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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T110000
DTEND;TZID=Europe/Berlin:20250117T120000
DTSTAMP:20260425T044355
CREATED:20250115T094515Z
LAST-MODIFIED:20250115T094515Z
UID:10430-1737111600-1737115200@crc326gaus.de
SUMMARY:Cones of Noether--Lefschetz divisors
DESCRIPTION:Dr. Brandon Williams\, Universität Heidelberg
URL:https://crc326gaus.de/event/cones-of-noether-lefschetz-divisors/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 10\, INF 205\, Heidelberg\, 69124\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T143000
DTEND;TZID=Europe/Berlin:20250117T153000
DTSTAMP:20260425T044355
CREATED:20241113T130950Z
LAST-MODIFIED:20250120T093006Z
UID:9836-1737124200-1737127800@crc326gaus.de
SUMMARY:The tropical 1-fold Abel-Prym map
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2024/25) \nGiusi Capobianco (Università di Roma Tor Vergata)\n\n\n\nAbstract: The algebraic Abel-Prym map relates the geometry of a double cover of algebraic curves with their corresponding Prym varieties. Birkenhake and Lange proved that the map has degree 2 if and only if the cover curve is hyperelliptic.\n\nIn the talk I will present joint work with Yoav Len\, in which we investigate the 1-fold Abel-Prym map in the tropical setting and prove similar results. I will describe a new combinatorial construction of hyperelliptic double covers of metric graphs and prove that the tropical Abel-Prym map is a harmonic morphism of degree 2.  Furthermore\, we will see that the Jacobian of the image of this map is isomorphic\, as pptav\, to the Prym variety of the cover. When the double cover is not hyperelliptic however\, contrary to the algebraic result\, the tropical Abel-Prym map is almost never injective. I will provide counterexamples and discuss its image.
URL:https://crc326gaus.de/event/tba-129/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T153000
DTEND;TZID=Europe/Berlin:20250117T170000
DTSTAMP:20260425T044355
CREATED:20241016T113027Z
LAST-MODIFIED:20250113T101756Z
UID:9360-1737127800-1737133200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Jens Eberhardt (Gutenberg Universität Mainz): K-motives and Local Langlands \nIn this talk\, we construct a geometric realization of the category of representations of the affine Hecke algebra and p-adic reductive groups.\nFor this\, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks.\nThe affine Hecke algebra arises from the K-theory of the Steinberg stack\, and we explain how to “categorify” this using K-motives. \nLastly\, we discuss applications of K-motives to the local geometric Langlands program. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-19/
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:20250117T160000
DTEND;TZID=Europe/Berlin:20250117T170000
DTSTAMP:20260425T044355
CREATED:20241113T131043Z
LAST-MODIFIED:20250106T084617Z
UID:9838-1737129600-1737133200@crc326gaus.de
SUMMARY:Tree spaces in tropical geometry
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2024/25) \nShelby Cox (MPI Leipzig)\n\nAbstract: The space of phylogenetic trees on n leaves arises naturally in tropical geometry through the tropical Grassmannian trop Gr(2\,n). The space of equidistant trees on n leaves is the tropicalization of M_{0\,n}\, which is tropically convex. In this talk\, I will present recent work using tropical tree spaces for phylogenetic statistics and inference (joint with Curiel\, Sabol\, Talbut\, and Yoshida). I will also discuss a conjectural analogue of the space of equidistant trees for type C (joint with Igor Makhlin).
URL:https://crc326gaus.de/event/tba-130/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250121T160000
DTEND;TZID=Europe/Berlin:20250121T170000
DTSTAMP:20260425T044355
CREATED:20241016T115009Z
LAST-MODIFIED:20250113T074437Z
UID:9397-1737475200-1737478800@crc326gaus.de
SUMMARY:Kudla-Millson lift on the symmetric space of SL_N
DESCRIPTION:International Seminar on Automorphic Forms \nRomain Branchereau (McGill University): Kudla-Millson lift on the symmetric space of SL_N \nI will present a construction of a map from the homology in degree N-1 of locally symmetric spaces associated to SL_N\, to modular forms of weight N. The image of a cycle C by this map is a modular form whose Fourier coefficients are intersection numbers between C and a family of generalized modular symbols on the locally symmetric space. This map can be seen as a Kudla-Millson theta lift for the dual pair (SL_N\, SL_2) and also resembles a construction of Bergeron-Charollois-Garcia. \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-124/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250124T110000
DTEND;TZID=Europe/Berlin:20250124T120000
DTSTAMP:20260425T044355
CREATED:20241202T131319Z
LAST-MODIFIED:20250117T132140Z
UID:10048-1737716400-1737720000@crc326gaus.de
SUMMARY:Cycles on the moduli space of abelian varieties
DESCRIPTION:Prof. Dr. Rahul Pandharipande\, Department of Mathematics\, ETH Zürich \nI will explain developments in the study of cycles on the moduli space of abelian varieties with connections to the moduli space of curves\, the cohomology of the Lagrangian Grassmannian\, modular forms\, and the quantum cohomology of the Hilbert scheme of points of the plane.
