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TZID:Europe/Berlin
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T133000
DTEND;TZID=Europe/Berlin:20221202T150000
DTSTAMP:20260531T212652
CREATED:20221123T103917Z
LAST-MODIFIED:20221130T203927Z
UID:4377-1669987800-1669993200@crc326gaus.de
SUMMARY:Bloch-Kato groups\, perfectoid fields\, and Iwasawa theory
DESCRIPTION:Gautier Ponsinet (Université Bordeaux) \nThe Bloch-Kato Selmer groups associated with a geometric representation of the Galois group of a number field take part in Bloch and Kato's conjecture on the special values of L functions of motives. In Iwasawa theory\, we are interested in the structure of these Bloch-Kato Selmer groups over infinite algebraic fields extensions. To do so\, we need to study the local Bloch-Kato groups defined via p-adic Hodge theory. In this talk\, I will present new results about the local Bloch-Kato groups over perfectoid fields\, thereby answering a question by Coates and Greenberg in new cases. These local results allow to describe the Bloch-Kato Selmer groups over many infinite extensions as Selmer groups "à la Greenberg" which are easier to handle. If time allows\, I will present immediate consequences of this description in Iwasawa theory.\nlivestream:\nhttp://129.206.106.240/UzPL29kB/mathematikon-seminarraum.html
URL:https://crc326gaus.de/event/bloch-kato-groups-perfectoid-fields-and-iwasawa-theory/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T140000
DTEND;TZID=Europe/Berlin:20221202T153000
DTSTAMP:20260531T212652
CREATED:20221129T122031Z
LAST-MODIFIED:20221130T213623Z
UID:4384-1669989600-1669995000@crc326gaus.de
SUMMARY:Torsors on valuation rings
DESCRIPTION:Seminar on Arithmetic Geometry \nA conjecture of Grothendieck and Serre states that a torsor under a reductive group over a Noetherian regular scheme X is Zariski locally trivial if it is generically trivial. Recently\, this conjecture has seen progress through the work of Fedorov\, Panin and Česnavičius. We shall see the historical background of this conjecture\, followed by the techniques that go into the proof of the quasi-split case in the analogous situation when X is a smooth scheme over a valuation ring of rank one. \nArnab Kundu (University Paris-Saclay) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/torsors-on-valuation-rings/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T140000
DTEND;TZID=Europe/Berlin:20221202T160000
DTSTAMP:20260531T212652
CREATED:20221116T085251Z
LAST-MODIFIED:20221116T085251Z
UID:4322-1669989600-1669996800@crc326gaus.de
SUMMARY:Rigidity properties of the cotangent complex
DESCRIPTION:Srikanth Iyengar (Utah) \nThis talk is about the cotangent complex of a homomorphism of commutative noetherian rings. I will present some new results on this topic\, some due to Benjamin Briggs\, and others obtained in collaboration with him\, that highlight various rigidity properties of the cotangent complex. These are reported in the following article: https://arxiv.org/abs/2010.13314
URL:https://crc326gaus.de/event/rigidity-properties-of-the-cotangent-complex/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221206T090000
DTEND;TZID=Europe/Berlin:20221206T100000
DTSTAMP:20260531T212652
CREATED:20221108T130601Z
LAST-MODIFIED:20221130T125714Z
UID:4202-1670317200-1670320800@crc326gaus.de
SUMMARY:Arithmetic Quantum Chaos and L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nIn this talk\, I will introduce some aspects of the theory of arithmetic quantum chaos\, focusing on the quantum unique ergodicity theorem for automorphic forms on the modular surface. Then I will give some results on effective decorrelation of Hecke eigenforms and the cubic moment of Hecke-Maass cusp forms. The proofs are based on the analytic theory of L-functions. \nBingrong Huang (Shandong University) \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/international-seminar-on-automorphic-forms-tba-4/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221209T153000
DTEND;TZID=Europe/Berlin:20221209T170000
DTSTAMP:20260531T212652
CREATED:20221202T082640Z
LAST-MODIFIED:20221202T143116Z
UID:4447-1670599800-1670605200@crc326gaus.de
SUMMARY:Depth $0$ local Langlands and cohomology of stacks of global chtoucas
DESCRIPTION:Seminar on Arithmetic Geometry \nLet $G$ be a split reductive group\, $X$ a smooth proper curve over a finite field and $x \in X$ a place. Let $F_x$ the completion of the function field of $X$ at $x$. In this setting\, Lafforgue and Genestier have constructed a semisimple local Langlands correspondence for $G(F_x)$ by geometric methods. In another direction\, DeBacker and Reeder have constructed the depth $0$ part of a local Langlands correspondence by representation theoretic methods. In this talk\, I will discuss some compatibility statement between the two constructions and explain the connection to global chtoucas over $X$. \nArnaud Eteve (ENS\, Paris) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/depth-0-local-langlands-and-cohomology-of-stacks-of-global-chtoucas/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221212T133000
DTEND;TZID=Europe/Berlin:20221212T151000
