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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251128T153000
DTEND;TZID=Europe/Berlin:20251128T170000
DTSTAMP:20260403T203531
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:20260403T203531
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:20260403T203531
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:20260403T203531
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:20260403T203531
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:20260403T203531
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
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251211T153000
DTEND;TZID=Europe/Berlin:20251211T163000
DTSTAMP:20260403T203531
CREATED:20251126T135839Z
LAST-MODIFIED:20251202T114220Z
UID:12256-1765467000-1765470600@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:Annalisa Grossi (Università di Bologna): In search of maximal branes on Hyper-Kähler manifolds \nAbstract: Given a holomorphic or anti-holomorphic involution on a complex variety\, the Smith-Thom inequality says that the total \mathbb{F}_2-Betti number of the fixed locus is no greater than the total \mathbb{F}_2-Betti number of the ambient variety. The involution is called maximal when the equality is achieved. On a Hyper-Kähler manifold X a holomorphic or a anti-holomorphic involution is referred to as a brane involution. While examples of non-compact hyper-Kähler manifolds admitting maximal branes are known\, the compact case is more intriguing. In particular\, although there exist some K3 surfaces admitting maximal brane involutions\, the main result that I will show you is the non-existence of maximal branes on Hyper-Kähler manifolds deformation equivalent to the Hilbert scheme of points on a K3 surface. This talk is based on a joint work and on a joint work in progress with S. Billi\, L. Fu and V. Kharlamov.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie-4/
LOCATION:Frankfurt\, RM-Str. 6-8\, R. 308
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251212T133000
DTEND;TZID=Europe/Berlin:20251212T150000
DTSTAMP:20260403T203531
CREATED:20251203T105356Z
LAST-MODIFIED:20251203T105356Z
UID:12296-1765546200-1765551600@crc326gaus.de
SUMMARY:Algebraicity of critical Hecke L-values
DESCRIPTION:Prof. Dr. Johannes Sprang (Universität Duisburg-Essen) \nEuler’s beautiful formula for the values of the Riemann zeta function at the positive even integers can be seen as the starting point of the investigation of special values of L-functions.\nIn particular\, Euler’s result shows that all critical zeta values are rational up to multiplication with a particular period\, here the period is a power of 2πi. Conjecturally this is expected to hold for all critical L-values of motives. In this talk\, I will explain a joint result with Guido Kings on the algebraicity of critical Hecke L-values up to explicit periods for totally imaginary fields. As an application\, I will discuss the construction of p-adic L-functions for such fields. \n 
URL:https://crc326gaus.de/event/algebraicity-of-critical-hecke-l-values/
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:20251219T153000
DTEND;TZID=Europe/Berlin:20251219T170000
DTSTAMP:20260403T203531
CREATED:20250915T104643Z
LAST-MODIFIED:20250915T104643Z
UID:11635-1766158200-1766163600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Cookies & Math \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-191225/
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:20260109T133000
DTEND;TZID=Europe/Berlin:20260109T150000
DTSTAMP:20260403T203531
CREATED:20251212T110218Z
LAST-MODIFIED:20260102T141408Z
UID:12386-1767965400-1767970800@crc326gaus.de
SUMMARY:p-adic periods of 1-motives
DESCRIPTION:Felix Sefzig (Universität Zürich) \nI will present a new construction of the p-adic de Rham comparison isomorphism for 1-motives. As an application\, I will show how this approach leads to explicit computations of the periods of elliptic and hyperelliptic curves. In particular\, this provides concrete\, non-trivial examples of so-called motivic periods.
