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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T140000
DTEND;TZID=Europe/Berlin:20250131T150000
DTSTAMP:20260405T151540
CREATED:20241202T131756Z
LAST-MODIFIED:20250124T133848Z
UID:10050-1738332000-1738335600@crc326gaus.de
SUMMARY:Tropical correspondence theorems for plane curve counts over arbitrary fields
DESCRIPTION:Jr.-Prof. Dr. Sabrina Pauli  (TU Darmstadt) \nWe study the problem of counting rational curves of fixed degree on a toric del Pezzo surface subject to point conditions. Over algebraically closed fields\, this count is invariant under the choice of point conditions. Over non-algebraically closed fields\, however\, the invariance fails. For real numbers\, Welschinger’s groundbreaking work introduced a signed count of real curves that restores invariance. \nBuilding on this\, Levine and Kass-Levine-Solomon-Wickelgren have developed curve counts over arbitrary fields that not only generalize Welschinger’s signed counts and classical counts over algebraically closed fields\, but also encode much richer arithmetic information. \nIn this talk I will survey these different approaches to counting rational curves with point conditions and discuss a recent joint result with A. Jaramillo Puentes\, H. Markwig\, and F. Röhrle. We establish a tropical correspondence theorem for curve counts over arbitrary fields\, identifying the count of algebraic curves with point conditions with a weighted count of their tropical counterparts with point conditions. The latter are combinatorial objects and there are several purely combinatorial methods to find all tropical curves with point conditions. \n 
URL:https://crc326gaus.de/event/tba-137/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T153000
DTEND;TZID=Europe/Berlin:20250131T170000
DTSTAMP:20260405T151540
CREATED:20241016T113218Z
LAST-MODIFIED:20250123T135133Z
UID:9362-1738337400-1738342800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Paul Siemon (TU Darmstadt): Stacks of parabolic vector bundles and Katz’s middle convolution algorithm\nI will discuss the geometry of the cuspidal locus inside stacks of parabolic vector bundles occurring in the tamely ramified geometric Langlands program. I will focus on the example of the stack of rank 2 bundles on the projective line with ramification at four points. Finally\, I will outline how the considerations in this example could extend to other situations using Katz’s middle convolution algorithm. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-21/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250204T160000
DTEND;TZID=Europe/Berlin:20250204T170000
DTSTAMP:20260405T151540
CREATED:20241016T114840Z
LAST-MODIFIED:20250123T082958Z
UID:9395-1738684800-1738688400@crc326gaus.de
SUMMARY:Lifting of Maass forms to O(1\,8n+1) and applications to the sup-norm problem
DESCRIPTION:International Seminar on Automorphic Forms \nAmeya Pitale (University of Oklahoma): Lifting of Maass forms to O(1\,8n+1) and applications to the sup-norm problem \nIn a joint paper with Yingkun Li and Hiroaki Narita\, we had constructed liftings from Maass forms with respect to SL_2(Z) to Maass forms on O(1\,8n+1)\, which violated the Generalized Ramanujan conjecture. These were constructed via Borcherds theta lifts and we were able to give explicit formulas for their Fourier coefficients. In a recent joint work with Simon Marshall and Hiroaki Narita\, we first computed the Petersson inner product of the lift using the Rallis inner product formula. This essentially involves an archimedean integral computation. These are usually very complicated and intractable\, but in this case we are able to get an exact formula for the Petersson norm. Explicit formulas for the Fourier coefficients and Petersson norm are the essential ingredients of one of the approaches to obtain sup-norm bounds on these Maass forms. Investigations regarding sup-norm bounds for modular forms in the GL(2) case has been recently a very active area of research. Using the method mentioned above\, as well as a pre-trace formula approach\, we obtain the first sup-norm bounds results for these orthogonal groups. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-122/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250206T141500
DTEND;TZID=Europe/Berlin:20250206T151500
DTSTAMP:20260405T151540
CREATED:20241126T121251Z
LAST-MODIFIED:20250128T081437Z
UID:10016-1738851300-1738854900@crc326gaus.de
SUMMARY:Pro-étale Q_p-cohomology of rigid analytic spaces
DESCRIPTION:Arthur-César Le Bras (Strasbourg) \nAbstract: The pro-étale Q_p-cohomology of rigid analytic spaces exhibits surprising features. I would like to explain a joint work with Johannes Anschütz and Lucas Mann which provides a conceptual explanation for these phenomena.
