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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221206T090000
DTEND;TZID=Europe/Berlin:20221206T100000
DTSTAMP:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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:20260601T005448
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
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230110T090000
DTEND;TZID=Europe/Berlin:20230110T100000
DTSTAMP:20260601T005448
CREATED:20221108T131141Z
LAST-MODIFIED:20221213T101351Z
UID:4208-1673341200-1673344800@crc326gaus.de
SUMMARY:Deligne-Mostow theory and beyond
DESCRIPTION:International Seminar on Automorphic Forms \nBall quotients have been studied extensively in algebraic geometry from the aspect of moduli spaces\, and in number theory with emphasis on the relation with modular forms. The Deligne-Mostow theory gives them moduli interpretation through the isomorphism between the Baily-Borel compactifications of them and certain GIT quotients.\nIn this talk\, I will discuss whether the isomorphisms given by the Deligne-Mostow theory are lifted to other compactifications from the viewpoint of modular forms and pursue “better” compactifications. Moreover\, I will also clarify their connection with the recent development in the minimal model program. This work is based on a joint work with Klaus Hulek (Leibniz University Hannover). \nYota Maeda (Kyoto 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-7/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230111T160000
DTEND;TZID=Europe/Berlin:20230111T170000
DTSTAMP:20260601T005448
CREATED:20220810T084754Z
LAST-MODIFIED:20230109T100007Z
UID:3460-1673452800-1673456400@crc326gaus.de
SUMMARY:Gauged Gromov-Witten theory and affine grassmannians
DESCRIPTION:Oberseminar Algebra und Geometrie \nRescheduled to 10.01.2023\, 4pm\, room 308  \nAndres Fernandez Herrero (Columbia University) \nAbstract: Objects of interest in algebraic geometry (e.g. curves\, vector bundles\, or differential equations) are often parametrized by algebraic varieties\, called moduli spaces. In this talk I will discuss some recent techniques developed to construct moduli spaces for a broad range of moduli problems which are related to the moduli of vector bundles on a fixed compact Riemann surface.\nWith time permitting\, I will also try to explain what it means to count vector bundles on compact Riemann surfaces\, and why such counts are given by combinations of certain special values of transcendental functions. This talk is based on joint work with Daniel Halpern-Leistner. \n 
URL:https://crc326gaus.de/event/tba-11/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230113T133000
DTEND;TZID=Europe/Berlin:20230113T150000
DTSTAMP:20260601T005448
CREATED:20221214T125541Z
LAST-MODIFIED:20221214T125541Z
UID:4625-1673616600-1673622000@crc326gaus.de
SUMMARY:The Picard-Lefschetz formula for normal crossings
DESCRIPTION:Moritz Kerz (Universität Regensburg) \nAbstract: In the study of semi-stable degeneration of Lefschetz pencils one is led to a generalization of the classical Picard-Lefschetz formula for certain perverse sheaves on normal crossing spaces. In the talk I will recall the formalism of nearby cycle and vanishing cycle functors and I will explain how Hodge theory allows one to obtain the normal crossing Picard-Lefschetz formula. Joint work with A. Beilinson and H. Esnault.
URL:https://crc326gaus.de/event/the-picard-lefschetz-formula-for-normal-crossings/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Christian Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230117T090000
DTEND;TZID=Europe/Berlin:20230117T100000
DTSTAMP:20260601T005448
CREATED:20221108T131521Z
LAST-MODIFIED:20230109T081927Z
UID:4210-1673946000-1673949600@crc326gaus.de
SUMMARY:Sup-norms of automorphic forms on average
DESCRIPTION:International Seminar on Automorphic Forms \nBounding the sup-norms of automorphic forms has been a very active area in research in recent times.\nWhereas lot of nice results are known for small rank groups\, like GL(2)\, almost nothing is known for\, say\, Siegel or Jacobi modular forms of higher degrees. In this talk we aim to discuss some conjectures and results in this area. We use either the theory of Poincare series or averages of central values of L-functions to tackle this problem. Our methods have the benefit of having a hands-on approach and fits into many situations.\nSoumya Das (Indian Institute of Science) \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-8/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230118T160000
DTEND;TZID=Europe/Berlin:20230118T170000
DTSTAMP:20260601T005448
CREATED:20221004T133821Z
LAST-MODIFIED:20230110T102733Z
UID:3715-1674057600-1674061200@crc326gaus.de
SUMMARY:Expanded degenerations for Hilbert schemes of points.
