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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241203T160000
DTEND;TZID=Europe/Berlin:20241203T170000
DTSTAMP:20260405T153356
CREATED:20241016T114757Z
LAST-MODIFIED:20241127T145427Z
UID:9394-1733241600-1733245200@crc326gaus.de
SUMMARY:Topographs and some infinite series
DESCRIPTION:International Seminar on Automorphic Forms \nCormac O’Sullivan (CUNY)): Topographs and some infinite series\nThe Fibonacci numbers are a familiar recursive sequence. Topographs are a kind of two dimensional version conjured up by J.H. Conway in his study of integral binary quadratic forms. These forms are ax^2 + bxy + cy^2 with integer coefficients\, and have a long history in number theory. We’ll review Conway’s classification of topographs into 4 types and look at some new discoveries. Applications are to new class number formulas and a simplification of a proof of Gauss related to sums of three squares. We’ll also see how several infinite series over all the numbers in a topograph may be evaluated explicitly. This generalizes and extends results of Hurwitz and more recent authors and requires a certain Poincare series.  \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-121/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241205T141500
DTEND;TZID=Europe/Berlin:20241205T151500
DTSTAMP:20260405T153356
CREATED:20241002T101031Z
LAST-MODIFIED:20241126T120757Z
UID:9275-1733408100-1733411700@crc326gaus.de
SUMMARY:On the transcendental part of K3 surfaces associated with 3D Fano polytopes
DESCRIPTION:
URL:https://crc326gaus.de/event/tba-113/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T110000
DTEND;TZID=Europe/Berlin:20241206T120000
DTSTAMP:20260405T153356
CREATED:20241202T083638Z
LAST-MODIFIED:20241202T084811Z
UID:10043-1733482800-1733486400@crc326gaus.de
SUMMARY:Tropical refined curve counting and mirror symmetry
DESCRIPTION:Dr. Qaasim Shafi\, postdoctoral research associate at Heidelberg University
URL:https://crc326gaus.de/event/tropical-refined-curve-counting-and-mirror-symmetry-2/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 10\, INF 205\, Heidelberg\, 69124\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T133000
DTEND;TZID=Europe/Berlin:20241206T143000
DTSTAMP:20260405T153356
CREATED:20241113T103034Z
LAST-MODIFIED:20241126T102503Z
UID:9832-1733491800-1733495400@crc326gaus.de
SUMMARY:Chow-Heegner Points and Artin Formalism for triple product p-adic L-functions
DESCRIPTION:Kazim Büyükboduk (University College Dublin) \nI will discuss the factorization of a certain triple product p-adic L-function whose interpolation range is empty. The said factorization reflects the Artin formalism for the underlying family of motives (that decompose as the sum of 2 motives of respective degrees 2 and 6). I will explain how this factorization problem can be recast as the comparison of two families of arithmetic GGP conjectures (and can be proved in some cases using this reduction).
URL:https://crc326gaus.de/event/chow-heegner-points-and-artin-formalism-for-triple-product-p-adic-l-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T153000
DTEND;TZID=Europe/Berlin:20241206T170000
DTSTAMP:20260405T153356
CREATED:20241016T112752Z
LAST-MODIFIED:20241118T122001Z
UID:9357-1733499000-1733504400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Christopher Lang (TU Darmstadt): Ekedahl-Oort Stratification of Deligne-Lusztig Varieties \nWhen developing a stratificaion of Rapoport-Zink spaces\, Vollaard and\nWedhorn constructed a decomposition of a certain Deligne-Lusztig variety\nfor a unitary group using smaller Deligne-Lusztig varieties. We will show\nthat this decomposition can be obtained by pullback of the Ekedahl-Oort\nstratification of G-Zips. With this method one gets an Ekedahl-Oort\nstratification of flag varieties for reductive groups\, which refines the\nusual stratification by Deligne-Lusztig varieties. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-16/
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:20241212T141500
DTEND;TZID=Europe/Berlin:20241212T151500
DTSTAMP:20260405T153356
CREATED:20241126T121001Z
LAST-MODIFIED:20241204T104303Z
UID:10010-1734012900-1734016500@crc326gaus.de
SUMMARY:The heart fan of an abelian category
DESCRIPTION:David Ploog (Stavanger) \nAbstract: To an abelian category such as coherent sheaves on a projective variety or modules over a finite-dimensional algebra\, I associate a fan of convex cones. This fan reflects homological properties of the category. It contains the g-fan of representation theory and is related to the stability conditions.