URL:https://crc326gaus.de/event/tba-151/
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:20260113T160000
DTEND;TZID=Europe/Berlin:20260113T170000
DTSTAMP:20260403T203531
CREATED:20251020T080138Z
LAST-MODIFIED:20251209T073333Z
UID:11980-1768320000-1768323600@crc326gaus.de
SUMMARY:Jacobi forms and modular differential equations
DESCRIPTION:International Seminar on Automorphic Forms \nDmitrii Adler (MPIM Bonn):  Jacobi forms and modular differential equations \nThe Serre derivative is a differential operator that raises the weight of a modular form by 2. One possible generalization of the Serre derivative to the setting of Jacobi forms is a modification of the heat operator involving the quasi-modular Eisenstein series E_2. In this talk\, I will present an approach to constructing modular differential equations for Jacobi forms with respect to this operator. This method makes it possible to describe solutions of first- and second-order modular differential equations (Kaneko–Zagier type equations)\, to construct higher-order differential equations\, and to obtain applications to the elliptic genus of Calabi–Yau manifolds. This is joint work with Valery Gritsenko. \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-148/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260116T111500
DTEND;TZID=Europe/Berlin:20260116T124500
DTSTAMP:20260403T203531
CREATED:20260109T113557Z
LAST-MODIFIED:20260109T113557Z
UID:12529-1768562100-1768567500@crc326gaus.de
SUMMARY:Picard modular forms and integrable systems
DESCRIPTION:Fabien Cléry (Loughborough University) \nWe will explain how certain integrable systems can be solved\nby using Picard modular forms. This is joint work with E. Ferapontov\,\nA. Odesskii and D. Zagier.
URL:https://crc326gaus.de/event/picard-modular-forms-and-integrable-systems/
LOCATION:Heidelberg\, Mathematikon\, SR 8\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260116T133000
DTEND;TZID=Europe/Berlin:20260116T150000
DTSTAMP:20260403T203531
CREATED:20260109T133323Z
LAST-MODIFIED:20260109T133323Z
UID:12532-1768570200-1768575600@crc326gaus.de
SUMMARY:Jacobians with Complex Multiplication
DESCRIPTION:Ben Moonen (Radboud University Nijmegen) \nAn old conjecture by Coleman predicts that if we fix a sufficiently large integer g\, there exist only finitely many (smooth projective) complex curves of genus g whose Jacobians are abelian variety of CM type. Coleman originally conjectured this to be true for g>3; there are\, however\, counterexamples for g up to 7. I will explain how\, through a programme initiated by Oort\, this problem relates to the question of whether in the moduli space of abelian varieties there exists positive dimensional special subvarieties (Shimura varieties) that are contained in the Torelli locus. The goal of my talk is to explain what we currently know about this problem\, and what not.
URL:https://crc326gaus.de/event/jacobians-with-complex-multiplication/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260116T140000
DTEND;TZID=Europe/Berlin:20260116T180000
DTSTAMP:20260403T203531
CREATED:20251216T110728Z
LAST-MODIFIED:20251216T110728Z
UID:12425-1768572000-1768586400@crc326gaus.de
SUMMARY:Conformal Field Theory
DESCRIPTION:14:00-15:00: Anne Moreau (Laboratoire de Mathématiques d’Orsay): W-algebras as conformal extensions of affine vertex algebras \n15:15-16:15: Quan Situ (Clermont Auvergne University): Extension between simple and costandard modules in the modular BGG category O \n17:00-18:00: Lennart Meier (Utrecht University): From conformal field theories to topological modular forms
URL:https://crc326gaus.de/event/conformal-field-theory-2/
LOCATION:Darmstadt\, Room S1|03 226\, Hochschulstraße 1\, Darmstadt\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260120T160000
DTEND;TZID=Europe/Berlin:20260120T170000
DTSTAMP:20260403T203531
CREATED:20251020T080249Z
LAST-MODIFIED:20260115T123107Z
UID:11981-1768924800-1768928400@crc326gaus.de
SUMMARY:Sums of Hecke eigenvalues along polynomials and arithmetic applications
DESCRIPTION:International Seminar on Automorphic Forms \nKaty Woo (Stanford University): Sums of Hecke eigenvalues along polynomials and arithmetic applications \nWe study sums of absolute values of Hecke eigenvalues of GL(2) representations that are tempered at all finite places. We show that these sums exhibit logarithmic savings over the trivial bound if and only if the representation is cuspidal. Further\, we connect the problem of studying the sums of Hecke eigenvalues along polynomial values to the base change problem for GL(2). Finally\, we will describe some arithmetic applications of bounds on these sums for counting rational points on del Pezzo surfaces. \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-149/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260123T153000
DTEND;TZID=Europe/Berlin:20260123T170000
DTSTAMP:20260403T203531
CREATED:20250915T105033Z
LAST-MODIFIED:20260108T092130Z
