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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230424T140000
DTEND;TZID=Europe/Berlin:20230424T153000
DTSTAMP:20260404T145752
CREATED:20230417T120528Z
LAST-MODIFIED:20230417T124953Z
UID:5478-1682344800-1682350200@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Georg Tamme (Uni Mainz): Filtrations and endomorphisms via stacks \nMain references: [Bhatt\, Section 2.2.1 and 2.2.2]\, [BL1\, App. D]\, and\n[Mou].\n(1) Explain quotient stacks of a scheme by a functor of groups\, see for instance\n[Kha\, Section 4.4\, in particular Theorem 4.28]8.\n(2) Explain the notion of a graded and a filtered derived category. Explain\ncompleteness\, canonical and stupid filtration\, mention its symmetric monoidal structure without defining precisely what a symmetric monoidal\nstructure is9\, and explain the standard and the Beilinson t-structure.\n3(3) Introduce the quotient stack A1=Gm\, explain that it classifies generalized\nCartier divisors\, see [Bhatt\, 2.2.5] or [KhRy\, 3.2].\n(4) Formulate and prove [Bhatt\, 2.2.6 + 2.2.8].\n(5) Explain Gca and V\(E) for a vector bundle E.\n(6) Explain [Bhatt\, 2.2.12 + 2.2.13] without going too much into detail although it would be nice to see\, where \characteristic zero” is needed.\n(7) If time permits\, explain [Bhatt\, 2.2.14 { 2.2.16].\n(8) In any case\, explain [Bhatt\, 2.2.17]. \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002
URL:https://crc326gaus.de/event/prismatization-2/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230420T151500
DTEND;TZID=Europe/Berlin:20230420T174500
DTSTAMP:20260404T145752
CREATED:20230316T132703Z
LAST-MODIFIED:20230419T075707Z
UID:5079-1682003700-1682012700@crc326gaus.de
SUMMARY:Bridgeland stability conditions and applications
DESCRIPTION:Talk 1: J. Chen (Goethe University Frankfurt): Introduction \nTalk 2: Y. M. Wong (Goethe University Frankfurt): Triangulated categories \n 
URL:https://crc326gaus.de/event/bridgeland-stability-conditions-and-applications/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230420T093000
DTEND;TZID=Europe/Berlin:20230420T110000
DTSTAMP:20260404T145752
CREATED:20230425T142409Z
LAST-MODIFIED:20230425T142542Z
UID:5642-1681983000-1681988400@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Talk 1: Marius Leonhardt (Universität Heidelberg): Introduction
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230418T160000
DTEND;TZID=Europe/Berlin:20230418T170000
DTSTAMP:20260404T145752
CREATED:20230412T102513Z
LAST-MODIFIED:20230412T102513Z
UID:5367-1681833600-1681837200@crc326gaus.de
SUMMARY:On quasimodular forms associated to projective representations of symmetric groups
DESCRIPTION:International Seminar on Automorphic Forms \nWe explain how one can naturally associate a quasimodular form to a representation of a symmetric group. We determine its growth and explain how this construction is applied to several problems in enumerative geometry. Finally\, we discuss the difference between linear and projective representations. This is based on joint work with Adrien Sauvaget. \nJan-Willem van Ittersum (MPIM Bonn) \nYou can join the Zoom meeting at https://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/on-quasimodular-forms-associated-to-projective-representations-of-symmetric-groups/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230418T140000
DTEND;TZID=Europe/Berlin:20230418T160000
DTSTAMP:20260404T145752
CREATED:20230419T123404Z
LAST-MODIFIED:20230427T143237Z
UID:5568-1681826400-1681833600@crc326gaus.de
SUMMARY:Arithmetic theta series from CM cycles
DESCRIPTION:Seminar: Non-archimedean geometry \nLucas Gerth (Universität Frankfurt) \nAbstract: We study arithmetic analogues of theta series. Given a simplectic vector space V and a Schwartz function f on V\, there is a collection of cycles Z(n\,f)\, consisting of CM points\, on the Siegel modular variety. Assuming that f satisfies a strong regular semisimple condition at some prime p\, we show that the generating series of the degrees of the cycles Z(n\,f) is a modular form\, We identify it explicitly with a classical theta series for a quaternion unitary similitude group. The proof relies on the p-adic uniformization of the supersingular locus on the Siegel modular variety.