URL:https://crc326gaus.de/event/tba-133/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241213T110000
DTEND;TZID=Europe/Berlin:20241213T120000
DTSTAMP:20260405T153356
CREATED:20241111T144113Z
LAST-MODIFIED:20241206T101054Z
UID:9824-1734087600-1734091200@crc326gaus.de
SUMMARY:Wall crossing for equivariant CY3 categories
DESCRIPTION:Nikolas Kuhn (University of Oxford) \nThe Joyce-Song wall-crossing formulas for Donaldson-Thomas invariants of Calabi-Yau threefolds have proven to be a crucial and versatile tool. In the presence of a torus action\, there are interesting threefold geometries in which the Calabi-Yau condition only holds up to an equivariant twist – examples include Vafa-Witten invariants\, local curves and surfaces and the threefold vertex. In these cases\, invariants are defined using localization\, and Joyce-Song’s theory doesn’t apply. I will explain how ideas from Joyce’s recent work on wall-crossing in abelian categories can be used to prove wall-crossing in this situation\, and which difficulties arise.  This is joint work with Henry Liu and Felix Thimm.
URL:https://crc326gaus.de/event/tba-127/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241213T133000
DTEND;TZID=Europe/Berlin:20241213T143000
DTSTAMP:20260405T153356
CREATED:20241203T120958Z
LAST-MODIFIED:20241203T120958Z
UID:10064-1734096600-1734100200@crc326gaus.de
SUMMARY:Resolution of non-singularities and anabelian applications
DESCRIPTION:Emmanuel Lepage (IMJ Paris) \nAbstract: In various anabelian settings over p-adic fields\, one can reconstruct from the fundamental group of a hyperbolic curve the dual graph of the stable reduction of the curve\, and one can get more anabelian information on the curve by applying it to various finite étale covers. For each such finite étale cover\, this graph defines a retract of the analytic space associated to the curve (in the adic or Berkovich sense)\, and resolution of non-singularities predicts that the Berkovich space is homeomorphic to the inverse limit of all these retracts. This was proven in 2023 by Mochizuki and Tsujimura over finite extensions of Q_p. I will try to give a sketch of their proof and explain how to deduce a characterization of geometric Galois sections.
URL:https://crc326gaus.de/event/resolution-of-non-singularities-and-anabelian-applications/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Tim Holzschuh":MAILTO:tholzschuh@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241213T153000
DTEND;TZID=Europe/Berlin:20241213T170000
DTSTAMP:20260405T153356
CREATED:20241016T112848Z
LAST-MODIFIED:20241206T102319Z
UID:9358-1734103800-1734109200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Thomas Nikolaus (Universität Münster): (Relative) Prismatic cohomology\, K-Theory and Topology\nWe will explain the theory of relative prismatic cohomology (relative to a delta ring) and how this is an essential tool in computations of prismatic cohomology. If time allows we will exlain how this connects to K-Theory and other Homotopy-theoretically defined invariants (such as TP and TR) and to the relative de Rham Witt complex.  \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-17/
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:20241217T160000
DTEND;TZID=Europe/Berlin:20241217T170000
DTSTAMP:20260405T153356
CREATED:20241206T085241Z
LAST-MODIFIED:20241206T085728Z
UID:10101-1734451200-1734454800@crc326gaus.de
SUMMARY:p-adic higher Green's functions for Stark-Heegner Cycles
DESCRIPTION:International Seminar on Automorphic Forms \nHazem Hassan (McGill) \nHeegner Cycles are higher weight generalizations of Heegner points on Modular curves. As such\, one expects them to capture similar arithmetic and modular properties to Heegner points. The higher dimensional nature of Heegner cycles makes them less amenable to algebro-geometric and deformation theoretic approaches. I will introduce Stark-Heegner Cycles\, which are a conjectural analogue to Heegner Cycles in the theory of Real Multiplication. They are defined through p-adic analytic means. Then\, I will describe a p-adic pairing on these cycles which behaves as a local height pairing. When one of the cycles is principal\, the pairing computationally seems to produce algebraic integers living in class fields of real quadratic fields. \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/p-adic-higher-greens-functions-for-stark-heegner-cycles/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241220T110000
