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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230110T090000
DTEND;TZID=Europe/Berlin:20230110T100000
DTSTAMP:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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:20260531T204700
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
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