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PRODID:-//CRC 326 - GAUS - ECPv6.0.8//NONSGML v1.0//EN
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X-ORIGINAL-URL:https://crc326gaus.de
X-WR-CALDESC:Events for CRC 326 - GAUS
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TZID:Europe/Berlin
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TZOFFSETFROM:+0100
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DTSTART:20230326T010000
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DTSTART:20231029T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230206T150000
DTEND;TZID=Europe/Berlin:20230206T173000
DTSTAMP:20230204T000239
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
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230207T111500
DTEND;TZID=Europe/Berlin:20230207T124500
DTSTAMP:20230204T000239
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:20230207T140000
DTEND;TZID=Europe/Berlin:20230207T170000
DTSTAMP:20230204T000239
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%20B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230207T160000
DTEND;TZID=Europe/Berlin:20230207T170000
DTSTAMP:20230204T000239
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%20Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230209T140000
DTEND;TZID=Europe/Berlin:20230209T153000
DTSTAMP:20230204T000239
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:20230210T153000
DTEND;TZID=Europe/Berlin:20230210T170000
DTSTAMP:20230204T000239
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 âˆž-categories and left derived functors turn out to be important in derived geometry. In this talk\, we will present the result of the âˆž-category of surjections of animated rings being projectively generated\, the notion of animated PD-pairs â€” surjections of animated rings with a â€œderivedâ€ 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;VALUE=DATE:20230222
DTEND;VALUE=DATE:20230225
DTSTAMP:20230204T000239
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:20230227T090000
DTEND;TZID=Europe/Berlin:20230301T170000
DTSTAMP:20230204T000239
CREATED:20230123T081903Z
LAST-MODIFIED:20230123T082312Z
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\, Raum 05-426
CATEGORIES:GAUS-Workshop
ORGANIZER;CN="Christian%20Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20230306
DTEND;VALUE=DATE:20230318
DTSTAMP:20230204T000239
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
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