DTEND;TZID=Europe/Berlin:20241220T120000
DTSTAMP:20260405T153356
CREATED:20241112T144032Z
LAST-MODIFIED:20241202T084543Z
UID:9827-1734692400-1734696000@crc326gaus.de
SUMMARY:Euler characteristics of moduli of twisted sheaves on Enriques surfaces
DESCRIPTION:Weisheng Wang\, Utrecht Geometry Center (Utrecht University)
URL:https://crc326gaus.de/event/tba-128/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241220T133000
DTEND;TZID=Europe/Berlin:20241220T143000
DTSTAMP:20260405T153356
CREATED:20241211T131037Z
LAST-MODIFIED:20241211T131037Z
UID:10163-1734701400-1734705000@crc326gaus.de
SUMMARY:On local Galois deformation rings
DESCRIPTION:Julian Quast (Universität Duisburg-Essen) \nIn joint work with Vytautas Paškūnas\, we show that the universal framed\ndeformation ring of an arbitrary mod p representation of the absolute\nGalois group of a p-adic local field valued in a possibly disconnected\nreductive group G is flat\, local complete intersection and of the\nexpected dimension. In particular\, any such mod p representation has a\nlift to characteristic 0. The work extends results of Böckle\, Iyengar\nand Paškūnas in the case G=GL_n. We give an overview of the proof of\nthis main result.
URL:https://crc326gaus.de/event/on-local-galois-deformation-rings/
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:20241220T153000
DTEND;TZID=Europe/Berlin:20241220T170000
DTSTAMP:20260405T153356
CREATED:20241016T112937Z
LAST-MODIFIED:20241210T101446Z
UID:9359-1734708600-1734714000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Can Yaylali (TU Darmstadt): A^1-homotopy theory of rigid analytic spaces\nIn this talk\, I will report about work with Christian Dahlhausen (Heidelberg) on A^1-homotopy theory of rigid analytic spaces. The B^1-homotopy category has already been defined and studied by Ayoub and a full six-functor formalism was established by Ayoub-Gallauer-Vezzani. One drawback of the B^1-invariant theory is that analytic K-theory for rigid analytic spaces (as defined and studied by Kerz-Saito-Tamme) is not representable since it is not B^1-invariant. Thus we aim for an A^1-invariant version with coefficients in any presentable category. For the stable theory\, we can prove the existence of a partial six-functor formalism for analytifications of schemes and algebraic morphisms between them by using the results of Ayoub’s thesis. Furthermore\, using coefficients in condensed spectra\, we can represent analytic K-theory as the P^1-ring spectrum Z x BGL. If time permits I will also highlight some of the remaining questions. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-18/
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:20250109T141500
DTEND;TZID=Europe/Berlin:20250109T151500
DTSTAMP:20260405T153356
CREATED:20241126T121104Z
LAST-MODIFIED:20241126T121104Z
UID:10012-1736432100-1736435700@crc326gaus.de
SUMMARY:A new class of maximal hyperelliptic curves
DESCRIPTION:
URL:https://crc326gaus.de/event/a-new-class-of-maximal-hyperelliptic-curves/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250110T133000
DTEND;TZID=Europe/Berlin:20250110T143000
DTSTAMP:20260405T153356
CREATED:20250107T092335Z
LAST-MODIFIED:20250107T092335Z
UID:10358-1736515800-1736519400@crc326gaus.de
SUMMARY:Towards results on the anticyclotomic Iwasawa theory of modular forms at inert primes via diagonal classes
DESCRIPTION:Luca Marannino (IMJ-PRG Paris) \nIn this talk we outline an approach to the study of anticyclotomic Iwasawa theory of modular forms when the fixed prime p is inert in the relevant quadratic imaginary field. Following ideas of Castella-Do and Alonso-Castella-Rivero for the “p split” case\, one can envisage a construction of an anticyclotomic Euler system arising from a suitable manipulation of diagonal cycles (considered in previous works of Darmon-Rotger and Bertolini-Seveso-Venerucci). We will report on this work in progress\, trying to underline the main difficulties arising in the “p inert” setting.