URL:https://crc326gaus.de/event/tba-135/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250207T143000
DTEND;TZID=Europe/Berlin:20250207T153000
DTSTAMP:20260405T151540
CREATED:20241118T102748Z
LAST-MODIFIED:20250129T115553Z
UID:9876-1738938600-1738942200@crc326gaus.de
SUMMARY:Regular subdivisions and bounds on initial ideals
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2024/25) \nGeorge Balla (TU Berlin)\nAbstract: We extend two known constructions that relate regular subdivisions to initial degenerations of projective toric varieties and Grassmannians. We associate a point configuration A with any homogeneous ideal I. We obtain upper and lower bounds on each initial ideal of I in terms of regular subdivisions of A. We also investigate when these bounds are exact\, for example\, the lower bound is exact for every initial ideal of the Plücker ideal I(2\,n) with respect to points in the tropicalization. This talk is based on joint work with Dan Corey\, Igor Makhlin\, and Victoria Schleis.
URL:https://crc326gaus.de/event/tba-132/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250207T153000
DTEND;TZID=Europe/Berlin:20250207T170000
DTSTAMP:20260405T151540
CREATED:20241016T113324Z
LAST-MODIFIED:20250114T090123Z
UID:9363-1738942200-1738947600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Milton Lin (Johns Hopkins University): Geometric Casselman-Shalika in mixed characteristic \nI will present joint work with Ashwin Iyengar and Konrad Zou\, where we proved a geometric analog of the (local) Casselman-Shalika formula for split connected reductive groups over mixed characteristic local fields. This formula captures properties of Fourier coefficients of automorphic functions that are fundamental to the Langlands correspondence. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-22/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250207T160000
DTEND;TZID=Europe/Berlin:20250207T170000
DTSTAMP:20260405T151540
CREATED:20241118T102640Z
LAST-MODIFIED:20250129T112352Z
UID:9874-1738944000-1738947600@crc326gaus.de
SUMMARY:Moduli spaces of twisted maps to smooth pairs
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2024/25) \nRobert Crumplin (Universität Heidelberg)\n\nAbstract: The question of counting maps from marked curves with fixed tangency conditions to a divisor in the target has been studied extensively over the past 15 years. One way of formulating these enumerative problems is via twisted maps to a root stack. I will describe the geometry of moduli spaces of twisted maps using tropical techniques\, in particular giving new understanding to universal structural results of orbifold Gromov–Witten invariants. If time permits\, I will talk about upcoming work with Sam Johnston which relates these moduli spaces to their logarithmic counterparts and provides a splitting of the virtual class in terms of the aforementioned tropical data.
URL:https://crc326gaus.de/event/tba-131/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250211T160000
DTEND;TZID=Europe/Berlin:20250211T170000
DTSTAMP:20260405T151540
CREATED:20250205T130445Z
LAST-MODIFIED:20250205T130445Z
UID:10564-1739289600-1739293200@crc326gaus.de
SUMMARY:Linking numbers and non-holomorphic Siegel modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nMads Christensen (UCL):Linking numbers and non-holomorphic Siegel modular forms \nIn an arithmetic hyperbolic 3-manifold there is an abundance of naturally defined closed geodesics. I will present a result which relates linking number invariants of these geodesics to the Fourier coefficients of certain non-holomorphic Siegel modular forms of genus 2. . \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/linking-numbers-and-non-holomorphic-siegel-modular-forms/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250424T140000
DTEND;TZID=Europe/Berlin:20250424T160000
DTSTAMP:20260405T151540
CREATED:20250402T124958Z
LAST-MODIFIED:20250424T112821Z
UID:10909-1745503200-1745510400@crc326gaus.de
SUMMARY:Holomorphic triple products
DESCRIPTION:Jonas Stelzig (LMU München / JGU Mainz) \nAbstract: I will introduce\, and survey the context of\, ABC triple Massey products\, a holomorphic analogue of ordinary triple Massey products for complex manifolds. Then\, I will discuss the (non)vanishing of these operations in situations of geometric interest\, including toric\, compact homogeneous Kähler\, and Calabi Yau manifolds.
