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DTSTART;TZID=Europe/Berlin:20251107T153000
DTEND;TZID=Europe/Berlin:20251107T170000
DTSTAMP:20260424T013038
CREATED:20250915T103631Z
LAST-MODIFIED:20251024T130422Z
UID:11623-1762529400-1762534800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Fei Ren (Bergische Universität Wuppertal): Coherent Six-Functor Formalisms: Pro vs Solid \nIn the classical theory for coherent sheaves\, the only missing piece in the Grothendieck\nsix-functor formalism picture is j! for an open immersion j. Towards fixing this gap\, Deligne\nprovided a construction of j! by extending the sheaf class to pro sheaves\, while Clausen-\nScholze provided another solution by extending the sheaf class to solid modules.\nIn this talk\, I will explain how Deligne’s construction coincides with the Clausen-Scholze construction via a natural functor\, whose restriction to the full subcategory of Mittag-Leffler pro-systems is fully faithful. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-071125/
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:20251118T150000
DTEND;TZID=Europe/Berlin:20251118T160000
DTSTAMP:20260424T013038
CREATED:20251020T075708Z
LAST-MODIFIED:20251111T070605Z
UID:11986-1763478000-1763481600@crc326gaus.de
SUMMARY:The Gross-Zagier formula on singular moduli for Shimura curves
DESCRIPTION:International Seminar on Automorphic Forms \nAndrew Phillips (College of Idaho): The Gross-Zagier formula on singular moduli for Shimura curves \nThe Gross-Zagier formula on singular moduli\, which gives a formula for the prime factorization of differences of j-values\, can be seen as a calculation of the intersection multiplicity of two CM divisors on the integral model of a modular curve. We will discuss a generalization of this result to a Shimura curve. \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-145/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251121T153000
DTEND;TZID=Europe/Berlin:20251121T170000
DTSTAMP:20260424T013038
CREATED:20250915T103808Z
LAST-MODIFIED:20251024T130535Z
UID:11627-1763739000-1763744400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Ioannis Zachos (University Münster): On integral models for some ramified unitary Shimura varieties \nLocal models of Shimura varieties are projective flat schemes over the spectrum of a discrete valuation ring. The importance of local models lies in the fact that under some assumptions they model the singularities that arise in the reduction modulo p of Shimura varieties. In this talk\, we will first introduce the notion of local models and certain variants of them for some ramified unitary Shimura varieties. Building on this\, we will resolve the singularities of these models\, leading to regular integral models for the corresponding Shimura varieties. In the end we will discuss the Bruhat-Tits stratification of the associated Rapoport-Zink spaces. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-211125/
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:20251125T150000
DTEND;TZID=Europe/Berlin:20251125T160000
DTSTAMP:20260424T013038
CREATED:20251020T075830Z
LAST-MODIFIED:20251121T074726Z
UID:11985-1764082800-1764086400@crc326gaus.de
SUMMARY:Refined equidistribution of Hecke points and cryptography
DESCRIPTION:International Seminar on Automorphic Forms \nRadu Toma ( Institut de mathémathiques de Jussieu): Refined equidistribution of Hecke points and cryptography \nA classic theorem states that\, fixing a Euclidean lattice L\, its sublattices of large index equidistribute in the space of lattices. The literature leaves open the question: how does the rate of equidistribution depend on L? In joint work with de Boer\, Page\, and Wesolowski\, we answer this using automorphic theory and geometry of numbers. Motivated by lattice-based cryptography\, we apply the result to show that a computational problem called SIVP is as hard for Haar random module lattices as it is in the worst case. \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-146/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251128T153000
DTEND;TZID=Europe/Berlin:20251128T170000
DTSTAMP:20260424T013038
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
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