URL:https://crc326gaus.de/event/arithmetic-theta-series-from-cm-cycles/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 308
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Annette Werner":MAILTO:werner[at]math.uni-frankfurt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230417T141500
DTEND;TZID=Europe/Berlin:20230417T154500
DTSTAMP:20260404T145752
CREATED:20230415T054904Z
LAST-MODIFIED:20230417T124924Z
UID:5432-1681740900-1681746300@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Andreas Gieringer: Animated rings \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002
URL:https://crc326gaus.de/event/prismatization/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230414T080000
DTEND;TZID=Europe/Berlin:20230414T170000
DTSTAMP:20260404T145752
CREATED:20230414T122725Z
LAST-MODIFIED:20230414T122725Z
UID:5391-1681459200-1681491600@crc326gaus.de
SUMMARY:tba
DESCRIPTION:International Seminar on Automorphic Forms \nSachi Hashimoto (MPI Leipzig) \nYou can join the Zoom meeting at https://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-39/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20230322
DTEND;VALUE=DATE:20230325
DTSTAMP:20260404T145752
CREATED:20230217T094303Z
LAST-MODIFIED:20230308T133304Z
UID:4883-1679443200-1679702399@crc326gaus.de
SUMMARY:Moduli of Shtukas and Gross-Zagier formulas
DESCRIPTION:
URL:https://crc326gaus.de/event/moduli-of-shtukas-and-gross-zagier-formulas/
LOCATION:Darmstadt and Zoom
CATEGORIES:GAUS-Workshop
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20230306
DTEND;VALUE=DATE:20230318
DTSTAMP:20260404T145752
CREATED:20220908T065534Z
LAST-MODIFIED:20221102T195327Z
UID:3510-1678060800-1679097599@crc326gaus.de
SUMMARY:Spring School on: Non-archimedean Geometry and eigenvarieties
DESCRIPTION:Families of p-adic automorphic forms are well studied objects of arithmetic geometry since the pioneering work of Hida and Coleman. Their study resulted in the definition of geometric objects\, called eigenvarieties\, that parametrize systems of Hecke eigenvalues of p-adic automorphic forms. Conversely\, the rich geometry of these varieties gives insights about p-adic (and thereby also about classical) automorphic forms. Recent techniques from perfectoid geometry\, locally analytic representation theory and the point of view of the p-adic Langlands program give new insights and impulses. \nThe spring school will give an introduction to both p-adic automorphic forms and eigenvarieties as well as the necessary background in p-adic analytic geometry. The courses will be complemented by research talks that will focus on recent developments in the area. \nThe first week of the spring school will focus on p-adic analytic geometry\, the analogue of complex analytic geometry over p-adic base fields. We will study classical rigid analytic spaces from the point of view of adic spaces and introduce perfectoid spaces. The second week will focus on p-adic automorphic forms and eigenvarieties. We will introduce and compare several approaches to p-adic automorphic forms.
URL:https://crc326gaus.de/event/spring-school-on-non-archimedean-geometry-and-eigenvarieties/
LOCATION:Heidelberg\, Mathematikon\, SR tba
CATEGORIES:GAUS-Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230227T090000
DTEND;TZID=Europe/Berlin:20230301T170000
DTSTAMP:20260404T145752
CREATED:20230123T081903Z
LAST-MODIFIED:20231010T080823Z
UID:4764-1677488400-1677690000@crc326gaus.de
SUMMARY:Condensed Mathematics and K-Theory
DESCRIPTION:In the last decade\, the systematic study of continuous and analytic K-theory of non archimedean rings and spaces led to several groundbreaking results in algebraic K-theory. On the other hand\, the existing definitions and constructions of the K-theory of non archimedean rings are unsatisfying from a conceptual point of view. A promising new approach is to use the language of condensed mathematics. \nThe goal of this mini-workshop is to bring together researchers working in K-theory\, condensed mathematics\, or related fields with the goal of exchanging ideas and identifying open questions for future research. \n 
URL:https://crc326gaus.de/event/condensed-mathematics-and-k-theory/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Workshop
ORGANIZER;CN="Christian Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20230222
DTEND;VALUE=DATE:20230225
DTSTAMP:20260404T145752
CREATED:20220912T114903Z
LAST-MODIFIED:20221205T143403Z
UID:3519-1677024000-1677283199@crc326gaus.de
SUMMARY:Logarithmic geometry and moduli spaces
DESCRIPTION:
URL:https://crc326gaus.de/event/logarithmic-geometry-and-moduli-spaces/
LOCATION:Frankfurt am Main
CATEGORIES:GAUS-Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230217T153000
DTEND;TZID=Europe/Berlin:20230217T170000
DTSTAMP:20260404T145752
CREATED:20230210T142141Z
LAST-MODIFIED:20230210T142141Z
UID:4869-1676647800-1676653200@crc326gaus.de
SUMMARY:Local Weight-Monodromy Conjecture
DESCRIPTION:Bogdan Zavyalov (Institute of Advanced Studies\, Princeton) \nAbstract: Let X be a smooth and proper variety over a local field K. Then the etale  cohomology groups H^i(X_C\, Q_ell) admit the natural weight and monodromy filtrations. The weight-monodromy conjecture predicts that these two filtrations coincide up to a shift. \nRecently\, P. Scholze proved this conjecture for set-theoretic complete intersections\ninside the projective space using the theory of perfectoid spaces. \nAlternatively\, one can formulate a (local) version of the weight-monodromy\nconjecture for the nearby cycles. We will give a precise formulation of this\nconjecture and prove it in some cases following the strategy of Scholze in the global case. \nJoint work with David Hansen. \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/local-weight-monodromy-conjecture/
LOCATION:Zoom
CATEGORIES:GAUS-Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230210T153000
DTEND;TZID=Europe/Berlin:20230210T170000
DTSTAMP:20260404T145752
CREATED:20230130T121955Z
LAST-MODIFIED:20230130T121955Z
UID:4814-1676043000-1676048400@crc326gaus.de
SUMMARY:Revisiting derived crystalline cohomology
DESCRIPTION:Seminar Arithmetic Geometry \nZhouhang Mao (Paris) \nProjectively generated ∞-categories and left derived functors turn out to be important in derived geometry. In this talk\, we will present the result of the ∞-category of surjections  of animated rings being projectively generated\, the notion of animated PD-pairs —  surjections of animated rings with a “derived” PD-structure\, and how to use these tools to study the crystalline and prismatic cohomology. In particular\, we will deduce various comparison theorems without finiteness conditions. \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/revisiting-derived-crystalline-cohomology/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230209T163000
DTEND;TZID=Europe/Berlin:20230209T173000
DTSTAMP:20260404T145752
CREATED:20230207T113337Z
LAST-MODIFIED:20230207T113412Z
UID:4860-1675960200-1675963800@crc326gaus.de
SUMMARY:„MATH+ as a Research Object"