URL:https://crc326gaus.de/event/jonas-stelzig-lmu-munchen-jgu-mainz/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250425T133000
DTEND;TZID=Europe/Berlin:20250425T143000
DTSTAMP:20260405T151540
CREATED:20250320T114302Z
LAST-MODIFIED:20250320T114302Z
UID:10728-1745587800-1745591400@crc326gaus.de
SUMMARY:From p-adic Hodge theory to motivic cohomology and back
DESCRIPTION:Tess Bouis (Universität Regensburg) \nAbstract: The initial goal of p-adic Hodge theory\, as formulated by the foundational conjectures of Fontaine in the 1980s\, is to compare the different p-adic cohomology theories one can associate to schemes of mixed characteristic (0\,p). If Fontaine’s conjectures have now been solved by the work of many people\, the recent development of prismatic cohomology has shed new light on integral aspects of this theory. In this talk\, I want to explain how one can use these recent advances in p-adic Hodge theory to construct a new theory of motivic cohomology for general (qcqs) schemes. This theory generalises the recent construction of Elmanto-Morrow over a field to mixed characteristic\, and allows us to give a simplified motivic approach to certain classical results in p-adic Hodge theory. This is part of a joint work in progress with Arnab Kundu.
URL:https://crc326gaus.de/event/from-p-adic-hodge-theory-to-motivic-cohomology-and-back/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250425T153000
DTEND;TZID=Europe/Berlin:20250425T170000
DTSTAMP:20260405T151540
CREATED:20250407T074322Z
LAST-MODIFIED:20250408T065958Z
UID:10935-1745595000-1745600400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Zhixiang Wu (Universität Münster): Bernstein-Zelevinsky duality for locally analytic principal series representations \nBernstein-Zelevinsky duality is classically a duality on the derived category of smooth representations of a p-adic Lie group. In this talk\, we will consider the Bernstein-Zelevinsky duality for locally analytic representations of p-adic Lie groups\, and compute explicitly the duality for principal series representations. I will also explain the relationship of this duality with the duality of coherent sheaves on the (patched) eigenvariety. This is joint work with Matthias Strauch. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-24/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250429T160000
DTEND;TZID=Europe/Berlin:20250429T170000
DTSTAMP:20260405T151540
CREATED:20250416T090518Z
LAST-MODIFIED:20250424T102200Z
UID:11080-1745942400-1745946000@crc326gaus.de
SUMMARY:Algebraic proof of modular form inequalities for optimal sphere packings
DESCRIPTION:International Seminar on Automorphic Forms \nSeewoo Lee (UC Berkeley) \nhttps://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/tba-139/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250502T153000
DTEND;TZID=Europe/Berlin:20250502T170000
DTSTAMP:20260405T151540
CREATED:20250402T112950Z
LAST-MODIFIED:20250402T114256Z
UID:10903-1746199800-1746205200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Christian Dahlhausen  (Universität Heidelberg): Duality in (perfect) motivic homotopy theory \nThis talk treats a conjectured duality on modules over\nK-theory in the stable homotopy category of a scheme whose dualising\nobject is given by G-theory. I shall explain a proof of the conjecture\nfor quasi-excellent schemes in characteristic zero. In order to approach\nthe conjecture in positive characteristic\, I sketch the construction of\na “perfect motivic homotopy category” and compare it to the classical\nhomotopy category. For this perfect category\, I shall sketch the proof\nof an analogous version of the duality conjecture. This is joint work\nwith Denis-Charles Cisinski\, Jeroen Hekking\, and Storm Wolters. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-23/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250506T160000
DTEND;TZID=Europe/Berlin:20250506T170000
DTSTAMP:20260405T151540
CREATED:20250416T090743Z
LAST-MODIFIED:20250506T091439Z
UID:11085-1746547200-1746550800@crc326gaus.de
SUMMARY:The Shintani–Faddeev modular cocycle: Stark units from q-Pochhammer ratios
DESCRIPTION:International Seminar on Automorphic Forms \nZhiyuan Li (SCMS\, Fudan University) \nThe Shintani–Faddeev modular cocycle: Stark units from q-Pochhammer ratios \nWe give a new interpretation of Stark units associated to real quadratic fields as special “real multiplication values” of a modular cocycle described by complex meromorphic continuation of a simple infinite product. The cocycle encodes the modular transformations of the infinite q-Pochhammer symbol and is related to the Shintani–Barnes double sine funciton and the Faddeev quantum dilogarithm. As a corollary\, we describe some intriguing features of the asymptotic behavior of the infinite q-Pochhammer symbol as the modular parameter approaches a real quadratic number. \nhttps://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/tba-copy-5/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250508T141500