URL:https://crc326gaus.de/event/towards-results-on-the-anticyclotomic-iwasawa-theory-of-modular-forms-at-inert-primes-via-diagonal-classes/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250114T160000
DTEND;TZID=Europe/Berlin:20250114T170000
DTSTAMP:20260405T153356
CREATED:20241016T114928Z
LAST-MODIFIED:20250113T074545Z
UID:9396-1736870400-1736874000@crc326gaus.de
SUMMARY:Counting and equidistribution
DESCRIPTION:International Seminar on Automorphic Forms \nYiannis Petridis (UCL): Counting and equidistribution \nI will discuss how counting orbits in hyperbolic spaces lead to interesting number theoretic problems. The counting problems (and the associated equidistribution) can be studied with various methods\, and I will emphasize automorphic form techniques\, originating in the work of H. Huber and studied extensively by A. Good. My collaborators is various aspects of this project are Chatzakos\, Lekkas\, Risager\, and Voskou. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-123/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T110000
DTEND;TZID=Europe/Berlin:20250117T120000
DTSTAMP:20260405T153356
CREATED:20250115T094515Z
LAST-MODIFIED:20250115T094515Z
UID:10430-1737111600-1737115200@crc326gaus.de
SUMMARY:Cones of Noether--Lefschetz divisors
DESCRIPTION:Dr. Brandon Williams\, Universität Heidelberg
URL:https://crc326gaus.de/event/cones-of-noether-lefschetz-divisors/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 10\, INF 205\, Heidelberg\, 69124\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T143000
DTEND;TZID=Europe/Berlin:20250117T153000
DTSTAMP:20260405T153356
CREATED:20241113T130950Z
LAST-MODIFIED:20250120T093006Z
UID:9836-1737124200-1737127800@crc326gaus.de
SUMMARY:The tropical 1-fold Abel-Prym map
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2024/25) \nGiusi Capobianco (Università di Roma Tor Vergata)\n\n\n\nAbstract: The algebraic Abel-Prym map relates the geometry of a double cover of algebraic curves with their corresponding Prym varieties. Birkenhake and Lange proved that the map has degree 2 if and only if the cover curve is hyperelliptic.\n\nIn the talk I will present joint work with Yoav Len\, in which we investigate the 1-fold Abel-Prym map in the tropical setting and prove similar results. I will describe a new combinatorial construction of hyperelliptic double covers of metric graphs and prove that the tropical Abel-Prym map is a harmonic morphism of degree 2.  Furthermore\, we will see that the Jacobian of the image of this map is isomorphic\, as pptav\, to the Prym variety of the cover. When the double cover is not hyperelliptic however\, contrary to the algebraic result\, the tropical Abel-Prym map is almost never injective. I will provide counterexamples and discuss its image.