DESCRIPTION:Frauen sind in der Mathematik weiterhin unterrepräsentiert. Trotz in den letzten Jahren steigender Frauenanteile zu Beginn des Studiums\, nimmt der Anteil an Wissenschaftlerinnen bis hin zur Professur noch immer kontinuierlich ab. Das Bild der sogenannten Leaky Pipeline besitzt somit weiterhin Gültigkeit. \nDas soziologische Forschungsprojekt „MATH+ as a Research Object“\, wurde durch den mathematischen Exzellenzcluster MATH+ in Berlin initiiert. Ziel des Projekts ist es\, die Reproduktionsmechanismen für möglicherweise bestehende Geschlechterdisparitäten im Exzellenzcluster aufzuzeigen und wissenschaftlich basierte Hinweise für die Überwindung dieser Disparitäten in der Mathematik im Allgemeinen und im Cluster im Speziellen zu generieren. \nDie zentralen Fragen der Studie lauten: \nZeigen sich in der Rekrutierung und Unterstützung\, in der Gestaltung sozialer Beziehungen oder in den Arbeitsstrukturen im Cluster Geschlechterdisparitäten?\nWie sind diese Disparitäten verfasst und wie kann man ihnen entgegenwirken?\nWelche impliziten Geschlechterungleichheit fördernden Muster wirken in der Disziplin Mathematik selbst?\nWelche Faktoren entscheiden darüber\, ob (insbesondere weibliche) Wissenschaftler*innen in der Wissenschaft bleiben oder sie verlassen? \nIn dem Vortrag wird Dr. Anna-Christin Ransiek aus der Arbeitsgruppe „Gender Studies in der Mathematik“ der Freien Universität Berlin das Projekt und erste Befunde der Studie vorstellen. \n\nVor dem Vortrag gibt es ab 16 Uhr eine Kaffeepause in S2|15-244
URL:https://crc326gaus.de/event/math-as-a-research-object/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-Event
ORGANIZER;CN="Catrin Mair":MAILTO:catrin.mairqtu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230209T140000
DTEND;TZID=Europe/Berlin:20230209T153000
DTSTAMP:20260404T145752
CREATED:20220929T120649Z
LAST-MODIFIED:20230201T121210Z
UID:3650-1675951200-1675956600@crc326gaus.de
SUMMARY:Buildings
DESCRIPTION:Timo Richarz (TU Darmstadt): Algebraic loop groups and their flag varieties \nAbstract: Loop groups and their associated flag varieties naturally occur in geometric approaches to the Langlands program. Prominent examples include so-called affine Grassmannians. In this talk I give an introduction to the topic focussing on algebro-geometric aspects and relations with Bruhat-Tits theory.
URL:https://crc326gaus.de/event/tba-18/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230207T160000
DTEND;TZID=Europe/Berlin:20230207T170000
DTSTAMP:20260404T145752
CREATED:20221108T132317Z
LAST-MODIFIED:20230130T121438Z
UID:4216-1675785600-1675789200@crc326gaus.de
SUMMARY:Asymptotic equidistribution for partition statistics and topological invariants
DESCRIPTION:International Seminar on Automorphic Forms \nThroughout mathematics\, the equidistribution properties of certain objects are a central  theme studied by many authors. In my talk I am going to speak about a joint project with William Craig and Joshua Males\, where we provide a general framework for proving asymptotic equidistribution\, convexity\, and log-concavity of coefficients of generating functions on arithmetic progressions. \nGiulia Cesana (University of Cologne) \nYou can join the Zoom meeting at https://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/international-seminar-on-automorphic-forms-tba-11/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230207T140000
DTEND;TZID=Europe/Berlin:20230207T170000
DTSTAMP:20260404T145752
CREATED:20221026T124619Z
LAST-MODIFIED:20230124T084832Z
UID:3943-1675778400-1675789200@crc326gaus.de
SUMMARY:Moduli of Langlands parameters
DESCRIPTION:Jean-François Dat (Sorbonne Université\, Paris): Finiteness of Hecke algebras \nTalk 13 (14:00-15:30): Finiteness of Hecke algebras\nThe first goal of the talk is to give an introduction to Fargues-Scholze’s theory of local excursion algebras. Along with previous results covered in the seminar\, these will then be used to deduce finiteness results for Hecke algebras of p-adic groups. \nTalk 14 (16:00-17:00): Second adjointness\nThe goal of this talk is to deduce and explain certain consequences of\nthe finiteness results from the previous talk\, including second\nadjointness. \nZoom: Meeting-ID: 61220727363 \nPassword: largest six digit prime
URL:https://crc326gaus.de/event/moduli-of-langlands-parameters-finiteness-of-hecke-algebras/
LOCATION:Zoom
CATEGORIES:GAUS-AG
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230207T111500