DTEND;TZID=Europe/Berlin:20250508T151500
DTSTAMP:20260405T151540
CREATED:20250423T095325Z
LAST-MODIFIED:20250503T124627Z
UID:11134-1746713700-1746717300@crc326gaus.de
SUMMARY:Duality in (perfect) motivic homotopy theory
DESCRIPTION:Christian Dahlhausen (Uni Heidelberg) \nAbstract: This talk treats a conjectured duality on modules over K-theory in the stable homotopy category of a scheme whose dualising object is given by G-theory. I shall explain a proof of the conjecture for quasi-excellent schemes in characteristic zero. In order to approach the conjecture in positive characteristic\, I sketch the construction of a “perfect motivic homotopy category” and compare it to the classical homotopy category. For this perfect category\, I shall sketch the proof of an analogous version of the duality conjecture. This is joint work with Denis-Charles Cisinski\, Jeroen Hekking\, and Storm Wolters.
URL:https://crc326gaus.de/event/duality-in-perfect-motivic-homotopy-theory/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Tom Bachmann":MAILTO:tom.bachmann@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250509T133000
DTEND;TZID=Europe/Berlin:20250509T143000
DTSTAMP:20260405T151540
CREATED:20250429T074250Z
LAST-MODIFIED:20250505T124728Z
UID:11177-1746797400-1746801000@crc326gaus.de
SUMMARY:Refined Chabauty–Kim computations for the thrice-punctured line over Z[1/6]
DESCRIPTION:Martin Lüdtke (MPIM Bonn) \nAbstract: If X is a curve of genus at least 2 defined over the rational numbers\, we know by Faltings’s Theorem that the set X(Q) of rational points is finite but we don’t know how to systematically compute this set. In 2005\, Minhyong Kim proposed a new framework for studying rational (or S-integral) points on curves\, called the Chabauty–Kim method. It aims to produce p-adic analytic functions on X(Q_p) containing the rational points X(Q) in their zero locus. We apply this method to solve the S-unit equation for S={2\,3} and computationally verify Kim’s Conjecture for many choices of the auxiliary prime p.
URL:https://crc326gaus.de/event/refined-chabauty-kim-computations-for-the-thrice-punctured-line-over-z1-6/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Marius Leonhardt":MAILTO:mleonhardt@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250509T153000
DTEND;TZID=Europe/Berlin:20250509T170000
DTSTAMP:20260405T151540
CREATED:20250409T121252Z
LAST-MODIFIED:20250409T121252Z
UID:11010-1746804600-1746810000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Ferdinand Wagner  (Universität Bonn): q-Hodge filtrations\, Habiro cohomology\, and THH over ku \nThe recent work of Garoufalidis\, Scholze\, Wheeler\, and Zagier on the “Habiro ring of a number field” has sparked the question whether there exists a cohomology theory for smooth schemes over Z with coefficients in the Habiro ring\, the completion of Z[q] at all roots of unity\, and with specialisations to étale and de Rham cohomology. In this talk I’ll explain how this question is intimately related to the question whether the Hodge filtration on de Rham cohomology can be q-deformed to a filtration on q-de Rham cohomology. While such a q-deformed filtration (provably) doesn’t exist in general\, I’ll explain how to construct a filtration (along with the “Habiro cohomology”) in many interesting cases\, using topological Hochschild homology over the complex K-theory spectrum ku. I’ll also explain how a refined version of THH can be used to obtain a completely functorial construction for varieties over Q. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-25/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250513T100000
DTEND;TZID=Europe/Berlin:20250513T110000
DTSTAMP:20260405T151540
CREATED:20250416T090848Z
LAST-MODIFIED:20250513T081214Z
UID:11088-1747130400-1747134000@crc326gaus.de
SUMMARY:Theta series and tautological cycles on orthogonal Shimura varieties