URL:https://crc326gaus.de/event/tba-129/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T153000
DTEND;TZID=Europe/Berlin:20250117T170000
DTSTAMP:20260405T153356
CREATED:20241016T113027Z
LAST-MODIFIED:20250113T101756Z
UID:9360-1737127800-1737133200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Jens Eberhardt (Gutenberg Universität Mainz): K-motives and Local Langlands \nIn this talk\, we construct a geometric realization of the category of representations of the affine Hecke algebra and p-adic reductive groups.\nFor this\, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks.\nThe affine Hecke algebra arises from the K-theory of the Steinberg stack\, and we explain how to “categorify” this using K-motives. \nLastly\, we discuss applications of K-motives to the local geometric Langlands program. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-19/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250117T160000
DTEND;TZID=Europe/Berlin:20250117T170000
DTSTAMP:20260405T153356
CREATED:20241113T131043Z
LAST-MODIFIED:20250106T084617Z
UID:9838-1737129600-1737133200@crc326gaus.de
SUMMARY:Tree spaces in tropical geometry
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2024/25) \nShelby Cox (MPI Leipzig)\n\nAbstract: The space of phylogenetic trees on n leaves arises naturally in tropical geometry through the tropical Grassmannian trop Gr(2\,n). The space of equidistant trees on n leaves is the tropicalization of M_{0\,n}\, which is tropically convex. In this talk\, I will present recent work using tropical tree spaces for phylogenetic statistics and inference (joint with Curiel\, Sabol\, Talbut\, and Yoshida). I will also discuss a conjectural analogue of the space of equidistant trees for type C (joint with Igor Makhlin).
URL:https://crc326gaus.de/event/tba-130/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250121T160000
DTEND;TZID=Europe/Berlin:20250121T170000
DTSTAMP:20260405T153356
CREATED:20241016T115009Z
LAST-MODIFIED:20250113T074437Z
UID:9397-1737475200-1737478800@crc326gaus.de
SUMMARY:Kudla-Millson lift on the symmetric space of SL_N
DESCRIPTION:International Seminar on Automorphic Forms \nRomain Branchereau (McGill University): Kudla-Millson lift on the symmetric space of SL_N \nI will present a construction of a map from the homology in degree N-1 of locally symmetric spaces associated to SL_N\, to modular forms of weight N. The image of a cycle C by this map is a modular form whose Fourier coefficients are intersection numbers between C and a family of generalized modular symbols on the locally symmetric space. This map can be seen as a Kudla-Millson theta lift for the dual pair (SL_N\, SL_2) and also resembles a construction of Bergeron-Charollois-Garcia. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-124/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250124T110000
DTEND;TZID=Europe/Berlin:20250124T120000
DTSTAMP:20260405T153356
CREATED:20241202T131319Z
LAST-MODIFIED:20250117T132140Z
UID:10048-1737716400-1737720000@crc326gaus.de
SUMMARY:Cycles on the moduli space of abelian varieties
DESCRIPTION:Prof. Dr. Rahul Pandharipande\, Department of Mathematics\, ETH Zürich \nI will explain developments in the study of cycles on the moduli space of abelian varieties with connections to the moduli space of curves\, the cohomology of the Lagrangian Grassmannian\, modular forms\, and the quantum cohomology of the Hilbert scheme of points of the plane.
URL:https://crc326gaus.de/event/tba-136/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250124T133000
DTEND;TZID=Europe/Berlin:20250124T143000
DTSTAMP:20260405T153356
CREATED:20250110T134424Z
LAST-MODIFIED:20250110T134424Z
UID:10375-1737725400-1737729000@crc326gaus.de
SUMMARY:Abstract six-functor formalisms in Motivic Homotopy Theory
DESCRIPTION:Chirantan Chowdhury (TU Darmstadt) \nThe six functor formalism was formulated by Grothendieck to give a framework for the basic operations and duality statements for cohomology theories. In this talk\, I shall give an overview of abstract six-functor formalisms in the language of $\infty$-categories followed by its applications in the setting of Motivic Homotopy Theory. After introducing the setup\, we shall show how one can extend such formalism from smaller to larger categories (for e.g. : schemes to algebraic stacks). If time permits\, I would like to explain further extensions of such results to non-representable situations (joint work with Alessandro D’Angelo).