DTEND;TZID=Europe/Berlin:20230207T124500
DTSTAMP:20260404T145752
CREATED:20230125T144952Z
LAST-MODIFIED:20230125T144952Z
UID:4801-1675768500-1675773900@crc326gaus.de
SUMMARY:K-theory of the integers and the Kummer-Vandiver conjecture
DESCRIPTION:Lorenzo Mantovani: Suspended Tits buildings\nGeorg Tamme: K4(Z) is the trivial group \nTalk 9: Suspended Tits buildings (07.02. Lorenzo Mantovani)\nThis talk covers the results of [Rog00\, §5\, §6]. Explain the explicit identifications of the poset rank filtration and its subquotients for stable apartments [Prop. 5.1\, Prop. 5.4]. Introduce Tits buildings and explain the relation between the Tits buildings of a PID and its fraction field [Lem. 6.1]. Maybe arrange with the subsequent talk’s speaker to cover some material from [§7] in order to alleviate their job.\nTalk 10: K4(Z) is the trivial group (07.02. Georg Tamme)\nThis talks covers the results of [Rog00\, §7\, §8]. Introduce the component filtration of stable\nbuldings [Def. 7.1] and explain (as much as time permits) the associated spectral sequence\nE1 s\,t = Ht(GLk(R); Zs) ⇒ Hs+t( ̄Fk K(R)). Finally\, explain what we can conclude about the rank filtration spectral sequence for K(Z) modulo the Serre subcategory of finite 2-groups [(8.4)]. Compute the low degrees of the spectrum homology H∗(K(Z)) of the spectrum K(Z) [Thm. 8.5] and subsequently the vanishing of K4(Z) [Thm. 8.6].
URL:https://crc326gaus.de/event/k-theory-of-the-integers-and-the-kummer-vandiver-conjecture-10/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230206T150000
DTEND;TZID=Europe/Berlin:20230206T173000
DTSTAMP:20260404T145752
CREATED:20230131T145759Z
LAST-MODIFIED:20230201T124708Z
UID:4821-1675695600-1675704600@crc326gaus.de
SUMMARY:The geometry of coherent sheaves: From derived categories to Higgs bundles
DESCRIPTION:GAUS-Workshop: “Invariants and curve counting” \n15:00-16:00: Luca Battistella (Frankfurt):\nLogarithmic and orbifold Gromov-Witten invariants\nAbstract: Logarithmic Gromov-Witten theory can be thought of as the study of curves in open manifolds\, or\, in other words\, curves with tangency conditions to a boundary divisor. When the divisor is smooth\, several techniques have been developed to compute the invariants\, most notably orbifold stable maps. When the divisor is normal crossings\, on the other hand\, the logarithmic theory remains hardly accessible. The strategy of rank reduction\, i.e. looking at the components of the boundary one at a time\, is more directly applicable to other theories than the logarithmic one (as shown in Nabijou-Ranganathan and B.-Nabijou-Tseng-You) due to tropical obstructions. Inspired by one of the distinguishing features of the logarithmic theory – namely\, birational invariance [Abramovich-Wise] – in joint work with Nabijou and Ranganathan we show that\, when the genus is zero\, tropical obstructions can be disposed of by blowing up the target sufficiently. The slogan is that the logarithmic theory is the limit orbifold theory under birational modifications along the boundary divisor. If time permits I will discuss work in progress towards understanding negative contact. \n16:20-17:20: Georg Oberdieck (Stockholm):\nPandharipande-Thomas theory of elliptic threefolds and Jacobi forms\nAbstract: Pandharipande-Thomas theory is the study of the intersection theory of the moduli space of stable pairs of a threefold. The intersection numbers\, called Pandharipande-Thomas invariants\, may be viewed as counting curves on the threefold subject to given incidence conditions. In this talk we explore the properties of the generating series of Pandharipande-Thomas invariants of elliptically fibered threefolds. There will be two main conjectures: Quasi-Jacobi Property and Holomorphic Anomaly Equations. Together these essentially determine the modular properties of the generating series. The conjectures are motivated by the case of Calabi-Yau threefolds where by mirror symmetry computations Huang-Katz-Klemm conjectured that the series of PT invariants are Jacobi forms. I discuss several examples\, in particular the equivariant geometry of K3xA^1. Here the conjectures lead to explicit new formulas for the invariants. Based on joint work with Maximilian Schimpf.
URL:https://crc326gaus.de/event/invariants-and-curve-counting/
LOCATION:Frankfurt\, Hilbertraum\, Rober-Mayer-Str. 6-8\, Raum 302
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T164500
DTEND;TZID=Europe/Berlin:20230203T174500
DTSTAMP:20260404T145752
CREATED:20221205T121408Z
LAST-MODIFIED:20230124T140817Z
UID:4503-1675442700-1675446300@crc326gaus.de
SUMMARY:Universality for tropical maps
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nNavid Nabijou (University of Cambridge) \nAbstract: I will discuss recent work concerning maps from tropical curves to orthants. A “combinatorial type” of such map is the data of an abstract graph together with slope vectors along the edges. To each such combinatorial type there is an associated moduli space\, which parametrises metric enhancements of the graph compatible with the given slopes. This moduli space is a rational polyhedral cone\, giving rise to an affine toric variety.\nOur main result shows that every rational polyhedral cone appears as the moduli space associated to some combinatorial type of tropical map. This establishes universality (also known as Murphy’s law) for tropical maps. The proof is constructive and extremely concrete\, as I will demonstrate. Combined with insights from logarithmic geometry\, our result implies that every toric singularity appears as a virtual singularity on a moduli space of stable logarithmic maps. \n\n\nThis is joint work with Gabriel Corrigan and Dan Simms.
URL:https://crc326gaus.de/event/tba-34/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T153000
DTEND;TZID=Europe/Berlin:20230203T163000
DTSTAMP:20260404T145752
CREATED:20221205T120951Z
LAST-MODIFIED:20230125T132340Z
UID:4496-1675438200-1675441800@crc326gaus.de
SUMMARY:Polyhedral models for K-theory
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nLeonid Monin (Universität Leipzig) \nAbstract: One can associate a commutative\, graded algebra which satisfies Poincare duality to a homogeneous polynomial f on a vector space V. One particularly interesting example of this construction is when f is the volume polynomial on a suitable space of (virtual) polytopes. In this case the algebra A_f recovers cohomology rings of toric or flag varieties. \nIn my talk I will explain these results and present their recent generalizations. In particular\, I will explain how to associate an algebra with Gorenstein duality to any function g on a lattice L. In the case when g is the Ehrhart function on a lattice of integer (virtual) polytopes\, this construction recovers K-theory of toric and full flag varieties.
URL:https://crc326gaus.de/event/tba-33/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T140000
DTEND;TZID=Europe/Berlin:20230203T150000
DTSTAMP:20260404T145752
CREATED:20221205T120737Z
LAST-MODIFIED:20230123T134644Z
UID:4484-1675432800-1675436400@crc326gaus.de
SUMMARY:Linear degenerate tropical flag matroids
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2022/23) \nVictoria Schleis (Universität Tübingen) \nAbstract: Grassmannians and flag varieties are important moduli spaces in algebraic geometry. Their linear degenerations arise in representation theory as they describe quiver representations and their irreducible modules. As linear degenerations of flag varieties are difficult to analyze algebraically\, we describe them in a combinatorial setting and further investigate their tropical counterparts. \nIn this talk\, I will introduce matroidal\, polyhedral and tropical analoga and descriptions of linear degenerate flags and their varieties obtained in joint work with Alessio Borzì. To this end\, we introduce and study morphisms of valuated matroids. Using techniques from matroid theory\, polyhedral geometry and linear tropical geometry\, we use the correspondences between the different descriptions to gain insight on the structure of linear degeneration. Further\, we analyze the structure of linear degenerate flag varieties in all three settings\, and provide some cover relations on the poset of degenerations. For small examples\, we relate the observations on cover relations to the flat irreducible locus studied in representation theory.
URL:https://crc326gaus.de/event/tba-32/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230203T133000
DTEND;TZID=Europe/Berlin:20230203T150000
DTSTAMP:20260404T145752
CREATED:20221214T130418Z
LAST-MODIFIED:20221214T130418Z
UID:4629-1675431000-1675436400@crc326gaus.de
SUMMARY:Integrality of smoothed p-adic Artin L-functions
DESCRIPTION:Bence Forrás (Universität Duisburg-Essen) \nAbstract: We introduce a smoothed version of the equivariant S-truncated p-adic Artin L-function for one-dimensional admissible p-adic Lie extensions of number fields. Integrality of this smoothed p-adic L-function\, conjectured by Greenberg\, has been verified for pro-p extensions (assuming the Equivariant Iwasawa Main Conjecture) as well as p-abelian extensions (unconditionally). Integrality in the general case is also expected to hold\, and is the subject of ongoing research.
URL:https://crc326gaus.de/event/integrality-of-smoothed-p-adic-artin-l-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230202T140000
DTEND;TZID=Europe/Berlin:20230202T160000
DTSTAMP:20260404T145752
CREATED:20221116T085643Z
LAST-MODIFIED:20230116T081424Z
UID:4326-1675346400-1675353600@crc326gaus.de
SUMMARY:Toroidal b-divisors and applications in differential and arithmetic geometry
DESCRIPTION:Ana Botero (Regensburg) \nWe define toroidal b-divisors on a quasi projective variety over a field. These can be seen as conical functions on a balanced polyhedral space. We show the existence of an intersection pairing for so called nef toroidal b-divisors\, which gives rise to a Monge-Ampére type measure on the polyhedral space. Moreover\, using the theory of Okounkov bodies\, we show that a Hilbert-Samuel type formula holds in this setting. We then show some applications of this theory. First\, we show some Chern-Weil type formulae for singular semi-positive metrics on line bundles. Then\, using the Hilbert-Samuel formula\, we compute asymptotic dimension formulae of spaces of automorphic forms on mixed Shimura varieties.
URL:https://crc326gaus.de/event/tba-30/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230131T160000
DTEND;TZID=Europe/Berlin:20230131T170000
DTSTAMP:20260404T145752
CREATED:20221108T132141Z
LAST-MODIFIED:20230124T083330Z
UID:4214-1675180800-1675184400@crc326gaus.de
SUMMARY:Continuity and value distribution of quantum modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nSandro Bettin (University of Genova) \nQuantum modular forms are functions f defined on the rationals whose period functions\, such as ψ(x):= f(x) – x-k f(-1/x) (for level 1)\, satisfy some continuity properties. In the case of k=0\, f can be interpreted as a Birkhoff sums associated with the Gauss map. In particular\, under mild hypotheses on G\, one can show convergence to a stable law. If k is non-zero\, the situation is rather different and we can show that mild conditions on psi imply that f itself has to exhibit some continuity property. Finally\, we discuss the convergence in distribution also in this case. This is a joint work with Sary Drappeau. \nYou can join the Zoom meeting at https://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/international-seminar-on-automorphic-forms-tba-10/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230131T140000
DTEND;TZID=Europe/Berlin:20230131T153000
DTSTAMP:20260404T145752
CREATED:20220929T120115Z
LAST-MODIFIED:20230109T085525Z
UID:3644-1675173600-1675179000@crc326gaus.de
SUMMARY:Buildings
DESCRIPTION:Johannes Horn (Goethe University): Langton’s theorem \nYou can join the Zoom meeting at \nhttps://uni-frankfurt.zoom.us/j/62173091959?pwd=eVFsaE5ndm1hVGdXQk5XTHZKWHBRZz09
URL:https://crc326gaus.de/event/tba-15/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 110 und Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230131T111500
DTEND;TZID=Europe/Berlin:20230131T124500
DTSTAMP:20260404T145752
CREATED:20221214T131530Z
LAST-MODIFIED:20230125T125920Z
UID:4637-1675163700-1675169100@crc326gaus.de
SUMMARY:K-theory of the integers and the Kummer-Vandiver conjecture
DESCRIPTION:Christian Dahlhausen: The spectrum level rank filration \nThis talk covers the results [Rog00\, §1–§4] whose proofs rely on [Rog92\, §1–9]. First recall some relevant notions from topology which are needed. Introduce the rank filtration F• K(R) on the algebraic K-theory spectrum K(R) of a ring R and relate its subquotients ̄F• K(R) with the relative smash product of the universal bundle EGL•(R) with the stable building D(R•) over GL•(R) R [Prop. 2.2]. In order to understand better the second component D(R•) introduce the poset filtration on it [Def. 3.1] and then relate the subquotients of this filtration with the relative smash product of GL•(R)/Pω with the subquotients on the poset filtration on stable apartments [Prop. 4.2] which will be analysed in the subsequent talk.
URL:https://crc326gaus.de/event/k-theory-of-the-integers-and-the-kummer-vandiver-conjecture-9/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230127T153000
DTEND;TZID=Europe/Berlin:20230127T170000
DTSTAMP:20260404T145752
CREATED:20230124T110110Z
LAST-MODIFIED:20230124T114322Z
UID:4781-1674833400-1674838800@crc326gaus.de
SUMMARY:Motives of moduli of bundles on curves
DESCRIPTION:Seminar Arithmetic Geometry \nSimon Pepin Lehalleur (Radboud-Universiteit Nijmegen) \nAbstract: (Joint with Victoria Hoskins\, Nijmegen) Moduli spaces and stacks of bundles on smooth projective curves are basic objects of algebraic geometry and part of the geometric set-up of the Langlands program for function fields. Their cohomology is well understood in some ways and still very mysterious in others. After some recollections on Voevodsky\nmotives\, I will present several results about the motives of the moduli stack of vector bundles and the moduli spaces of semistable Higgs bundles\, expressing them in terms of the motives of powers of the base curve. I will then explain how this can combined with constructions of Maulik-Shen to prove a motivic version of the “topological mirror symmetry” connecting moduli spaces of SL_n and PGL_n-Higgs bundles. \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime) \n 
URL:https://crc326gaus.de/event/motives-of-moduli-of-bundles-on-curves/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230127T133000
DTEND;TZID=Europe/Berlin:20230127T150000
DTSTAMP:20260404T145752
CREATED:20230118T155149Z
LAST-MODIFIED:20230124T142517Z
UID:4758-1674826200-1674831600@crc326gaus.de
SUMMARY:Automorphisms of categories of schemes
DESCRIPTION:Remy van Dobben de Bruyn (Universität Utrecht) \nAbstract: Given two schemes S and S’\, we show that any equivalence between Sch/S and Sch/S’ comes from a unique isomorphism between S and S’. In particular\, the category of schemes does not have any nontrivial automorphisms. This eliminates all Noetherian and finite type hypotheses from a result of Mochizuki\, and answers a series of questions of Brandenburg. The methods are analogous to those in anabelian geometry (but easier)\, and this talk also serves as an introduction to those ideas for non-experts. \n 
URL:https://crc326gaus.de/event/automorphisms-of-categories-of-schemes/
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:20230126T151500
DTEND;TZID=Europe/Berlin:20230126T174500
DTSTAMP:20260404T145752
CREATED:20221004T125839Z
LAST-MODIFIED:20230116T130839Z
UID:3713-1674746100-1674755100@crc326gaus.de
SUMMARY:Non-hypergeometric E-functions
DESCRIPTION:15:15-16:15:  Mingkuan Zhang (TU Darmstadt): A non-hypergeometric E-operator\n16:45-17:45:  Javier Fresán (École Polytechnique): E-functions and geometry (final talk)
URL:https://crc326gaus.de/event/non-hypergeometric-e-functions-5/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
END:VEVENT
END:VCALENDAR