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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250527T160000
DTEND;TZID=Europe/Berlin:20250527T170000
DTSTAMP:20260409T110552
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:20260409T110553
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:20260409T110553
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:20260409T110553
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:20260409T110553
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:20260409T110553
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:20260409T110553
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:20260409T110553
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
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250627T133000
DTEND;TZID=Europe/Berlin:20250627T143000
DTSTAMP:20260409T110553
CREATED:20250617T074911Z
LAST-MODIFIED:20250617T085007Z
UID:11442-1751031000-1751034600@crc326gaus.de
SUMMARY:Bogomolov property for Galois representations with big local image
DESCRIPTION:Andrea Conti (Heidelberg) \nAn algebraic extension of the rational numbers is said to have the Bogomolov property if the absolute logarithmic Weil height of its non-torsion elements is uniformly bounded from below. Given a continuous representation $\rho$ of the absolute Galois group $G_{\mathbb Q}$ of $\mathbb Q$\, one can ask whether the field fixed by $\mathrm{ker}(\rho)$ has the Bogomolov property (in short\, we say that $\rho$ has (B)). In a joint work with Lea Terracini\, we prove that\, if $\rho\colon G_{\mathbb Q}\to\mathrm{GL}_N(\mathbb Z_p)$ maps an inertia subgroup at $p$ surjectively onto an open subgroup of $\mathrm{GL}_N(\mathbb Z_p)$\, then $\rho$ has (B). More generally\, we show that if the image of a decomposition group at $p$ is open in the image of $G_\Q$\, plus a certain condition on the center of the image is satisfied\, then $\rho$ has (B). In particular\, no assumption on the modularity of $\rho$ is needed\, contrary to previous work of Habegger and Amoroso—Terracini.
URL:https://crc326gaus.de/event/bogomolov-property-for-galois-representations-with-big-local-image/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250627T153000
DTEND;TZID=Europe/Berlin:20250627T170000
DTSTAMP:20260409T110553
CREATED:20250618T115458Z
LAST-MODIFIED:20250623T075831Z
UID:11446-1751038200-1751043600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Tianyi Feng (University Bonn): Metaplectic Satake with Ring Coefficients \nIn this talk we explain the statement and proof strategy of the geometric Satake equivalence for topological (aka metaplectic) coverings of reductive groups in DVR coefficients. This is joint work in progress with Yifei Zhao. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-copy-2/
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:20250703T090000
DTEND;TZID=Europe/Berlin:20250703T100000
DTSTAMP:20260409T110553
CREATED:20250508T094848Z
LAST-MODIFIED:20250701T114617Z
UID:11263-1751533200-1751536800@crc326gaus.de
SUMMARY:Equivariant aspects of Hochschild homology
DESCRIPTION:Zhouhang Mao (University of Amsterdam) \nAbstract: Many localizing invariants\, after being applied to schemes\, are equipped with a motivic filtration whose associated graded pieces are given by cohomology theories of schemes. In this talk\, we give an equivariant aspects of two localizing invariants proposed by Kaledin\, which correspond to non-Hodge-completed derived de Rham cohomology and de Rham–Witt complex respectively. Our description adapts to prismatic cohomology as well. If time permits\, we also give an unexpected application of these considerations to prismatic logarithm.
URL:https://crc326gaus.de/event/equivariant-aspects-of-hochschild-homology/
LOCATION:Mainz\, Poissonraum (04-220)\, Staudingerweg 9\, Rheinland-Pfalz - Mainz\, 55128\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250704T133000
DTEND;TZID=Europe/Berlin:20250704T143000
DTSTAMP:20260409T110553
CREATED:20250618T121516Z
LAST-MODIFIED:20250618T121516Z
UID:11449-1751635800-1751639400@crc326gaus.de
SUMMARY:Algebraic K-theory and the universal localising invariant
DESCRIPTION:Algebraic K-theory and the universal localising invariant \nChristoph Winges (Universität Regensburg) \nEssentially by construction\, the abelian group K_0 is the target of the universal rank function for various types of objects\, including finitely generated projective modules and perfect chain complexes. Over the last couple of decades\, it has become possible to formulate and prove a similar universal property for higher algebraic K-theory in the sense of Quillen and Waldhausen. A closer inspection of various localisation phenomena in algebraic K-theory leads to the notion of a localising invariant\, among which algebraic K-theory enjoys a similar universal property due to work of Blumberg\, Gepner and Tabuada. I will survey these results and\, as time allows\, discuss an alternative perspective on parts of this story that I obtained in recent joint work with Ramzi and Sosnilo.
URL:https://crc326gaus.de/event/algebraic-k-theory-and-the-universal-localising-invariant/
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:20250704T153000
DTEND;TZID=Europe/Berlin:20250704T170000
DTSTAMP:20260409T110553
CREATED:20250630T085506Z
LAST-MODIFIED:20250630T085506Z
UID:11467-1751643000-1751648400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Matteo Tamiozzo (Université Sorbonne Paris Nord): Towards semi-global plectic conjectures \nKnown results on the Birch and Swinnerton-Dyer conjecture for elliptic curves of analytic rank at most one over totally real fields rely on CM points on Shimura curves. After recalling this\, I will illustrate how an attempt to go beyond rank one leads to the plectic conjectures of Nekovář-Scholl for higher-dimensional quaternionic Shimura varieties. Finally\, I will present joint work in progress with Tony Feng and Mingjia Zhang aimed at proving a “semi-global” version of these conjectures. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-31/
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:20250711T133000
DTEND;TZID=Europe/Berlin:20250711T143000
DTSTAMP:20260409T110553
CREATED:20250702T085227Z
LAST-MODIFIED:20250702T085227Z
UID:11476-1752240600-1752244200@crc326gaus.de
SUMMARY:The kernel of the adjoint exponential in Anderson $t$-modules
DESCRIPTION:The kernel of the adjoint exponential in Anderson $t$-modules \nGiacomo H. Ferraro (Universität Heidelberg) \n\nGiven an algebraically closed complete valued field $K$ over $\mathbb{F}_q$\, an Anderson $t$-module of dimension $d$ is given by the topological $\mathbb{F}_q$-vector space $K^d$\, endowed with an $\mathbb{F}_q$-linear action $\phi_t=\sum_{i\geq0}T_i\tau^i\in M_{d\times d}(K)[\tau]$\, where $\tau:K^d\to K^d$ sends $(v_1\,\dots\,v_d)$ to $(v_1^q\,\dots\,v_d^q)$.\nIn analogy with complex abelian varieties\, there is an analytic map $\exp=\sum_{i\geq0}E_i\tau^i: K^d\to K^d$—which is not necessarily surjective—such that $\phi_t\exp=\exp T_0$. \nThe adjoint exponential\, defined as the series $\exp^*:=\sum_{i\geq0}\tau^{-i}E_i^T$\, determines a (non-analytic) continuous map $K^d\to K^d$. Using the factorization properties of $K[\![x]\!]$\, Poonen proved that there is a perfect duality of topological $\mathbb{F}_q$-vector spaces $\ker(\exp)\times\ker(\exp^*)\to\mathbb{F}_q$ under the condition $d=1$. \nIn this talk\, I explain that for an arbitrary \textit{abelian} Anderson $t$-module\, we have a collection of perfect pairings $\ker(\phi_{t^n})\times\ker(\phi^*_{t^n})\to\mathbb{F}_q$\, and that we can use them to obtain a canonical generating series $(F_\phi)_c\in M_{d\times d}(K)[\![\tau^{-1}\,\tau]\!]$ for all $c\in\mathbb{F}_q(\!(t^{-1})\!)/\mathbb{F}_q(t)$. The study of the properties of $F_\phi$ allows us to prove that\, if $\exp$ is surjective\, $\ker(\exp^*)$ is compact and isomorphic to the Pontryagin dual of $\ker(\exp)$. Moreover\, we deduce an alternative explicit description of the Hartl–Juschka pairing\, obtained by Gazda and Maurischat in a recent preprint.
URL:https://crc326gaus.de/event/the-kernel-of-the-adjoint-exponential-in-anderson-t-modules/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250718T133000
DTEND;TZID=Europe/Berlin:20250718T143000
DTSTAMP:20260409T110553
CREATED:20250701T093603Z
LAST-MODIFIED:20250701T093603Z
UID:11470-1752845400-1752849000@crc326gaus.de
SUMMARY:Der syntomische Logarithmus
DESCRIPTION:Der syntomische Logarithmus \nMatthias Flach (Caltech/USA) \nIn Gemeinschaftsarbeit mit A. Krause und B. Morin geben wir mit Hilfe von prismatischer Kohomologie eine neue Konstruktion der Bloch-Kato Logarithmusabbildung. Als Anwendung beweisen wir die Vermutung C_{EP} von Fontaine und Perrin-Riou für Tate-Motive über beliebigen lokalen Körpern der Charakteristik null.
URL:https://crc326gaus.de/event/der-syntomische-logarithmus/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250718T153000
DTEND;TZID=Europe/Berlin:20250718T170000
DTSTAMP:20260409T110553
CREATED:20250623T080023Z
LAST-MODIFIED:20250623T080023Z
UID:11463-1752852600-1752858000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Abhishek Oswal (University Freiburg): p-adic hyperbolicity of the moduli space of abelian varieties \nBy a theorem of Borel\, any holomorphic map from a complex\nalgebraic variety to the moduli space of abelian varieties (and more\ngenerally to an arithmetic variety) is in fact algebraic. A key input\nis to prove that any holomorphic map from a product of punctured disks\nto such an arithmetic variety does not have any essential\nsingularities. In this talk\, I’ll discuss a p-adic analogue of these\nresults. This is joint work with Ananth Shankar and Xinwen Zhu (with an\nappendix by Anand Patel). \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-30/
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:20250904T160000
DTEND;TZID=Europe/Berlin:20250904T170000
DTSTAMP:20260409T110553
CREATED:20251020T075530Z
LAST-MODIFIED:20251020T075530Z
UID:11987-1757001600-1757005200@crc326gaus.de
SUMMARY:tba
DESCRIPTION:International Seminar on Automorphic Forms \nZiqi Guo ( Peking University) tba \n  \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-144/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251017T133000
DTEND;TZID=Europe/Berlin:20251017T150000
DTSTAMP:20260409T110553
CREATED:20250916T124552Z
LAST-MODIFIED:20250916T124552Z
UID:11688-1760707800-1760713200@crc326gaus.de
SUMMARY:Solid Locally Analytic Representations in Mixed Characteristic
DESCRIPTION:Dr. Gal Porat (Einstein Institute of Mathematics\, Hebrew University of Jerusalem) \nAbstract:\nLocally analytic representations of p-adic Lie groups with Q_p coefficients are powerful tools in p-adic Hodge theory and the p-adic Langlands program. This perspective reveals important differential structures\, such as the Sen and Casimir operators.\nA few years ago\, Rodrigues Jacinto and Rodriguez Camargo developed a “solid” version of this theory using the language of condensed mathematics\, which provides more robust homological tools (comparison theorems\, spectral sequences…) for studying these representations.\nThis talk will present ongoing work that extends this solid theory to a much broader class of mixed characteristic coefficients\, such as F_p((X)) or Z_p[[X]]<p/x>\, as well as semilinear representations. I will conclude by exploring how these ideas relate to mixed characteristic phenomena in p-adic Hodge theory and the Langlands program.
URL:https://crc326gaus.de/event/solid-locally-analytic-representations-in-mixed-characteristic/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251024T133000
DTEND;TZID=Europe/Berlin:20251024T150000
DTSTAMP:20260409T110553
CREATED:20251017T131844Z
LAST-MODIFIED:20251017T133629Z
UID:11957-1761312600-1761318000@crc326gaus.de
SUMMARY:Some cases of cube sum problem
DESCRIPTION:Dipramit Majumdar (IIT Madras / Universität Heidelberg) \nAbstract: An integer n is said to be a rational cube sum or simply a cube sum if n can be written as a sum of cubes of two rational numbers. For example\, 6 = (17/21)^3+ (37/21)^3. A cube-free integer n > 2 is a cube sum if and only if the elliptic curve y^2=x^3-432n^2 has infinitely many solutions over the rational numbers. A recent result of Alpöge-Bhargava-Shnidman-Burungale-Skinner shows that a positive proportion of integers are cube sums and a positive proportion of integers are not. \nWe will discuss the cube sum problem for some special family of integers. This talk is based on joint works with De\, Jha\, Mondal\, Shingavekar and Sury.
URL:https://crc326gaus.de/event/some-cases-of-cube-sum-problem/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251024T153000
DTEND;TZID=Europe/Berlin:20251024T170000
DTSTAMP:20260409T110553
CREATED:20250915T102833Z
LAST-MODIFIED:20250915T102833Z
UID:11619-1761319800-1761325200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Michael Rapoport (University Bonn): Toric schemes and integral models of Shimura varieties \nThe modular curve with Gamma0(p)$-level structure has a beautiful integral model over BZp\, and generalizations of this model to any Shimura variety with p-parahoric level have been constructed in the last 30 years. When passing from Gamma0(p)-level to Gamma1(p)-level\, the situation changes drastically. In the talk I will explain a general method that potentially allows to deal with such level structures. The method is based on the construction of torus embeddings of the maximal torus of a reductive group scheme. Joint work with G. Pappas. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-241025/
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:20251107T153000
DTEND;TZID=Europe/Berlin:20251107T170000
DTSTAMP:20260409T110553
CREATED:20250915T103631Z
LAST-MODIFIED:20251024T130422Z
UID:11623-1762529400-1762534800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Fei Ren (Bergische Universität Wuppertal): Coherent Six-Functor Formalisms: Pro vs Solid \nIn the classical theory for coherent sheaves\, the only missing piece in the Grothendieck\nsix-functor formalism picture is j! for an open immersion j. Towards fixing this gap\, Deligne\nprovided a construction of j! by extending the sheaf class to pro sheaves\, while Clausen-\nScholze provided another solution by extending the sheaf class to solid modules.\nIn this talk\, I will explain how Deligne’s construction coincides with the Clausen-Scholze construction via a natural functor\, whose restriction to the full subcategory of Mittag-Leffler pro-systems is fully faithful. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-071125/
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:20251118T150000
DTEND;TZID=Europe/Berlin:20251118T160000
DTSTAMP:20260409T110553
CREATED:20251020T075708Z
LAST-MODIFIED:20251111T070605Z
UID:11986-1763478000-1763481600@crc326gaus.de
SUMMARY:The Gross-Zagier formula on singular moduli for Shimura curves
DESCRIPTION:International Seminar on Automorphic Forms \nAndrew Phillips (College of Idaho): The Gross-Zagier formula on singular moduli for Shimura curves \nThe Gross-Zagier formula on singular moduli\, which gives a formula for the prime factorization of differences of j-values\, can be seen as a calculation of the intersection multiplicity of two CM divisors on the integral model of a modular curve. We will discuss a generalization of this result to a Shimura curve. \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-145/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251121T153000
DTEND;TZID=Europe/Berlin:20251121T170000
DTSTAMP:20260409T110553
CREATED:20250915T103808Z
LAST-MODIFIED:20251024T130535Z
UID:11627-1763739000-1763744400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Ioannis Zachos (University Münster): On integral models for some ramified unitary Shimura varieties \nLocal models of Shimura varieties are projective flat schemes over the spectrum of a discrete valuation ring. The importance of local models lies in the fact that under some assumptions they model the singularities that arise in the reduction modulo p of Shimura varieties. In this talk\, we will first introduce the notion of local models and certain variants of them for some ramified unitary Shimura varieties. Building on this\, we will resolve the singularities of these models\, leading to regular integral models for the corresponding Shimura varieties. In the end we will discuss the Bruhat-Tits stratification of the associated Rapoport-Zink spaces. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-211125/
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:20251125T150000
DTEND;TZID=Europe/Berlin:20251125T160000
DTSTAMP:20260409T110553
CREATED:20251020T075830Z
LAST-MODIFIED:20251121T074726Z
UID:11985-1764082800-1764086400@crc326gaus.de
SUMMARY:Refined equidistribution of Hecke points and cryptography
DESCRIPTION:International Seminar on Automorphic Forms \nRadu Toma ( Institut de mathémathiques de Jussieu): Refined equidistribution of Hecke points and cryptography \nA classic theorem states that\, fixing a Euclidean lattice L\, its sublattices of large index equidistribute in the space of lattices. The literature leaves open the question: how does the rate of equidistribution depend on L? In joint work with de Boer\, Page\, and Wesolowski\, we answer this using automorphic theory and geometry of numbers. Motivated by lattice-based cryptography\, we apply the result to show that a computational problem called SIVP is as hard for Haar random module lattices as it is in the worst case. \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-146/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251128T153000
DTEND;TZID=Europe/Berlin:20251128T170000
DTSTAMP:20260409T110553
CREATED:20250915T103944Z
LAST-MODIFIED:20251111T081806Z
