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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250603T160000
DTEND;TZID=Europe/Berlin:20250603T170000
DTSTAMP:20260424T095315
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:20260424T095315
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:20260424T095315
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
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250613T133000
DTEND;TZID=Europe/Berlin:20250613T143000
DTSTAMP:20260424T095315
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:20260424T095315
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:20260424T095315
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:20260424T095315
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:20260424T095315
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
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