DESCRIPTION:Oberseminar Algebra und Geometrie \nCalla Tschanz (University of Bath) \nAbstract:\nLet X –> C be a projective family of surfaces over a curve with smooth generic fibre and simple normal crossing singularity in the special fibre X_0. We construct a good compactification of the moduli space of relative length n zero-dimensional subschemes on X\X_0 over C\{0}. In order to produce this compactification we study expansions of the special fibre X_0 together with a GIT stability condition\, generalising the work of Gulbrandsen-Halle-Hulek who use GIT to offer an alternative approach to the work of Li-Wu for Hilbert schemes of points on simple degenerations. We construct stacks which we prove to be equivalent to the  underlying stack of some choices of logarithmic Hilbert schemes produced by Maulik-Ranganathan.
URL:https://crc326gaus.de/event/tba-20/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230119T140000
DTEND;TZID=Europe/Berlin:20230119T160000
DTSTAMP:20260601T005448
CREATED:20221107T085125Z
LAST-MODIFIED:20221212T124637Z
UID:4157-1674136800-1674144000@crc326gaus.de
SUMMARY:The standard conjecture of Hodge type for abelian fourfolds
DESCRIPTION:Guiseppe Ancona (Strasbourg) \nLet S be a surface\, V be the Q-vector space of divisors on S modulo numerical equivalence and d be the dimension of V . The intersection product defines a non degenerate quadratic form on V . The Hodge index theorem says that it is of signature (1\, d − 1). In the Sixties Grothendieck conjectured a generalization of this statement to cycles of any codimension on a variety of any dimension. In characteristic zero this conjecture is a consequence of Hodge theory but in positive characteristic almost nothing is known. Instead of studying these quadratic forms at the archimedean place we will study them at p-adic places. It turns out that this question is more tractable\, thanks to p-adic Hodge Theory. Moreover\, using classical product formulas on quadratic forms\, the p-adic result will give non-trivial informations on the archimedean place. For instance\, we will prove the original conjecture for abelian fourfolds.
URL:https://crc326gaus.de/event/the-standard-conjecture-of-hodge-type-for-abelian-fourfolds/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230120T133000
DTEND;TZID=Europe/Berlin:20230120T150000
DTSTAMP:20260601T005448
CREATED:20221214T125948Z
LAST-MODIFIED:20221214T125948Z
UID:4627-1674221400-1674226800@crc326gaus.de
SUMMARY:Integral p-adic cohomology for open and singular varieties
DESCRIPTION:Veronika Ertl (Universität Regensburg) \nAbstract: In this talk I will explain a joint result with Johannes Sprang and Atsushi Shiho.\nUnder certain conditions of resolutions of singularities in positive characteristic\,\nwe construct a “good” integral p-adic cohomology theory for open and singular varieties\,\nby using a version of Voevodsky’s h-topology.\nI will explain the construction and clarify in which sense our cohomology is a “good” p-adic cohomology theory.\nI will also touch on the question why a similar approach does not work in full generality without resolutions of singularities.