UID:11629-1764343800-1764349200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Juan Esteban Rodríguez Camargo (MPI Bonn): Cartier duality for gerbes of vector bundles \nUsing the theory of abstract six functor formalisms of\nanalytic stacks\, I will explain a general Cartier duality for gerbes\nof vector bundles in different algebraic and analytic setups. As an\napplication\, admitting some foundational aspects of the theory of the\nanalytic Hodge-Tate stack (joint with Anschütz\, Le Bras and Scholze)\,\none can deduce a Cartier duality between the categories of\nquasi-coherent sheaves of the analytic\nHodge-Tate stack and weight one modules on the Simpson gerbe of Bhatt-Zhang. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-281125/
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:20251202T160000
DTEND;TZID=Europe/Berlin:20251202T170000
DTSTAMP:20260409T110553
CREATED:20251201T122325Z
LAST-MODIFIED:20251201T122325Z
UID:12287-1764691200-1764694800@crc326gaus.de
SUMMARY:From Asai to Triple Product: Euler Systems and p-adic L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nGiada Grossi (Paris 13) : From Asai to Triple Product: Euler Systems and p-adic L-functions \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/from-asai-to-triple-product-euler-systems-and-p-adic-l-functions/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251203T160000
DTEND;TZID=Europe/Berlin:20251203T170000
DTSTAMP:20260409T110553
CREATED:20251007T145604Z
LAST-MODIFIED:20251127T095230Z
UID:11823-1764777600-1764781200@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:Kay Rülling (Universität Wuppertal): Tame cohomology of the structure sheaf in mixed characteristic \nAbstract:\nThis is joint work in progress with Alberto Merici and Shuji Saito.\nLet R be a complete discrete valuation ring of mixed characteristic with fraction field K.\nWe show that the tame cohomology of Hübner-Schmidt on smooth K-schemes relative to R of (a twist of) the structure sheaf is \A^1-invariant and is a finite R-module up to bounded torsion.\nThis induces a canonical R-lattice in the cohomology of the structure sheaf of smooth proper K-schemes.\nIf X has a regular model over R and resolutions of singularities in mixed characteristic hold\, then this lattice would be the cohomology of this regular model. The interesting point is that we get the existence of such a lattice also in case X has no regular model and without using resolutions.\nTo this end we use classical results by Bartenwerfer and van der Put in rigid geometry.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie-2/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 309
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251205T133000
DTEND;TZID=Europe/Berlin:20251205T150000
DTSTAMP:20260409T110553
CREATED:20251202T074025Z
LAST-MODIFIED:20251202T074025Z
UID:12293-1764941400-1764946800@crc326gaus.de
SUMMARY:On the distribution of supersingular primes of abelian varieties and K3 surfaces
DESCRIPTION:Prof. Dr. Chun Yin Hui (The University of Hongkong) \nAbstract: Let X be an abelian variety or a K3 surface defined over a number field K. We prove that the density of the supersingular primes of X/K is zero if X is non-CM. By applying an effective Chebotarev density theorem of Serre\, we obtain asymptotic upper bounds of the counting function for these supersingular primes. \n 
URL:https://crc326gaus.de/event/on-the-distribution-of-supersingular-primes-of-abelian-varieties-and-k3-surfaces/
LOCATION:Heidelberg\, MATHEMATIKON\, SR A\, Deutschland
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251205T153000
DTEND;TZID=Europe/Berlin:20251205T170000
DTSTAMP:20260409T110553
CREATED:20250915T104108Z
LAST-MODIFIED:20251111T081722Z
UID:11631-1764948600-1764954000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Felix Röhrle (Universität Tübingen): Quadratically enriched plane curve counting via tropical geometry \nConsider the classical problem in enumerative geometry of counting rational plane curves through a fixed configuration of points. The problem may be considered over any base field and the point conditions might be scheme theoretic points. Recently\, Kass–Levine–Solomon–Wickelgren have used techniques from $\mathbb{A}^1$-homotopy theory to define an enumerative invariant for this problem which is defined over a large class of possible base fields. This new theory generalizes Gromov-Witten invariants (base field = complex numbers) and Welschinger invariants (base field = real numbers) simultaneously. In this talk I will present a tropical correspondence theorem\, which allows to effectively compute these new invariants. This is joint work with Andrès Jaramillo-Puentes\, Hannah Markwig\, and Sabrina Pauli. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-051225/
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:20251209T150000
DTEND;TZID=Europe/Berlin:20251209T160000
DTSTAMP:20260409T110553
CREATED:20251020T080004Z
LAST-MODIFIED:20251205T082856Z
UID:11979-1765292400-1765296000@crc326gaus.de
SUMMARY:Kudla's conjecture in cohomology for unitary Shimura varieties
DESCRIPTION:International Seminar on Automorphic Forms \nFrançois Greer (Michigan State University): Kudla’s conjecture in cohomology for unitary Shimura varieties \nThe generating series for special cycles in a unitary Shimura variety $X$ associated to a Hermitian lattice of signature $(1\,n)$ is a modular form. Such a Shimura variety has a unique toroidal compactification\, and one can consider the closures of the special cycles there. We prove that for codimension up to the middle\, the generating series for these closures is quasi-modular\, and explain how to make boundary corrections to restore modularity\, answering a question of Kudla. This is based on joint work with Salim Ta \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-147/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
END:VCALENDAR