URL:https://crc326gaus.de/event/abstract-six-functor-formalisms-in-motivic-homotopy-theory/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Christian Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250124T153000
DTEND;TZID=Europe/Berlin:20250124T170000
DTSTAMP:20260405T153356
CREATED:20241016T113122Z
LAST-MODIFIED:20250108T091826Z
UID:9361-1737732600-1737738000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Maximilian Hauck (MPIM Bonn): Stacks in the p-adic Hodge theory of formal schemes \nI will briefly review the stacky approach to p-adic cohomology theories due to Bhatt–Lurie and Drinfeld using a new view on the filtered prismatisation recently found by Gardner–Madapusi. Then I will show how to use these tools to obtain a new proof of the Beilinson fibre square of Antieau–Mathew–Morrow–Nikolaus and a generalisation of a comparison theorem between rational arithmetic étale cohomology and crystalline cohomology of Colmez–Niziol. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-20/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250128T160000
DTEND;TZID=Europe/Berlin:20250128T170000
DTSTAMP:20260405T153356
CREATED:20241016T115059Z
LAST-MODIFIED:20250120T090118Z
UID:9406-1738080000-1738083600@crc326gaus.de
SUMMARY:Uniform Non-vanishing of Hilbert Modular L-values
DESCRIPTION:International Seminar on Automorphic Forms \nLiyang Yang (Princeton University):  Uniform Non-vanishing of Hilbert Modular L-values \nLet ℱ(k\,q) be the set of normalized Hilbert newforms of weight k and prime level q. In this talk\, we will present a uniform positive proportion of #{π∈ℱ(k\,q):L(1/2\,π)≠0} as #ℱ(k\,q)→+∞. This is joint work with Zhining Wei and Shifan Zhao. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-125/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T133000
DTEND;TZID=Europe/Berlin:20250131T143000
DTSTAMP:20260405T153356
CREATED:20250124T134541Z
LAST-MODIFIED:20250124T134541Z
UID:10496-1738330200-1738333800@crc326gaus.de
SUMMARY:Multivariable Lubin–Tate Fontaine equivalence
DESCRIPTION:Nataniel Marquis (IMJ Paris) \nIn 1991 J.-M. Fontaine proved an equivalence between continuons representations of $\mathcal{G}_{\mathbb{Q}_p}$ of finite type over $\mathbb{Z}_p$ and the category of étale $(\varphi\,\Gamma)$-modules over the ring of fonctions on a ghost circle. Recent developments in the mod $p$ Langlands program encouraged the search for similar equivalences for modules over multivariable rings. Work by Z\’abr\’adi and Carter-Kedlaya-Z\’abr\’adi fulfilled part of this expectation by establishing an equivalence between representations of finite products of $\mathcal{G}_{\mathbb{Q}_p}$ and multivariable cyclotomic $(\varphi\,\Gamma)$-modules. \nThe first goal of this talk is to sketch a proof of a Lubin-Tate variant for a $p$-adic local field $K$. Namely\, for a finite set $\Delta$\, we obtain an equivalence between continuous representations of $\prod_{\Delta} \mathcal{G}_K$ and a category called the étale $(\Phi_{\Delta\, q}\times \Gamma_{\Delta\,K\,\lt})$-modules over $\mathcal{O}_{\mathcal{E}_{K\,\Delta}}$ with finite projective dévissage. On the way to characterise the essential image of the functor $\mathbb{D}_{\Delta\,\lt}$\, we will explain which properties of finite type representations over $\mathbb{Z}_p$ are preserved by a Fontaine type functor. This will allow to give a theorem similar to the structure of finite type $\mathbb{Z}_p$-modules for the underlying $\mathcal{O}_{\mathcal{E}_{K\,\Delta}}$ appearing in the previous equivalence. Finally\, we will motivate how Lubin-Tate multivariable $(\varphi\,\Gamma)$-modules should be more useful than cyclotomic ones to obtain a Colmez functor for $\gl{n}{K}$.
