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DTSTART;TZID=Europe/Berlin:20250703T090000
DTEND;TZID=Europe/Berlin:20250703T100000
DTSTAMP:20260424T081133
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:20260424T081133
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:20260424T081133
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:20260424T081133
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:20260424T081133
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:20260424T081133
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
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