UID:11639-1769182200-1769187600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Luca Marannino (Jussieu)\, On anticyclotomic twists of modular forms at inert primes \nIn this talk\, we outline an approach to the study of anticyclotomic twists of modular forms\, when the fixed prime p is inert in the relevant quadratic imaginary field. After revisiting old (and less old) results involving Heegner points/cycles\, we will focus on our recent work. Following ideas of Castella-Do for the “p split” case\, one can envisage a construction of an anticyclotomic Euler system arising from a suitable manipulation of diagonal classes on a triple product of modular curves and obtain new p-adic evidence for the Bloch-Kato conjecture in rank 1 situations. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-230126/
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:20260127T160000
DTEND;TZID=Europe/Berlin:20260127T170000
DTSTAMP:20260403T203531
CREATED:20251020T080353Z
LAST-MODIFIED:20260119T081848Z
UID:11984-1769529600-1769533200@crc326gaus.de
SUMMARY:On the global Gan-Gross-Prasad conjecture for GSpin groups
DESCRIPTION:International Seminar on Automorphic Forms \nPan Yan ( University of Arizona): On the global Gan-Gross-Prasad conjecture for GSpin groups \nWe prove one direction of the global Gan-Gross-Prasad conjecture for generic representations of GSpin groups\, namely the implication from the non-vanishing of the Bessel period to the non-vanishing of the central value of L-function. The proof is based on a new Rankin-Selberg integral for GSpin groups using Bessel models. \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-150/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260130T133000
DTEND;TZID=Europe/Berlin:20260130T143000
DTSTAMP:20260403T203531
CREATED:20260123T151627Z
LAST-MODIFIED:20260123T151627Z
UID:12614-1769779800-1769783400@crc326gaus.de
SUMMARY:The Bloch conductor formula
DESCRIPTION:Dr. Massimo Pippi (Université Angers) \nLet X be a regular scheme over the spectrum of a DVR S. Bloch conjectured a formula which relates the algebraic differential forms of X with the total dimension of the vanishing cohomology of X/S. In this talk I’ll describe a proof of this formula using methods from non-commutative and derived algebraic geometry. This is a joint work with Dario Beraldo.
URL:https://crc326gaus.de/event/the-bloch-conductor-formula/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260130T153000
DTEND;TZID=Europe/Berlin:20260130T170000
DTSTAMP:20260403T203531
CREATED:20250915T105124Z
LAST-MODIFIED:20260122T111355Z
UID:11641-1769787000-1769792400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Maxime Ramzi (Universität Münster): On free rigid commutative algebras \nEfimov’s recent discovery of continuous K-theory has sparked some interest in the notion of dualizable categories and related objects\, such as rigid commutative algebras\, which appear in very varied contexts\, from sheaf theory to analytic geometry. In this context\, a thorough analysis of rigid commutative algebras seems to be needed.\nIn this talk\, after giving an introduction to the context above\,\, I will discuss a formula for free rigid commutative algebras in the context of 2-presentably symmetric monoidal 2-categories. The formula recovers some results of Barkan and Steinebrunner\, but it has some surprising features which have some consequences for the theory of rigidification of locally rigid commutative algebras\, which\, time permitting\, I will sketch. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-300126/
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:20260202T164500
DTEND;TZID=Europe/Berlin:20260202T174500
DTSTAMP:20260403T203531
CREATED:20251008T081505Z
LAST-MODIFIED:20260126T074310Z
UID:11825-1770050700-1770054300@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:Veronika Ertl (Universität Caen): Rigid syntomic cohomology over p-adic fields \nAbstract: Syntomic cohomology plays an important role in the research of (p-adic) L-functions. An advantage of a rigid analytic approach is that it gives an explicit description suitable for calculations. On the other hand\, it is rather technical\, which makes laying down the foundations challenging. In this talk I will report on joint work in progress with Kazuki Yamada. I will explain how to extend the theory that we have previously developed of a syntomic cohomology for semistable schemes to the case of varieties over p-adic fields.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie-3/
LOCATION:Frankfurt\, Rober-Mayer-Str. 10\, Raum 711 klein
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260325T150000
DTEND;TZID=Europe/Berlin:20260325T173000
DTSTAMP:20260403T203531
CREATED:20260312T151618Z
LAST-MODIFIED:20260319T091532Z
UID:12824-1774450800-1774459800@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:15:00 Uhr: Sara Sajadi (Universität Toronto): A Unified Finiteness Theorem For Curves \nAbstract: This talk presents a unified framework for finiteness results concerning arithmetic points on algebraic curves\, exploring the analogy between number fields and function fields. The number field setting\, joint work with F. Janbazi\, generalizes and extends classical results of Birch–Merriman\, Siegel\, and Faltings. We prove that the set of Galois-conjugate points on a smooth projective curve with good reduction outside a fixed finite set of places is finite\, when considered up to the action of the automorphism group of a proper integral model. Motivated by this\, we consider the function field analogue\, involving a smooth and proper family of curves over an affine curve defined over