DTSTAMP:20260531T212652
CREATED:20221209T082911Z
LAST-MODIFIED:20221209T082911Z
UID:4582-1670851800-1670857800@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 1: The purpose of this talk is to discuss the point-set topology subtleties that arise from working with non-analytic adic spaces within Scholze’s framework of v-sheaves. We recall miscellaneous aspects of the theory of adic spaces\, perfectoid spaces\, diamonds and v-sheaves. We introduce the small diamond and big diamond functors. We define the “diamond” (or olivine) spectrum of a Huber pair and describe it. We explain explicitly the example of the olivine spectrum of valuation rings. Finally\, we use this topological considerations to “explain” the reversal of closure relations betwenn |Bun_G| and |Isoc_G|. \nIan Glesaon (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221212T160000
DTEND;TZID=Europe/Berlin:20221212T180000
DTSTAMP:20260531T212652
CREATED:20221202T151545Z
LAST-MODIFIED:20221208T130207Z
UID:4468-1670860800-1670868000@crc326gaus.de
SUMMARY:Milnor K-theory of p-adic rings and motivic cohomology
DESCRIPTION:Dr. Morten Lüders (Hannover) \nAbstract: We explain a joint work with Matthew Morrow on $p$-adic Milnor K-theory. Our main theorem is a comparison of mod $p^r$ Milnor K-groups of $p$-henselian local rings with the Milnor range of a nwly defined syntomic cohomology theory by Bhatt\, Morrow and Scholze. We begin by putting our result into context. Then we sketch the proof which builds on an analysis of a filtration on Milnor K-groups and a new technique called the left Kan extension from smooth algebras.
URL:https://crc326gaus.de/event/tba-27/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221213T095000
DTEND;TZID=Europe/Berlin:20221213T113000
DTSTAMP:20260531T212652
CREATED:20221209T083324Z
LAST-MODIFIED:20221209T095037Z
UID:4585-1670925000-1670931000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds.
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 2: The purpose of this talk is to discuss the theory of kimberlites. We introduce the reduction functor\, specializing sheaves\, prekimberlites\, kimberlites\, tubular and etale neighborhoods. We discuss the topological specialization map and the v-sheaf theoretic specialization map. We discuss the etale site of a prekimberlite\, the formal and analytic nearby cycles functors and the comparison between them. We discuss finiteness condtions and the specialization triples principle. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-2/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221213T160000
DTEND;TZID=Europe/Berlin:20221213T170000
DTSTAMP:20260531T212652
CREATED:20221108T130803Z
LAST-MODIFIED:20221213T100944Z
UID:4204-1670947200-1670950800@crc326gaus.de
SUMMARY:Bias in cubic Gauss sums: Patterson's conjecture
DESCRIPTION:International Seminar on Automorphic Forms\n \nWe prove\, in this joint work with Maksym Radziwill\, a 1978 conjecture of S. Patterson (conditional on the Generalised Riemann hypothesis) concerning the bias of cubic Gauss sums. This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by Kummer in 1846. One important byproduct of our proof is that we show Heath-Brown’s cubic large sieve is sharp under GRH. This disproves the popular belief that the cubic large sieve can be improved. An important ingredient in our proof is a dispersion estimate for cubic Gauss sums. It can be interpreted as a cubic large sieve with correction by a non-trivial asymptotic main term. \nAlexander Dunn (Caltech) \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/international-seminar-on-automorphic-forms-tba-5/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221214T140000
DTEND;TZID=Europe/Berlin:20221214T160000
DTSTAMP:20260531T212652
CREATED:20221202T151837Z
LAST-MODIFIED:20221202T151837Z
UID:4474-1671026400-1671033600@crc326gaus.de
SUMMARY:Torsors on Valuation Rings
DESCRIPTION:Arnab Kundu (Université Paris-Saclay) \nAbstract: A conjecture of Grothendieck and Serre states that a torsor under a reductive group over a Noetherian regular scheme X is Zariski locally trivial if it is generically trivial. Recently\, this conjecture has seen progress through the work of Fedorov\, Panin and Česnavičius. We shall see the historical background of this conjecture\, followed by the techniques that go into the proof of the quasi-split case in the analogous situation when X is a smooth scheme over a valuation ring of rank one.
URL:https://crc326gaus.de/event/torsors-on-valuation-rings-2/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221214T160000
DTEND;TZID=Europe/Berlin:20221214T170000
DTSTAMP:20260531T212652
CREATED:20221205T124531Z
LAST-MODIFIED:20221205T124531Z
UID:4517-1671033600-1671037200@crc326gaus.de
SUMMARY:Der Satz von Belyi
DESCRIPTION:Marie Kassner (Universität Frankfurt) \nBachelorabschlussvortrag
URL:https://crc326gaus.de/event/der-satz-von-belyi/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221215T133000
DTEND;TZID=Europe/Berlin:20221215T151000
DTSTAMP:20260531T212652
CREATED:20221209T083522Z
LAST-MODIFIED:20221209T095239Z
UID:4587-1671111000-1671117000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds.