URL:https://crc326gaus.de/event/integral-p-adic-cohomology-for-open-and-singular-varieties-2/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230124T160000
DTEND;TZID=Europe/Berlin:20230124T170000
DTSTAMP:20260601T005448
CREATED:20221108T131957Z
LAST-MODIFIED:20230113T083616Z
UID:4212-1674576000-1674579600@crc326gaus.de
SUMMARY:Slope of Siegel modular forms: some geometric applications
DESCRIPTION:International Seminar on Automorphic Forms \nWe study the slope of modular forms on the Siegel space. We will recover known divisors of  minimal slope for $g\leq5$ and we discuss the Kodaira dimension of the moduli space of principally polarized abelian varieties $A_g$ (and eventually of the generalized Kuga’s varieties). Moreover we illustrate the cone of moving divisors on $A_g$. Partly motivated by the generalized Rankin-Cohen bracket\, we construct a non-linear holomorphic differential operator that sends Siegel modular forms to Siegel cusp forms\, and we apply it to produce new modular forms. Our construction recovers the known divisors of minimal moving slope on $A_g$ for $g\leq5$. \nRiccardo Salvati Manni (Sapienza University of Rome) \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-9/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230127T133000
DTEND;TZID=Europe/Berlin:20230127T150000
DTSTAMP:20260601T005448
CREATED:20230118T155149Z
LAST-MODIFIED:20230124T142517Z
UID:4758-1674826200-1674831600@crc326gaus.de
SUMMARY:Automorphisms of categories of schemes
DESCRIPTION:Remy van Dobben de Bruyn (Universität Utrecht) \nAbstract: Given two schemes S and S’\, we show that any equivalence between Sch/S and Sch/S’ comes from a unique isomorphism between S and S’. In particular\, the category of schemes does not have any nontrivial automorphisms. This eliminates all Noetherian and finite type hypotheses from a result of Mochizuki\, and answers a series of questions of Brandenburg. The methods are analogous to those in anabelian geometry (but easier)\, and this talk also serves as an introduction to those ideas for non-experts. \n 
URL:https://crc326gaus.de/event/automorphisms-of-categories-of-schemes/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Christian Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230127T153000
DTEND;TZID=Europe/Berlin:20230127T170000
DTSTAMP:20260601T005448
CREATED:20230124T110110Z
LAST-MODIFIED:20230124T114322Z
UID:4781-1674833400-1674838800@crc326gaus.de
SUMMARY:Motives of moduli of bundles on curves
DESCRIPTION:Seminar Arithmetic Geometry \nSimon Pepin Lehalleur (Radboud-Universiteit Nijmegen) \nAbstract: (Joint with Victoria Hoskins\, Nijmegen) Moduli spaces and stacks of bundles on smooth projective curves are basic objects of algebraic geometry and part of the geometric set-up of the Langlands program for function fields. Their cohomology is well understood in some ways and still very mysterious in others. After some recollections on Voevodsky\nmotives\, I will present several results about the motives of the moduli stack of vector bundles and the moduli spaces of semistable Higgs bundles\, expressing them in terms of the motives of powers of the base curve. I will then explain how this can combined with constructions of Maulik-Shen to prove a motivic version of the “topological mirror symmetry” connecting moduli spaces of SL_n and PGL_n-Higgs bundles. \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime) \n 
URL:https://crc326gaus.de/event/motives-of-moduli-of-bundles-on-curves/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230131T160000
DTEND;TZID=Europe/Berlin:20230131T170000
DTSTAMP:20260601T005448
CREATED:20221108T132141Z
LAST-MODIFIED:20230124T083330Z
UID:4214-1675180800-1675184400@crc326gaus.de
SUMMARY:Continuity and value distribution of quantum modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nSandro Bettin (University of Genova) \nQuantum modular forms are functions f defined on the rationals whose period functions\, such as ψ(x):= f(x) – x-k f(-1/x) (for level 1)\, satisfy some continuity properties. In the case of k=0\, f can be interpreted as a Birkhoff sums associated with the Gauss map. In particular\, under mild hypotheses on G\, one can show convergence to a stable law. If k is non-zero\, the situation is rather different and we can show that mild conditions on psi imply that f itself has to exhibit some continuity property. Finally\, we discuss the convergence in distribution also in this case. This is a joint work with Sary Drappeau. \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-10/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230202T140000
DTEND;TZID=Europe/Berlin:20230202T160000
DTSTAMP:20260601T005448
CREATED:20221116T085643Z
LAST-MODIFIED:20230116T081424Z
UID:4326-1675346400-1675353600@crc326gaus.de
SUMMARY:Toroidal b-divisors and applications in differential and arithmetic geometry
DESCRIPTION:Ana Botero (Regensburg) \nWe define toroidal b-divisors on a quasi projective variety over a field. These can be seen as conical functions on a balanced polyhedral space. We show the existence of an intersection pairing for so called nef toroidal b-divisors\, which gives rise to a Monge-Ampére type measure on the polyhedral space. Moreover\, using the theory of Okounkov bodies\, we show that a Hilbert-Samuel type formula holds in this setting. We then show some applications of this theory. First\, we show some Chern-Weil type formulae for singular semi-positive metrics on line bundles. Then\, using the Hilbert-Samuel formula\, we compute asymptotic dimension formulae of spaces of automorphic forms on mixed Shimura varieties.
URL:https://crc326gaus.de/event/tba-30/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T133000
DTEND;TZID=Europe/Berlin:20230203T150000
DTSTAMP:20260601T005448
CREATED:20221214T130418Z
LAST-MODIFIED:20221214T130418Z
UID:4629-1675431000-1675436400@crc326gaus.de
SUMMARY:Integrality of smoothed p-adic Artin L-functions
DESCRIPTION:Bence Forrás (Universität Duisburg-Essen) \nAbstract: We introduce a smoothed version of the equivariant S-truncated p-adic Artin L-function for one-dimensional admissible p-adic Lie extensions of number fields. Integrality of this smoothed p-adic L-function\, conjectured by Greenberg\, has been verified for pro-p extensions (assuming the Equivariant Iwasawa Main Conjecture) as well as p-abelian extensions (unconditionally). Integrality in the general case is also expected to hold\, and is the subject of ongoing research.
URL:https://crc326gaus.de/event/integrality-of-smoothed-p-adic-artin-l-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T140000
DTEND;TZID=Europe/Berlin:20230203T150000
DTSTAMP:20260601T005448
CREATED:20221205T120737Z
LAST-MODIFIED:20230123T134644Z
UID:4484-1675432800-1675436400@crc326gaus.de
SUMMARY:Linear degenerate tropical flag matroids
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nVictoria Schleis (Universität Tübingen) \nAbstract: Grassmannians and flag varieties are important moduli spaces in algebraic geometry. Their linear degenerations arise in representation theory as they describe quiver representations and their irreducible modules. As linear degenerations of flag varieties are difficult to analyze algebraically\, we describe them in a combinatorial setting and further investigate their tropical counterparts. \nIn this talk\, I will introduce matroidal\, polyhedral and tropical analoga and descriptions of linear degenerate flags and their varieties obtained in joint work with Alessio Borzì. To this end\, we introduce and study morphisms of valuated matroids. Using techniques from matroid theory\, polyhedral geometry and linear tropical geometry\, we use the correspondences between the different descriptions to gain insight on the structure of linear degeneration. Further\, we analyze the structure of linear degenerate flag varieties in all three settings\, and provide some cover relations on the poset of degenerations. For small examples\, we relate the observations on cover relations to the flat irreducible locus studied in representation theory.
URL:https://crc326gaus.de/event/tba-32/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T153000
DTEND;TZID=Europe/Berlin:20230203T163000
DTSTAMP:20260601T005448
CREATED:20221205T120951Z
LAST-MODIFIED:20230125T132340Z
UID:4496-1675438200-1675441800@crc326gaus.de
SUMMARY:Polyhedral models for K-theory
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nLeonid Monin (Universität Leipzig) \nAbstract: One can associate a commutative\, graded algebra which satisfies Poincare duality to a homogeneous polynomial f on a vector space V. One particularly interesting example of this construction is when f is the volume polynomial on a suitable space of (virtual) polytopes. In this case the algebra A_f recovers cohomology rings of toric or flag varieties. \nIn my talk I will explain these results and present their recent generalizations. In particular\, I will explain how to associate an algebra with Gorenstein duality to any function g on a lattice L. In the case when g is the Ehrhart function on a lattice of integer (virtual) polytopes\, this construction recovers K-theory of toric and full flag varieties.
URL:https://crc326gaus.de/event/tba-33/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T164500
DTEND;TZID=Europe/Berlin:20230203T174500
DTSTAMP:20260601T005448
CREATED:20221205T121408Z
LAST-MODIFIED:20230124T140817Z
UID:4503-1675442700-1675446300@crc326gaus.de
SUMMARY:Universality for tropical maps
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nNavid Nabijou (University of Cambridge) \nAbstract: I will discuss recent work concerning maps from tropical curves to orthants. A “combinatorial type” of such map is the data of an abstract graph together with slope vectors along the edges. To each such combinatorial type there is an associated moduli space\, which parametrises metric enhancements of the graph compatible with the given slopes. This moduli space is a rational polyhedral cone\, giving rise to an affine toric variety.\nOur main result shows that every rational polyhedral cone appears as the moduli space associated to some combinatorial type of tropical map. This establishes universality (also known as Murphy’s law) for tropical maps. The proof is constructive and extremely concrete\, as I will demonstrate. Combined with insights from logarithmic geometry\, our result implies that every toric singularity appears as a virtual singularity on a moduli space of stable logarithmic maps. \n\n\nThis is joint work with Gabriel Corrigan and Dan Simms.
URL:https://crc326gaus.de/event/tba-34/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR