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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250425T153000
DTEND;TZID=Europe/Berlin:20250425T170000
DTSTAMP:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
CREATED:20250414T115513Z
LAST-MODIFIED:20250414T115513Z
UID:11040-1747409400-1747414800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Simon Riche  (Université Clermont Auvergne): Semiinfinite sheaves on affine flag varieties \nWe will explain how\, generalizing a construction of Gaitsgory\, one can define and study a category of sheaves on the affine flag variety of a complex reductive group that “models” sheaves on the corresponding semiinfinite flag variety\, with coefficients in a field of positive characteristic\, and which should provide a geometric model for a category of representations of the Langlands dual Lie algebra over the given coefficient field. As an application\, we use this construction to compute the dimensions of stalks of the intersection cohomology complex on Drinfeld’s compactification\, with coefficients in any field of good characteristic. This is joint work with Pramod Achar and Gurbir Dhillon. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-26/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250522T141500
DTEND;TZID=Europe/Berlin:20250522T151500
DTSTAMP:20260405T151543
CREATED:20250305T094423Z
LAST-MODIFIED:20250516T072330Z
UID:10638-1747923300-1747926900@crc326gaus.de
SUMMARY:Integral Nori Motives
DESCRIPTION:Swann Tubach (ENS Lyon) \nThe classical theory of Nori motives provides a tensor abelian category of motives over a field k of characteristic zero\, with a nice universal property and realisation functors interpolating various cohomology theories. We will construct a commutative algebra N_X in the category of étale motivic sheaves over any scheme X of characteristic zero\, compatible with base change\, such that the category DNgm(X) of geometric objects in modules over N_X has natural t-structures\, the 6 operations\, and conservative realisation functors. Over a field we recover the derived category of Nori motives\, and with rational coefficients we recover the derived category of Ivorra-Morel’s category of perverse Nori motives. This provides abelian categories of motivic sheaves with integral coefficients. This is joint work with Raphaël Ruimy.
URL:https://crc326gaus.de/event/tba-134/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250523T133000
DTEND;TZID=Europe/Berlin:20250523T143000
DTSTAMP:20260405T151543
CREATED:20250320T114638Z
LAST-MODIFIED:20250320T114638Z
UID:10731-1748007000-1748010600@crc326gaus.de
SUMMARY:Berthelot's conjecture via p-adic homotopy theory
DESCRIPTION:Alberto Vezzani (Universitá degli Studi di Milano) \nAbstract: By drawing parallels to classical work by Monsky-Washnitzer\, Elkik\, Arabia and others\, we motivate the study of (non-archimedean) motivic homotopy theory by showing that it can be used to define/re-define rational p-adic cohomology theories and prove new results about them. For example\, we show how to define relative rigid cohomology and deduce finiteness properties for it (joint work with V. Ertl)\, solving a version of a conjecture by Berthelot for coefficients of geometric origin.
URL:https://crc326gaus.de/event/berthelots-conjecture-via-p-adic-homotopy-theory/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250527T160000
DTEND;TZID=Europe/Berlin:20250527T170000
DTSTAMP:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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:20260405T151543
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
END:VCALENDAR