URL:https://crc326gaus.de/event/tba-136/
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:20250124T133000
DTEND;TZID=Europe/Berlin:20250124T143000
DTSTAMP:20260425T044355
CREATED:20250110T134424Z
LAST-MODIFIED:20250110T134424Z
UID:10375-1737725400-1737729000@crc326gaus.de
SUMMARY:Abstract six-functor formalisms in Motivic Homotopy Theory
DESCRIPTION:Chirantan Chowdhury (TU Darmstadt) \nThe six functor formalism was formulated by Grothendieck to give a framework for the basic operations and duality statements for cohomology theories. In this talk\, I shall give an overview of abstract six-functor formalisms in the language of $\infty$-categories followed by its applications in the setting of Motivic Homotopy Theory. After introducing the setup\, we shall show how one can extend such formalism from smaller to larger categories (for e.g. : schemes to algebraic stacks). If time permits\, I would like to explain further extensions of such results to non-representable situations (joint work with Alessandro D’Angelo).
URL:https://crc326gaus.de/event/abstract-six-functor-formalisms-in-motivic-homotopy-theory/
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:20250124T153000
DTEND;TZID=Europe/Berlin:20250124T170000
DTSTAMP:20260425T044355
CREATED:20241016T113122Z
LAST-MODIFIED:20250108T091826Z
UID:9361-1737732600-1737738000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Maximilian Hauck (MPIM Bonn): Stacks in the p-adic Hodge theory of formal schemes \nI will briefly review the stacky approach to p-adic cohomology theories due to Bhatt–Lurie and Drinfeld using a new view on the filtered prismatisation recently found by Gardner–Madapusi. Then I will show how to use these tools to obtain a new proof of the Beilinson fibre square of Antieau–Mathew–Morrow–Nikolaus and a generalisation of a comparison theorem between rational arithmetic étale cohomology and crystalline cohomology of Colmez–Niziol. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-20/
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:20250128T160000
DTEND;TZID=Europe/Berlin:20250128T170000
DTSTAMP:20260425T044355
CREATED:20241016T115059Z
LAST-MODIFIED:20250120T090118Z
UID:9406-1738080000-1738083600@crc326gaus.de
SUMMARY:Uniform Non-vanishing of Hilbert Modular L-values
DESCRIPTION:International Seminar on Automorphic Forms \nLiyang Yang (Princeton University):  Uniform Non-vanishing of Hilbert Modular L-values \nLet ℱ(k\,q) be the set of normalized Hilbert newforms of weight k and prime level q. In this talk\, we will present a uniform positive proportion of #{π∈ℱ(k\,q):L(1/2\,π)≠0} as #ℱ(k\,q)→+∞. This is joint work with Zhining Wei and Shifan Zhao. \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-125/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T133000
DTEND;TZID=Europe/Berlin:20250131T143000
DTSTAMP:20260425T044355
CREATED:20250124T134541Z
LAST-MODIFIED:20250124T134541Z
UID:10496-1738330200-1738333800@crc326gaus.de
SUMMARY:Multivariable Lubin–Tate Fontaine equivalence
DESCRIPTION:Nataniel Marquis (IMJ Paris) \nIn 1991 J.-M. Fontaine proved an equivalence between continuons representations of $\mathcal{G}_{\mathbb{Q}_p}$ of finite type over $\mathbb{Z}_p$ and the category of étale $(\varphi\,\Gamma)$-modules over the ring of fonctions on a ghost circle. Recent developments in the mod $p$ Langlands program encouraged the search for similar equivalences for modules over multivariable rings. Work by Z\’abr\’adi and Carter-Kedlaya-Z\’abr\’adi fulfilled part of this expectation by establishing an equivalence between representations of finite products of $\mathcal{G}_{\mathbb{Q}_p}$ and multivariable cyclotomic $(\varphi\,\Gamma)$-modules. \nThe first goal of this talk is to sketch a proof of a Lubin-Tate variant for a $p$-adic local field $K$. Namely\, for a finite set $\Delta$\, we obtain an equivalence between continuous representations of $\prod_{\Delta} \mathcal{G}_K$ and a category called the étale $(\Phi_{\Delta\, q}\times \Gamma_{\Delta\,K\,\lt})$-modules over $\mathcal{O}_{\mathcal{E}_{K\,\Delta}}$ with finite projective dévissage. On the way to characterise the essential image of the functor $\mathbb{D}_{\Delta\,\lt}$\, we will explain which properties of finite type representations over $\mathbb{Z}_p$ are preserved by a Fontaine type functor. This will allow to give a theorem similar to the structure of finite type $\mathbb{Z}_p$-modules for the underlying $\mathcal{O}_{\mathcal{E}_{K\,\Delta}}$ appearing in the previous equivalence. Finally\, we will motivate how Lubin-Tate multivariable $(\varphi\,\Gamma)$-modules should be more useful than cyclotomic ones to obtain a Colmez functor for $\gl{n}{K}$.
URL:https://crc326gaus.de/event/multivariable-lubin-tate-fontaine-equivalence/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T140000
DTEND;TZID=Europe/Berlin:20250131T150000
DTSTAMP:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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:20260425T044355
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
END:VCALENDAR