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 3: The purpose of this talk is to discuss the moduli of B^+_dR-lattices with extra structure. We prove they are kimberlites in general and we sketch the proof of the representability by formal schemes of the “local models” attached to minuscule cocharacters. We introduce the notion of unibranch kimberlites and explain its relation to normality. We prove that these moduli spaces are unibranch. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-3/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221215T140000
DTEND;TZID=Europe/Berlin:20221215T160000
DTSTAMP:20260531T212652
CREATED:20221012T071938Z
LAST-MODIFIED:20221208T142813Z
UID:3768-1671112800-1671120000@crc326gaus.de
SUMMARY:Residual intersections and Witt-valued Euler numbers
DESCRIPTION:Tom Bachmann \nReport on joint work with Kirsten Wickelgren. Let K = J:I be a (local) residual intersection satisfying appropriate hypotheses. We show that the conormal module J/JK is free and use this to exhibit a *canonical* isomorphism between I^{t+1}/JI^t twisted by the determinant of J/KJ and the canonical module (the derived dual of R/K). Using this we determine the canonical modules of global residual intersections. As an application we show how to interpret the van Straten–Warmt form of an almost complete intersection as arising via algebraic surgery from the Koszul complex. This yields a new local formula in quadratic enumerative geometry.
URL:https://crc326gaus.de/event/t-b-a-3/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221216T133000
DTEND;TZID=Europe/Berlin:20221216T150000
DTSTAMP:20260531T212652
CREATED:20221202T152055Z
LAST-MODIFIED:20221202T152055Z
UID:4476-1671197400-1671202800@crc326gaus.de
SUMMARY:A motivic integral p-adic cohomology
DESCRIPTION:Alberto Merici (Oslo) \nAbstract: We use the theory of logarithmic motives to construct an integral p-adic  cohomology theory for smooth varieties over a field k of characteristic p\, that factors through the category of Voevodsky (effective) motives. If k satisfies resolutions of singularities\, we will show that it is indeed a “good” integral p-adic cohomology and it agrees to a similar one constructed by Ertl\, Shiho and Sprang: we will then deduce many interesting motivic properties.\nIf time permits\, we will explain how the above construction suggests a strategy to prove a conjecture of Hübner and Schmidt on tame motivic cohomology.
URL:https://crc326gaus.de/event/a-motivic-integral-p-adic-cohomology/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221216T140000
DTEND;TZID=Europe/Berlin:20221216T170000
DTSTAMP:20260531T212652
CREATED:20221209T083709Z
LAST-MODIFIED:20221209T095342Z
UID:4589-1671199200-1671210000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 4: The purpose of this talk is to discuss the moduli of p-adic shtukas. We prove these moduli spaces are smelted kimberlites and single out the difficulties to proving that they are kimberlites. We discuss the v-sheaf theoretic “local diagram correspondence” for tubular neighborhoods relating moduli spaces of shtukas to moduli of B^+_dR-lattices. We prove they are unibranch. Finally we expalin how this is used to compute their connected components. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-4/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221220T160000
DTEND;TZID=Europe/Berlin:20221220T170000
DTSTAMP:20260531T212652
CREATED:20221108T130945Z
LAST-MODIFIED:20221213T101233Z
UID:4206-1671552000-1671555600@crc326gaus.de
SUMMARY:Distributions of Manin's iterated integrals
DESCRIPTION:International Seminar on Automorphic Forms\n \nWe recall the definition of Manin’s iterated integrals of a given length. We then explain how these generalise modular symbols and certain aspects of the theory of multiple zeta-values. In length one and two we determine the limiting distribution of these iterated integrals. Maybe surprisingly\, even if we can compute all moments also in higher length we cannot in general determine a distribution for length three or higher. This is joint work with Y. Petridis and with N. Matthes. \nMorten Risager (University of Copenhagen) \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/international-seminar-on-automorphic-forms-tba-6/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221222T140000
DTEND;TZID=Europe/Berlin:20221222T160000
DTSTAMP:20260531T212652
CREATED:20221116T085525Z
LAST-MODIFIED:20221207T085757Z
UID:4324-1671717600-1671724800@crc326gaus.de
SUMMARY:Homotopical characterization of exceptional complete intersection maps
DESCRIPTION:Janine Letz \nA surjective map between commutative noetherian local rings (R\, m) → S is exceptional complete intersection (eci) if its kernel is generated by a regular sequence that is part of a minimal generating set of m. I present two characterizations of eci maps: First\, a map is eci if and only if the truncated Atiyah class vanishes at the residue field. This establishes a second characterization in terms of the lattices of thick subcategories of complexes of finite length homology. This is joint work with Srikanth Iyengar\, Jian Liu and Josh Pollitz.
URL:https://crc326gaus.de/event/tba-29/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR