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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231004T160000
DTEND;TZID=Europe/Berlin:20231004T170000
DTSTAMP:20260531T151217
CREATED:20230705T082631Z
LAST-MODIFIED:20231211T122037Z
UID:6081-1696435200-1696438800@crc326gaus.de
SUMMARY:Spherical Tropicalization and Berkovich Analytic Groups
DESCRIPTION:Oberseminar Algebra und Geometrie \nDesmond Coles (Univ. of Texas\, Austin) \nAbstract: Tropicalization is the process by which algebraic varieties are assigned a “combinatorial shadow”. I will review the notion of tropicalization of a toric variety and recent work on extending this to spherical varieties. I will then present how one can construct a deformation retraction from the Berkovich analytification of a spherical variety to its tropicalization.
URL:https://crc326gaus.de/event/tba-49/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231020T133000
DTEND;TZID=Europe/Berlin:20231020T150000
DTSTAMP:20260531T151217
CREATED:20231006T142742Z
LAST-MODIFIED:20231006T142742Z
UID:6347-1697808600-1697814000@crc326gaus.de
SUMMARY:Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
DESCRIPTION:Prof. Dr. Chun Yin Hui (University of Hongkong ) \nGiven a compatible system {rho_lambda : Gal_K to GL_n(E_lambda)}_lambda of semisimple lambda-adic representations of a number field K satisfying mild local conditions\, we prove that for almost all lambda any type A irreducible subrepresentation of rho_lambda otimes overline Q_ell  is residually irreducible.\nWe apply this result and some potential automorphy theorem to\nprove that rho_ lambda otimes overline Q_ell is residually irreducible for\nalmost all lambda if the compatible system is attached to a regular algebraic\, polarized\, cuspidal automorphic representation of GL_n(A_Q) and n leq 6. \n 
URL:https://crc326gaus.de/event/monodromy-of-subrepresentations-and-irreducibility-of-low-degree-automorphic-galois-representations/
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:20231020T153000
DTEND;TZID=Europe/Berlin:20231020T170000
DTSTAMP:20260531T151217
CREATED:20231009T122541Z
LAST-MODIFIED:20231013T122119Z
UID:6424-1697815800-1697821200@crc326gaus.de
SUMMARY:On a C_2-equivariant Gabber lemma
DESCRIPTION:Seminar on Arithmetic Geometry \nTom Bachmann (University of Mainz) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-73/
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:20231024T160000
DTEND;TZID=Europe/Berlin:20231024T170000
DTSTAMP:20260531T151217
CREATED:20231009T101116Z
LAST-MODIFIED:20231219T123018Z
UID:6398-1698163200-1698166800@crc326gaus.de
SUMMARY:Siegel modular forms and higher algebraic cycles
DESCRIPTION:International Seminar on Automorphic Forms \nAleksander Horawa (University of Oxford) \nAbstract: In recent work with Kartik Prasanna\, we propose an explicit relationship between the cohomology of vector bundles on Siegel modular threefolds and higher Chow groups (aka motivic cohomology groups). For Yoshida lifts of Hilbert modular forms\, we use a result of Ramakrishnan to prove our conjecture. For Yoshida lifts of Bianchi modular forms\, we show that our conjecture implies the conjecture of Prasanna—Venkatesh. \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/siegel-modular-forms-and-higher-algebraic-cycles/
LOCATION:Online
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231025T160000
DTEND;TZID=Europe/Berlin:20231025T170000
DTSTAMP:20260531T151217
CREATED:20230626T061112Z
LAST-MODIFIED:20231123T135106Z
UID:5977-1698249600-1698253200@crc326gaus.de
SUMMARY:Various implications of the Nagao-Mestre sum
DESCRIPTION:Oberseminar Algebra und Geometrie \nSeoyoung Kim (Universität Göttingen) \nIn 1965\, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank $r$ of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges\, then the limit equals $-r+1/2$\, and study the connections to the Riemann hypothesis for E. We also relate this to Nagao’s conjecture. Furthermore\, we discuss a generalization of the above results for the Selberg classes and hence (conjecturally) for larger classes of  $L$-functions.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231026T141500
DTEND;TZID=Europe/Berlin:20231026T151500
DTSTAMP:20260531T151217
CREATED:20230928T084916Z
LAST-MODIFIED:20231019T121430Z
UID:6277-1698329700-1698333300@crc326gaus.de
SUMMARY:Motivic cohomology of mixed characteristic schemes
DESCRIPTION:Tess Bouis (Université Paris-Saclay) \nAbstract:\nI will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular\, it is non-A1-invariant in general\, but it recovers classical motivic cohomology on smooth schemes over a Dedekind domain after A1-localisation. The construction relies on the syntomic cohomology of Bhatt-Morrow-Scholze and the cdh-local motivic cohomology of Bachmann-Elmanto-Morrow\, and generalises the construction of Elmanto-Morrow in the case of schemes over a field. \nZoom: \nMeeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-51/
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:20231027T153000
DTEND;TZID=Europe/Berlin:20231027T170000
DTSTAMP:20260531T151217
CREATED:20231009T123010Z
LAST-MODIFIED:20231017T080114Z
UID:6427-1698420600-1698426000@crc326gaus.de
SUMMARY:Equivariant localization theorems
DESCRIPTION:Seminar on Arithmetic Geometry \nCharanya Ravi (Indian Statistical Institute\, Bangalore Centre) \nThe classical Atiyah-Bott localization theorem in equivariant singular cohomology is one of the primary computational tools in enumerative geometry when the relevant parameter space has a natural torus action. The theorem asserts that the equivariant cohomology of a space with group action can be recovered\, up to inversion of some elements\, from the equivariant cohomology of the fixed point subspace. To understand various moduli problems\, there is a need to access general parameter spaces (singular and stacky) and to produce refined counts (in different cohomology theories). \nThis talk will first discuss a unified Atiyah-Bott localization theorem for equivariant Borel-Moore homology theories of algebraic stacks. We will then discuss a categorified version of the result which allows us to deduce the theorem for all oriented theories (cohomology and Borel-Moore homology). The talk is based on joint works with Dhyan Aranha\, Adeel Khan\, Alyosha Latyntsev\, and Hyeonjun Park. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-74/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231031T160000
DTEND;TZID=Europe/Berlin:20231031T170000
DTSTAMP:20260531T151217
CREATED:20231009T103943Z
LAST-MODIFIED:20231026T064356Z
UID:6401-1698768000-1698771600@crc326gaus.de
SUMMARY:Arithmeticity of modular forms on G_2
DESCRIPTION:International Seminar on Automorphic Forms \nAaron Pollack (University of California San Diego) \nHolomorphic modular forms on Hermitian tube domains have a good notion of Fourier expansion and Fourier coefficients. These Fourier coefficients give the holomorphic modular forms an arithmetic structure: there is a basis of the space of holomorphic modular forms for which all Fourier coefficients of all elements of the basis are algebraic numbers. The group G_2 does not have an associated Shimura variety\, but nevertheless there is a class of automorphic functions on G_2 which possess a semi-classical Fourier expansion\, called the quaternionic modular forms. I will explain the proof that (in even weight at least 6) the cuspidal quaternionic modular forms possess an arithmetic structure\, defined in terms of Fourier coefficients. \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-62/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
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