DESCRIPTION:International Seminar on Automorphic Forms \nZhiyuan Li (Fudan university) \nTheta series and tautological cycles on orthogonal Shimura varieties \nIn this talk\, I will explore the fascinating interplay between lattice theory and vector- valued modular forms via theta series\, presenting an elegant connection that bridges these areas. I will discuss its applications in the study of cycle theory on orthogonal Shimura varieties. One of our findings reveal that the Picard group of the Baily-Borel compactification of a broad class of Shimura varieties is isomorphic to ℤ. I will also explain the geometric motivation of this project. Most results are joint work with Huang\, Müller and Ye. \nhttps://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/tba-141/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250515T141500
DTEND;TZID=Europe/Berlin:20250515T151500
DTSTAMP:20260405T151540
CREATED:20250128T082207Z
LAST-MODIFIED:20250508T094212Z
UID:10507-1747318500-1747322100@crc326gaus.de
SUMMARY:On Voevodsky's reconstruction theorem
DESCRIPTION:Sebastian Wolf (Regensburg) \nIn 1990\, Voevodsky proved a conjecture of Grothendieck\, that morphisms of normal schemes of finite type over the rational numbers can be reconstructed from the induced morphism of étale topoi. The goal of this talk is to give an outline of Voevodsky’s proof and explain a generalization of his result: Taking the étale topos is a fully faithful functor from finite type schemes over any finitely generated field to topoi over such a field after inverting univeral homeomorphisms. This is joint work with Magnus Carlson and Peter Haine.
URL:https://crc326gaus.de/event/tba-114/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250516T153000
DTEND;TZID=Europe/Berlin:20250516T170000
DTSTAMP:20260405T151540
CREATED:20250414T115513Z
LAST-MODIFIED:20250414T115513Z
UID:11040-1747409400-1747414800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Simon Riche  (Université Clermont Auvergne): Semiinfinite sheaves on affine flag varieties \nWe will explain how\, generalizing a construction of Gaitsgory\, one can define and study a category of sheaves on the affine flag variety of a complex reductive group that “models” sheaves on the corresponding semiinfinite flag variety\, with coefficients in a field of positive characteristic\, and which should provide a geometric model for a category of representations of the Langlands dual Lie algebra over the given coefficient field. As an application\, we use this construction to compute the dimensions of stalks of the intersection cohomology complex on Drinfeld’s compactification\, with coefficients in any field of good characteristic. This is joint work with Pramod Achar and Gurbir Dhillon. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-26/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250522T141500
DTEND;TZID=Europe/Berlin:20250522T151500
DTSTAMP:20260405T151540
CREATED:20250305T094423Z
LAST-MODIFIED:20250516T072330Z
UID:10638-1747923300-1747926900@crc326gaus.de
SUMMARY:Integral Nori Motives
DESCRIPTION:Swann Tubach (ENS Lyon) \nThe classical theory of Nori motives provides a tensor abelian category of motives over a field k of characteristic zero\, with a nice universal property and realisation functors interpolating various cohomology theories. We will construct a commutative algebra N_X in the category of étale motivic sheaves over any scheme X of characteristic zero\, compatible with base change\, such that the category DNgm(X) of geometric objects in modules over N_X has natural t-structures\, the 6 operations\, and conservative realisation functors. Over a field we recover the derived category of Nori motives\, and with rational coefficients we recover the derived category of Ivorra-Morel’s category of perverse Nori motives. This provides abelian categories of motivic sheaves with integral coefficients. This is joint work with Raphaël Ruimy.
URL:https://crc326gaus.de/event/tba-134/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250523T133000
DTEND;TZID=Europe/Berlin:20250523T143000
DTSTAMP:20260405T151540
CREATED:20250320T114638Z
LAST-MODIFIED:20250320T114638Z
UID:10731-1748007000-1748010600@crc326gaus.de
SUMMARY:Berthelot's conjecture via p-adic homotopy theory
DESCRIPTION:Alberto Vezzani (Universitá degli Studi di Milano) \nAbstract: By drawing parallels to classical work by Monsky-Washnitzer\, Elkik\, Arabia and others\, we motivate the study of (non-archimedean) motivic homotopy theory by showing that it can be used to define/re-define rational p-adic cohomology theories and prove new results about them. For example\, we show how to define relative rigid cohomology and deduce finiteness properties for it (joint work with V. Ertl)\, solving a version of a conjecture by Berthelot for coefficients of geometric origin.
