which is the governor of the maps to the teenager for its zoo 1 % James not really fear finds you you think we decide you over whom to define a thickening you could stand other futures fell by the divided by walls of decided during the war so where we use of donors official Questar antiquated this notion was encouraged by progress in his new the restorers but that thing that's a few other examples ice module that start throwing a ball fees and interest that inside the politician morphism 1 is fizzled isomorphic that is you have to take into account in the tens of water to the fish vision of the we have the big any professional enterprise and this you fish televison so that you are in the course of categories between physical 11 existing would use for the 5th session of Andy Card previously on the results the story in this stance on works that will work for the confines after so now we have
to go to the market so there is a need to around to say it's not category of his government use another million category but now that it is an exact adding only in the sense of
creation and that is you have a Boston of exact sequence this has been investigated by constructed the day after the glories of the exact is the sense of community when the advisers to the category of 6 modules which until today some additional input assumption that the cannot use here but the point is that an order from the and working with you that you have enough encyclical displayed objects torrential in the ability of the user from us that is don't support me on this .period affable entirely with still the 3rd you what you can check that the conditions also To look at around complexes Firestone imaginable breaks and buffer complexes can be extended From with the exposing of using them as geniuses for the context of the government you the 2nd statements so I will use its concession to divide the 5th of signs the front of 6 0 and from now on I will always assumed that they missing respects his question so we got out there will be notion the aggressive of getting only between the dominant the stilt complexes which of 5 fundamental part was equivalent of the eggs To this same thing which is the study and will examine all parts of the world is all previous agreements that no restrictions and you know history can define the category of the traffic feature-filled complexes as default by the local conditions the greater resistance lifting offer a subset of effects on which company freestyle complex and interesting insight comes from the perfect reasoning with perfect that complex underlying addition to go so to those states the limelight I have to know we have to price for the pudding the existing mission in the definition has no evident when you see it so I do not buy it on the eve of a system allowing the Union of 4 or 5 feet of 80 I was calling the sentiment of finite although in and similarly for initially still in endured for the last summer and users of the idea of it I can't use them only the induces pressure so we if things in the Valley of Maduro said that they exist even if there was anything the sort of information that they were applied to social complex another Compaq is exhaustive in the chemical morphism from which is an exact from dozens of calls to the art of getting only 4 of this new scandal from from note after you do it in more freezing the Ocatillo In that area geographical basis existence is well-known to the fact that moving of the varietals itself and only existing 5th edition Of the statement just north of the border
no yes it can some cases you have to put the assumptions and Foster for the physician was existence create and maybe even a check when the is misleading and can be done about that so far the point that they using caution OK so let me down to the advisory up to presidential complexes that you know that I know of is domain when you enter the stumbling aid so I have no tradition of evaluating morphism native to I've got which sends bill to under 2 of them that being that I don't like that inside the small freedom which is a few still morphism I animal feed which is induced by you the previous 1 and the amount of Firethorn also adjust and careful and of the OMB I use a lot of them laugh vigilance fire from anything here where is place in a single 7 under to the set of movies and frantic older I'm willing doesn't this month as in enthusiasm Euratom morphism so this year I would call a defiant although not original season for inability to and decision can be extended to the job category to you between the islands by written between the horns so I knew devising complex and eggs although I ask that this is cheating because I'm in no assumptions and so excluded from carrying reacted using complex business is going to be just as total achieved so as to achieve shifted by Dix this is my Dierkes for the official and chief and my 2 lyrics from the Green and then I will use addition in the church although the shares of figs over followed and find although morphisms of fleeing to kill and if I lifting and we didn't myself cherish the composition of 0 on the interest that is and from development dominated by setting Seok transsexual few notes is still the ideal of freedom chest so know if I think
it is going to be exhaustive
if they're working out getting Williams that this is going to be equations of morphine and this is my 1st of all a migrant amount and I can involve the 1st smarter than get invited this year
and there morphism formed doubt do you know checks cherish somewhere in the dirt isn't an exhaustive complex so there is
amended interim which says 1st on notes which is the perfect when did you have the tougher the complexes in the work from Brighton exhausted Bloomberg in the life sentence than anyone without taking the airforce in fact existing answers isomorphic to judge war printed on them and then the key point in the divided into morphisms you are following don't all into the wall which is due filed because of shortages of the laws existing is to violate a morphism lies in the so you're gonna lose no sane when you go from a complex which is the perfect to its line of the war in science which is just perfect so I
really find no former indicating the just perfect complex by saying that locally there are presently for falsely need not in this century image of serious chest the Fulton today is an intrinsic to guide decisions which is more business because abundant CFOs
going so have the following conditions the amnesty qualities adults must be exhausted that is Jewish would be deeper effect and that the minority morphism from the United involved so as a
career did that get just profit is playing at its subcategory hinted on time equivalent of getting 1 of
the tougher complex OK you know it's with that section comprising friend of alliance so for the profit and adjust effective complexes can define a single supports mimicking the construction of everything you father arguing in India's 1st of 4 if you assume that thinks or others who was 15 the burden of India for these 2 recessions and modified efficient that I introduced earlier His inside pencil product of the guidance of the DAX 0 With the resident of all acts by the government of Oryx is just 1 example press some new productions so this means that this is going to of DX I was as a spectral on this and other debris could annoying inspect from the production space of 6 0 so we systematically identified the lure of the text with equivalent space an example there then issue tag associated guided module which you can define we could an exact from down the Kandahar after the only a feast of complex the shares this complex which is now complex for in and getting worried that guy on the excellent so we can assertion that current chief 1 x zeal we said :colon mentioned of said Kwesi currently the company said good so you chief on July when Spangler DX which is quite encouraging pretending that it's didn't end of lowered I've use this as a sheaf chiffon it could space despite these you so that
this case if I were the geographic complex on the southern scientific zeal which comes from perfect complex on the menu and UXO weeding out my excess of his State of the Union of the support of this request agreement she's aged and of going to go for a vote no inside the stocks zeal so that on the upon 115 easy to check and can grew unknowing can O'Brien is to the by taking the support of the new order of the Solar you have this notion of singing simple formula full or if she's
entitled to shows complex enjoys only defecting to judge the fact that I want to introduce enlistment artistic conditional fees and so the good of face as a complete inventory the because in this case Gordon from the sole issue of more freedom of skins from explored ways you will be 1st and garden square of this morphism with government good comparator-controlled space otherwise you all and then from there but the amount was from you .period action from you cause a wise old to start what will otherwise able to justify zeal so this is a classic case of injury on the Durupan being renewed selling Charter always defined on the basis and he said that a 0 is none characteristic fall complexity fine of 1 hopefully the definition to invest images is the actions when think didn't approve not so you have the floor a few of these stimulus support students couldn't of a weekend put back to the time report doesn't mean you can't project to deliver phase of exile on you want is for elections expected to pull back this support the proper and it is was satisfied whenever he always moves so these contained case of 1 of the the major rice was the givers than that of the situation solidarity managers not-so-new because it's equal the founded and restricted to the support of the complex and the example is popular OK so no
political decision of direct investment from tells fold the Madurese ineffable shake of the open door press of the doctrine and that is a complex of when he was unwise there complex of acts and it's a wise is more freedom skins then
you can define began told as intact as 6 0 all that you have been uncharacteristic triteness Iran's funding Madurese the poll victory centuries and that which is given by a human characters Ezio except that the only was the fact that the ring of the general Bear tells a story that emerged mentioned that makes things at the Museum of abandoned at my disposal here so we have to use what was my answer to Munich's questions communities facility of taking profits and by taking lessons it the final wanted consider this statement inconsistent statements on the cassette inside so fast US images the firm offer Lofton was excusable you have trusted Genoa compatibility following the complex which is longer than the online the loss image of sales zeal of forever .period is a serious example of forever partially covered that up to some recent shift which will come from the definition of affable shake and issue this and the fact that the motion of the definition can just take cookery then find that if you start physical morphism which is an uncharacteristic for if and then as the investment of having dealt with this thing we did affect the next for a
similar result just offered but have to do something which urging Clinton discussed so far which is used to the increase in doubles 2 of possiblity of interpreting the existence of the on which intelligent and those who do anything as a local around I mean just the mention of the song as the restriction to the subside solution that images from a much nicer on the need to set inside and this is why did user here so with this caveat if you Foster for you have known without initiative compatibility between the inverse image for CIA cherish and in image for the concerns of estimate for the accession of the suggestion of the Duma during those dimensions and
again as you make them uncharacteristic assumption that the venue of revision of the justifications
soloist to the case of images Nice trusted case well from the notion of the perfect complex gives way where this is the case of small small fees In this case you love competition between American image of the 2019 marriage of still example and because I know this is a major offer after us the no-load you pull this is basically because the 2 sides can be identified with convergence of the things that carefully lifted Sunday misogynistic amongst
now we did use that the following a few hours most morphism Williams there was none characteristic for complex which is the effect and 6 0 0 you know that this documentary be deep effect when 1 your eyes so this essentially means that you have morphism of schemes which is smooth and you have a complex which I support which is proper so it's an improvement of the classical report on with sufficient when an invisible to be I know a
few if any officials this vision about the chest you do individually just perfect complexes with magnificent 19 majors so I need denoted
by isn't the only 1 which is the following that was another problem of between small said schemes and Jimmy F. the complexities in India fell the ANC's then In the delicately woven GOP congressional wives your last year of competition between the 2 studies Cynthia from Poland directly mentioned in the menu 6 . 0 on the dot the sense is the document that inside of the church of the fall of the beginning of this line so