a finite field. In this setting\, we show that for a fixed degree\, there are only finitely many étale relative divisors over the base\, up to the action of the family’s automorphism group (and including the Frobenius in the isotrivial case). Together\, these results illustrate both the parallels and distinctions between the two arithmetic settings\, contributing to a broader unifying perspective on finiteness. \n16:30 Uhr: Benjamin Steklov (Goethe Universität): Fermat’s Last Theorem for Selmer sections \nAbstract: Wiles famously proved Fermat’s Last Theorem\, which states that the (affine) Fermat curve of exponent p>2 has no rational points. Grothendieck’s section conjecture predicts that for a hyperbolic curve over a number field\, rational points are controlled by sections of a natural exact sequence of étale fundamental groups. Combined with Fermat’s Last Theorem\, this suggests that the corresponding sequence for the Fermat curve admits only sections arising from cusps. In this talk\, we explain how to prove that this prediction holds for Selmer sections of the Fermat curve.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie-5/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260417T133000
DTEND;TZID=Europe/Berlin:20260417T143000
DTSTAMP:20260403T203531
CREATED:20260320T133138Z
LAST-MODIFIED:20260320T133138Z
UID:12884-1776432600-1776436200@crc326gaus.de
SUMMARY:Wach modules of crystalline (phi\, Gamma)-modules over the Robba ring
DESCRIPTION:Janine Roshardt (ETH Zürich) \nBy works of Nathalie Wach and Laurent Berger there is an equivalence of Wach modules over B_Q_p^+ and crystalline p-adic representations of the absolute Galois group over Q_p. Jonathan Pottharst has stated a generalization of this equivalence to crystalline (phi\, Gamma)-modules over the Robba ring\, but no proof has appeared in the literature. In this talk\, I will explain the ideas underlying this generalization and the construction of Wach modules over the positive Robba ring.
URL:https://crc326gaus.de/event/wach-modules-of-crystalline-phi-gamma-modules-over-the-robba-ring/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260417T153000
DTEND;TZID=Europe/Berlin:20260417T170000
DTSTAMP:20260403T203531
CREATED:20260323T091332Z
LAST-MODIFIED:20260401T082348Z
UID:12888-1776439800-1776445200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Nicolas Dupré (Wuppertal): Pro-p Iwahori-Hecke modules and singularity categories \nLet G be the group of rational points of a split reductive group over a nonarchimedean local field F of residue characteristic p\, and let H be the associated pro-p Iwahori-Hecke algebra over a field k of characteristic p. The mod-p Langlands program aims to relate the representation theory of G over k to that of the absolute Galois group of F. The representations of G in this context are however still very poorly understood. On the other hand\, the H-modules are much better understood and there even are results relating them to Galois representations. In earlier work\, we investigated the so-called Gorenstein projective model structure on the category of H-modules and its associated homotopy category Ho(H). Assuming G has semisimple rank 1\, we will explain in this talk how this category Ho(H) identifies with the singularity category of a suitable scheme parametrising Galois representations. This scheme appeared previously in work of Dotto-Emerton-Gee and of Pépin-Schmidt. After taking a suitable notion of support\, this recovers (most of) the semisimple mod-p Langlands correspondence for GL_2(Q_p). Time permitting\, we will also discuss some results about Ho(H) in higher rank. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-37/
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:20260424T133000
DTEND;TZID=Europe/Berlin:20260424T143000
DTSTAMP:20260403T203531
CREATED:20260320T134659Z
LAST-MODIFIED:20260320T134659Z
UID:12886-1777037400-1777041000@crc326gaus.de
SUMMARY:Duality for the condensed cohomology of the Weil group of a p-adic field
DESCRIPTION:Marco Artusa (CIRM (Luminy) and I2M (Marseille)) \nDuality theorems are among the central results in arithmetic geometry. For $p$-adic fields\, the earliest example is due to Tate\, dealing with Galois cohomology of finite Galois modules. To extend this result to more general coefficients\, one is forced to modify the original cohomology groups. This underlines some shortcomings of Galois cohomology\, such as the lack of a natural topology on cohomology groups. In this talk\, we build a new topological cohomology theory for p-adic fields\, thanks to the Weil group and Condensed Mathematics. Moreover\, we see how to use this cohomology theory to extend Tate’s result to more general topological coefficients. This new duality takes the form of a Pontryagin duality between locally compact abelian groups. As a particular case\, one gets the reciprocity isomorphisms of local class field theory “à la Weil”\, which identifies the units of a $p$-adic field and the abelianised Weil group. One could try to apply similar techniques to higher local fields. Inspired by Kato’s work\, the hope is to obtain a condensed-Weil version of higher local class field theory\, which would identify $d$-th Milnor $K$-theory of a higher local field with its abelianised Weil group.