URL:https://crc326gaus.de/event/berthelots-conjecture-via-p-adic-homotopy-theory/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250527T160000
DTEND;TZID=Europe/Berlin:20250527T170000
DTSTAMP:20260405T151540
CREATED:20250416T090938Z
LAST-MODIFIED:20250522T080806Z
UID:11090-1748361600-1748365200@crc326gaus.de
SUMMARY:Rigid cocycles for SL(n) and their values at special points
DESCRIPTION:International Seminar on Automorphic Forms \nMarti Roset Julia (McGill University) Rigid cocycles for SL(n) and their values at special points \nThe theory of complex multiplication implies that the values of modular functions at CM points belong to abelian extensions of imaginary quadratic fields. In this talk\, we propose a conjectural extension of this phenomenon to the setting of totally real fields. Generalizing the work of Darmon\, Pozzi\, and Vonk\, we construct rigid cocycles for SL(n)\, which play the role of modular functions\, and define their values at points associated with totally real fields. The construction of these cocycles originates from a topological source: the Eisenstein class of a torus bundle. This is ongoing joint work with Peter Xu. \nhttps://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/tba-142/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250530T153000
DTEND;TZID=Europe/Berlin:20250530T170000
DTSTAMP:20260405T151540
CREATED:20250507T124915Z
LAST-MODIFIED:20250507T124915Z
UID:11249-1748619000-1748624400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Guido Bosco (MPI Bonn): On the p-adic monodromy theorem \nI will present a new geometric perspective on the p-adic monodromy theorem of André\, Kedlaya\, and Mebkhout\, which is based on the study of vector bundles on the analytic de Rham stack of the Fargues–Fontaine curve. I will then outline some applications to the p-adic Hodge theory of rigid-analytic varieties. \nThis is based on joint work in progress with Anschütz\, Le Bras\, and Rodriguez Camargo. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-27/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250603T160000
DTEND;TZID=Europe/Berlin:20250603T170000
DTSTAMP:20260405T151540
CREATED:20250416T091035Z
LAST-MODIFIED:20250526T091519Z
UID:11092-1748966400-1748970000@crc326gaus.de
SUMMARY:Construction of Gaussian test functions
DESCRIPTION:International Seminar on Automorphic Forms \nAndreas Mihatsch (Zhejiang University) \nConstruction of Gaussian test functions \nThe relative trace formula comparison of Jacquet–Rallis relates two trace formulas: one for general linear groups and one for unitary groups. In this context\, one considers the transfer of test functions between the two sides. At the archimedean place\, the Gaussian for the positive definite unitary group provides a distinguished test function that often comes up in arithmetic settings. Accordingly\, it is of interest to understand its transfers to the general linear side. In my talk\, I will explain a direct construction of such transfers which is based on Kudla–Millson theory. This is joint work with Siddarth Sankaran and Tonghai Yang. \nhttps://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/tba-143/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250610T160000
DTEND;TZID=Europe/Berlin:20250610T170000
DTSTAMP:20260405T151540
CREATED:20250506T091637Z
LAST-MODIFIED:20250515T110157Z
UID:11246-1749571200-1749574800@crc326gaus.de
SUMMARY:The arithmetic of Fourier coefficients of Gan-Gurevich lifts on G2
DESCRIPTION:International Seminar on Automorphic Forms \nNaomi Sweeting (Princeton University) \nThe arithmetic of Fourier coefficients of Gan-Gurevich lifts on G2 \nThe arithmetic of Fourier coefficients of Gan-Gurevich lifts on G2 Abstract: Modular forms on exceptional groups carry a surprisingly rich arithmetic structure. For instance\, modular forms on G2 have a theory of Fourier expansions\, in which the coefficients are indexed by cubic rings (e.g. rings of integers in cubic field extensions of Q). This talk is about the Gan-Gurevich lifts\, which are modular forms on G2 arising by Langlands functoriality from classical modular forms on PGL2. Gross conjectured in 2000 that the norm squared of the Fourier coefficients of a Gan-Gurevich lift encode the cubic-twisted L values of the corresponding classical cusp form (echoing Waldspurger’s work on Fourier coefficients of half-integral weight modular forms). We prove this conjecture for a large class of Gan-Gurevich lifts coming from CM forms\, thus giving the first complete examples of Gross’s conjecture. Based on joint work in progress with Petar Bakic\, Alex Horawa\, and Siyan Daniel Li-Huerta. \nhttps://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/tba-140/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250612T141500