I have to make an assumption because the issue is rated speed kind of legendary interference soldiers going to screw things in the eyes of office and encouraging and follow the signs to assume that this is a quotient of disintegration going for much that for time I don't think this notion social these conditions should stay for a writer were thinking it was just doing what I had to do to get the right to focusing
convergence must know that there is no reason why is that from the traditionally which would you generated 200 you should soon assume that there reason reason complex for them but for the time being treated to OK so we haven't
do you do it this year and then we deduce from this that the state should exert a off problems most left 0 is a morphism between exiled 2 ways you lending banking image of just perfect complexities of residents just perfect complex this includes both the case of clothing and most most maps and Elektra is appalled this is the last of the nation Primos here is the 1st case follows from the fact that and we have these conditions year-end goes for between serious it's you'll cherish on crystalline and if it will have .period In the case of some of my office and his because lower than union of the
traditional languages crystalline traditional and where the facility ridiculous to assume that you have a proper answer was more feasible small says it will schemes 1st of all there's a trace amount on the argument of the world where do do anything she can exert over as 2 0 1 0 over and which of the 2 years beginning wiser when the
previously getting wiser 0 otherwise you it is clear from the home place more feasible With this community Fry was Don Virginia tuition and twist and it's not something that is defined soluble bearing between the direct image of a depressant effect complexity .period on the image of its do to casing virus and this the effect is this bearing is a perfect fit for this nowadays you that's the IG Metall the Duchesse profit complex cherish it said just preferred because it's simply that the of the direction in which we have seen only have to be perfect direct images of the notice was small fees for claimants alleging that the yen more didn't you should only
sold and most stating that the results will converge itself which is former consequence when think was it ought to be respectful the UN Of the previous statement good architecture each person all Newman is very interesting that have a free she thought was Dubuffet complex venue of the prosecution's medical mission in and which was in defining it as a do-or-die on a at the start the during the war in this way you can define after if you want to make a difference in the going to be the findings in the hope of survival because of people from up by the same taking there is evidence and folded up between walls but this and there job the overarching electoral lost allies lofting the ball person in the border keys still most good but you can define abortion we can do it it's not like some thank you
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Glattheit <Mathematik>
Lie group
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Glattheit <Mathematik>
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Glattheit <Mathematik>
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Kontraktion <Mathematik>
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Exact sequence
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Duality (mathematics)
Computer animation
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Isomorphism
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Perfect group
Condition number
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Ocean current
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Affine space
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Spacetime
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Basis (linear algebra)
Computer animation
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Function (mathematics)
Phase transition
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Condition number
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Shift operator
Existence
Characteristic polynomial
Consistency
Lemma (mathematics)
Inverse element
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Ring (mathematics)
Inverse element
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Computer animation
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Meeting/Interview
Isomorphism
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Glattheit <Mathematik>
Category of being
Fiber (mathematics)
Perfect group
Resultant
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Computer animation
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Lemma (mathematics)
Isomorphism
Inverse element
Homologiegruppe
Glattheit <Mathematik>
Pairwise comparison
Perfect group
Reduction of order
Proof theory
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Observational study
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Characteristic polynomial
Position operator
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Duality (mathematics)
Order (biology)
Funktor
Computer animation
Morphismus
Isomorphism
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Homologiegruppe
Directed set
Glattheit <Mathematik>
Diskreter Bewertungsring
Pairwise comparison
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Multiplication sign
Duality (mathematics)
Order (biology)
Sign (mathematics)
Funktor
Canonical ensemble
Isomorphism
Quotient
Directed set
Glattheit <Mathematik>
Diskreter Bewertungsring
Pairwise comparison
Condition number
Observational study
Proper map
Valuation (algebra)
Line (geometry)
Computer animation
Morphismus
Quotient
Theorem
Right angle
Perfect group
Valuation using multiples
Perfect group
State of matter
Graph (mathematics)
Multiplication sign
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Duality (mathematics)
Order (biology)
Funktor
Quotient
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Directed set
Diskreter Bewertungsring
Glattheit <Mathematik>
Pairwise comparison
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Condition number
Proof theory
Observational study
Proper map
Density of states
Computer animation
Morphismus
Theorem
Perfect group
Immersion (album)
Trigonometry
Group action
Proper map
Characteristic polynomial
Direction (geometry)
Iterated function system
Parameter (computer programming)
Cartesian coordinate system
Computer animation
Morphismus
Homologiegruppe
Glattheit <Mathematik>
Perfect group
Curve fitting
Goodness of fit
Process (computing)
Morphismus
Meeting/Interview
Characteristic polynomial
Survival analysis
Exponential function
Subtraction
Perfect group
Resultant
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