URL:https://crc326gaus.de/event/duality-for-the-condensed-cohomology-of-the-weil-group-of-a-p-adic-field/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260424T153000
DTEND;TZID=Europe/Berlin:20260424T170000
DTSTAMP:20260403T203531
CREATED:20260323T091434Z
LAST-MODIFIED:20260323T091843Z
UID:12890-1777044600-1777050000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Lucas Gerth (IMJ Paris): Moduli spaces of analytic p-divisible groups \nAbstract: We prove a classification of families of analytic p-divisible groups on adic spaces S over Qp in terms of Hodge–Tate triples on S\, generalizing a theorem of Fargues. From this\, for S a perfectoid space\, we construct an analytic Dieudonné theory with values in mixed characteristic Shtukas over the Fargues–Fontaine disc. As applications\, we realize the local Shimura varieties of EL and PEL type of Scholze–Weinstein as moduli spaces of analytic p-divisible groups with framed universal cover\, and we reinterpret the Hodge–Tate period map of Scholze in terms of topologically p-torsion subgroups of abelian varieties. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-38/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260507T153000
DTEND;TZID=Europe/Berlin:20260507T183000
DTSTAMP:20260403T203531
CREATED:20260303T110945Z
LAST-MODIFIED:20260323T111749Z
UID:12755-1778167800-1778178600@crc326gaus.de
SUMMARY:CRC-Colloquium
DESCRIPTION:15:20 Coffee (or earlier)\n15:30 – 16:30 Sabrina Pauli (TU Darmstadt): Tropical and Arithmetic Perspectives\n16:30 Coffee and Cake\n17:15 – 18:15 Jakob Stix (Goethe Universität Frankfurt): tba\n18:45 Dinner \n 
URL:https://crc326gaus.de/event/crc-colloquium/
LOCATION:Darmstadt
CATEGORIES:GAUS-Seminar
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260522T153000
DTEND;TZID=Europe/Berlin:20260522T170000
DTSTAMP:20260403T203531
CREATED:20260319T100054Z
LAST-MODIFIED:20260319T100054Z
UID:12873-1779463800-1779469200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Lucien Hennecart (CNRS): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-32/
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:20260529T153000
DTEND;TZID=Europe/Berlin:20260529T170000
DTSTAMP:20260403T203531
CREATED:20260319T100223Z
LAST-MODIFIED:20260319T100223Z
UID:12875-1780068600-1780074000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Manuel Hoff (Bielefeld): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-33/
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:20260612T153000
DTEND;TZID=Europe/Berlin:20260612T170000
DTSTAMP:20260403T203531
CREATED:20260319T100329Z
LAST-MODIFIED:20260319T100329Z
UID:12877-1781278200-1781283600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Federico Binda (Milano): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-34/
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:20260619T153000
DTEND;TZID=Europe/Berlin:20260619T170000
DTSTAMP:20260403T203531
CREATED:20260319T100422Z
LAST-MODIFIED:20260319T100422Z
UID:12879-1781883000-1781888400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Louisa Bröring (Duisburg-Essen): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-35/
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