DTEND;TZID=Europe/Berlin:20250612T151500
DTSTAMP:20260405T151540
CREATED:20250602T091757Z
LAST-MODIFIED:20250602T094433Z
UID:11403-1749737700-1749741300@crc326gaus.de
SUMMARY:Critical values of Hecke L-funktions
DESCRIPTION:Han-Ung Kufner (Universität Regensburg) \nA conjecture of Deligne from 1977 relates the critical values of a motivic\nL-function with certain periods of the motive. The goal of this talk is to\nexplain Deligne’s conjecture and to discuss a proof in the case of Hecke\nL-functions. This generalizes a result of Blasius for Hecke characters of CMfields.\nFor the proof we use the recently constructed Eisenstein-Kronecker\nclasses of Kings-Sprang and combine them with ideas from Blasius’ proof.\n1
URL:https://crc326gaus.de/event/critical-values-of-hecke-l-funktions/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250613T133000
DTEND;TZID=Europe/Berlin:20250613T143000
DTSTAMP:20260405T151540
CREATED:20250522T071733Z
LAST-MODIFIED:20250522T071733Z
UID:11342-1749821400-1749825000@crc326gaus.de
SUMMARY:Quantitative level lowering for modular forms
DESCRIPTION:Quantitative level lowering for modular forms \nMohamed Moakher (University of Pittsburgh) \nGiven a Hilbert modular form f of weight two over a totally real field F\, we can associate to it a finite module Phi(f) known as the congruence module for f\, which measures the congruences that f satisfies with other forms. When f is transferred to a quaternionic modular form f_D over a quaternion algebra D via the Jacquet-Langlands correspondence\, we can similarly define a congruence module Phi(f_D) for f_D. Pollack and Weston proposed a quantitative relationship between the sizes of Phi(f) and Phi(f_D)\, expressed in terms of invariants associated to f and D. In this talk\, I will outline the ideas underlying the proof of this relationship. The approach combines a method of Ribet and Takahashi with new techniques introduced by Böckle\, Khare\, and Manning.
URL:https://crc326gaus.de/event/quantitative-level-lowering-for-modular-forms/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Andrea Conti":MAILTO:andrea.conti@iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250613T153000
DTEND;TZID=Europe/Berlin:20250613T170000
DTSTAMP:20260405T151540
CREATED:20250606T082248Z
LAST-MODIFIED:20250606T082603Z
UID:11428-1749828600-1749834000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Emanuel Reinecke (IHES): Poincare duality for proper morphisms in rigid geometry \nWhile the Z/p-etale cohomology of rigid-analytic varieties is in general hard to control\, it becomes more tractable when the varieties are proper. In my talk\, I will explain a relative Poincare duality statement for etale cohomology with finite coefficients which applies to any proper morphism of rigid-analytic varieties over nonarchimedean fields of mixed characteristic\, confirming an expectation of Bhatt-Hansen. A key ingredient in the proof will be a construction of trace maps for proper morphisms. Joint work with Shizhang Li and Bogdan Zavyalov. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-28/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250620T153000
DTEND;TZID=Europe/Berlin:20250620T170000
DTSTAMP:20260405T151540
CREATED:20250612T122819Z
LAST-MODIFIED:20250612T122819Z
UID:11437-1750433400-1750438800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Thiago Landim (IMJ): Weights and motives on stacks \nThe existence of a motivic t-structure is an old problem in the center of many conjectures related with algebraic cycles. Inspired by Deligne\, Bondarko defined a dual notion\, now called weight structure\, and proved Beilinson motives (and later integral cdh-motives) on nice schemes admit weight structures. In this talks\, we are going to prove the category of K-motives (modules of genuine K-theory inside motivic spectra) on tame quotient stacks\, as defined by Hoyois\, admits a well-behaved category of geometric motives and prove the existence of bounded weight structure on them. If time allows\, we are going to explain how this behaves better for Kan extended theories\, e.g. cdh-motives\, and how étale sheaves behaves even better. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-29/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
END:VCALENDAR