URL:https://crc326gaus.de/event/multivariable-lubin-tate-fontaine-equivalence/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T140000
DTEND;TZID=Europe/Berlin:20250131T150000
DTSTAMP:20260405T153356
CREATED:20241202T131756Z
LAST-MODIFIED:20250124T133848Z
UID:10050-1738332000-1738335600@crc326gaus.de
SUMMARY:Tropical correspondence theorems for plane curve counts over arbitrary fields
DESCRIPTION:Jr.-Prof. Dr. Sabrina Pauli  (TU Darmstadt) \nWe study the problem of counting rational curves of fixed degree on a toric del Pezzo surface subject to point conditions. Over algebraically closed fields\, this count is invariant under the choice of point conditions. Over non-algebraically closed fields\, however\, the invariance fails. For real numbers\, Welschinger’s groundbreaking work introduced a signed count of real curves that restores invariance. \nBuilding on this\, Levine and Kass-Levine-Solomon-Wickelgren have developed curve counts over arbitrary fields that not only generalize Welschinger’s signed counts and classical counts over algebraically closed fields\, but also encode much richer arithmetic information. \nIn this talk I will survey these different approaches to counting rational curves with point conditions and discuss a recent joint result with A. Jaramillo Puentes\, H. Markwig\, and F. Röhrle. We establish a tropical correspondence theorem for curve counts over arbitrary fields\, identifying the count of algebraic curves with point conditions with a weighted count of their tropical counterparts with point conditions. The latter are combinatorial objects and there are several purely combinatorial methods to find all tropical curves with point conditions. \n 
URL:https://crc326gaus.de/event/tba-137/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250131T153000
DTEND;TZID=Europe/Berlin:20250131T170000
DTSTAMP:20260405T153356
CREATED:20241016T113218Z
LAST-MODIFIED:20250123T135133Z
UID:9362-1738337400-1738342800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Paul Siemon (TU Darmstadt): Stacks of parabolic vector bundles and Katz’s middle convolution algorithm\nI will discuss the geometry of the cuspidal locus inside stacks of parabolic vector bundles occurring in the tamely ramified geometric Langlands program. I will focus on the example of the stack of rank 2 bundles on the projective line with ramification at four points. Finally\, I will outline how the considerations in this example could extend to other situations using Katz’s middle convolution algorithm. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-21/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250204T160000
DTEND;TZID=Europe/Berlin:20250204T170000
DTSTAMP:20260405T153356
CREATED:20241016T114840Z
LAST-MODIFIED:20250123T082958Z
UID:9395-1738684800-1738688400@crc326gaus.de
SUMMARY:Lifting of Maass forms to O(1\,8n+1) and applications to the sup-norm problem
DESCRIPTION:International Seminar on Automorphic Forms \nAmeya Pitale (University of Oklahoma): Lifting of Maass forms to O(1\,8n+1) and applications to the sup-norm problem \nIn a joint paper with Yingkun Li and Hiroaki Narita\, we had constructed liftings from Maass forms with respect to SL_2(Z) to Maass forms on O(1\,8n+1)\, which violated the Generalized Ramanujan conjecture. These were constructed via Borcherds theta lifts and we were able to give explicit formulas for their Fourier coefficients. In a recent joint work with Simon Marshall and Hiroaki Narita\, we first computed the Petersson inner product of the lift using the Rallis inner product formula. This essentially involves an archimedean integral computation. These are usually very complicated and intractable\, but in this case we are able to get an exact formula for the Petersson norm. Explicit formulas for the Fourier coefficients and Petersson norm are the essential ingredients of one of the approaches to obtain sup-norm bounds on these Maass forms. Investigations regarding sup-norm bounds for modular forms in the GL(2) case has been recently a very active area of research. Using the method mentioned above\, as well as a pre-trace formula approach\, we obtain the first sup-norm bounds results for these orthogonal groups. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-122/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250206T141500
DTEND;TZID=Europe/Berlin:20250206T151500
DTSTAMP:20260405T153356
CREATED:20241126T121251Z
LAST-MODIFIED:20250128T081437Z
UID:10016-1738851300-1738854900@crc326gaus.de
SUMMARY:Pro-étale Q_p-cohomology of rigid analytic spaces
DESCRIPTION:Arthur-César Le Bras (Strasbourg) \nAbstract: The pro-étale Q_p-cohomology of rigid analytic spaces exhibits surprising features. I would like to explain a joint work with Johannes Anschütz and Lucas Mann which provides a conceptual explanation for these phenomena.
URL:https://crc326gaus.de/event/tba-135/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR