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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230523T140000
DTEND;TZID=Europe/Berlin:20230523T160000
DTSTAMP:20260404T012513
CREATED:20230502T084529Z
LAST-MODIFIED:20230519T150512Z
UID:5705-1684850400-1684857600@crc326gaus.de
SUMMARY:Prismatic F-crystals associated with strongly divisible modules
DESCRIPTION:Seminar: Non-archimedean geometry \nMatti Würthen (Universität Frankfurt) \nAbstract: The talk will be about the relationship between two different categories associated with the category of lattices in crystalline representations with small Hodge-Tate weights. In particular\, I will explain how to attach a prismatic Frobenius crystal to a (crystalline) strongly divisible module.\nTime permitting\, I will also sketch how this can be extended to higher dimensions.
URL:https://crc326gaus.de/event/tba-55/
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:20230523T133000
DTEND;TZID=Europe/Berlin:20230523T150000
DTSTAMP:20260404T012513
CREATED:20230505T105745Z
LAST-MODIFIED:20230505T105745Z
UID:5742-1684848600-1684854000@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Gebhard Böckle: Vectorial Drinfeld modular forms \nOur fifth talk is to start investigating VDMFs as well as discussing their several propertieswhich will be later used to reveal some applications for Drinfeld modular forms. They areweak VDMFs corresponding to a certain character with a regularity condition introduced in[PP18\, Def. 3.4(2)]. After defining VDMFs\, we revisit the deformation of Eisenstein seriesand prove [PP18\, Prop. 3.7] which gives the Fourier expansion of their each entry (see also[Pel12\, Lem. 21]). An equivalent condition for the regularity [PP18\, Cor. 2.6] should alsobe analyzed. Later on\, we introduce the function F discussed in the previous talk and showthat it is indeed not a VDMF in the sense of [PP18]. The final goal is to prove [PP18\, Thm.3.9] which allows one to decompose a certain space of VDMFs into components generatedby an Eisenstein series E1 and its twist\, the image of E1 under the q-th power Frobenius\nautomorphism of T.
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-5/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230522T140000
DTEND;TZID=Europe/Berlin:20230522T153000
DTSTAMP:20260404T012513
CREATED:20230417T121739Z
LAST-MODIFIED:20230511T124335Z
UID:5493-1684764000-1684769400@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Patrick Bieker:  G# a and GdR \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002
URL:https://crc326gaus.de/event/prismatization-5/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230517T131500
DTEND;TZID=Europe/Berlin:20230517T170000
DTSTAMP:20260404T012513
CREATED:20230404T124505Z
LAST-MODIFIED:20230511T130017Z
UID:5310-1684329300-1684342800@crc326gaus.de
SUMMARY:Superconnections\, Theta series and period domains
DESCRIPTION:Superconnections \nMingkuan Zhang (TU Darmstadt)\n \nZoom meeting ID 667 3384 5311 \nPassword on request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains-2/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230516T160000
DTEND;TZID=Europe/Berlin:20230516T170000
DTSTAMP:20260404T012513
CREATED:20230414T122931Z
LAST-MODIFIED:20230508T083903Z
UID:5393-1684252800-1684256400@crc326gaus.de
SUMMARY:Endoscopy for GSp(4) and rational points on elliptic curves
DESCRIPTION:International Seminar on Automorphic Forms \nI report on a joint project with M. Bertolini \, M.A. Seveso and R. Venerucci\, aimed at studying the equivariant BSD conjecture for rational elliptic curves twisted by certain self-dual 4-dimensional Artin representations in situations of odd analytic rank. We use the endoscopy for GSp(4) to construct Selmer classes related to the relevant (complex and p-adic) L-values via explicit reciprocity laws.  \nFabrizio Andreatta (University of Milan) \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-40/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230516T133000
DTEND;TZID=Europe/Berlin:20230516T150000
DTSTAMP:20260404T012513
CREATED:20230505T105520Z
LAST-MODIFIED:20230511T134601Z
UID:5740-1684243800-1684249200@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Alireza Shavali Kohshor: Special values of L-functions \n 
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-4/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="O%C4%9Fuz Gezmi%C5%9F":MAILTO:oguz.gezmis@iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230515T140000
DTEND;TZID=Europe/Berlin:20230515T153000
DTSTAMP:20260404T012513
CREATED:20230417T121541Z
LAST-MODIFIED:20230511T124257Z
UID:5491-1684159200-1684164600@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Rizacan  Ciloglu (TU Darmstadt): Warm-Up: De Rham cohomology in characteristik 0 \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002 \n 
URL:https://crc326gaus.de/event/prismatization-4/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230512T133000
DTEND;TZID=Europe/Berlin:20230512T150000
DTSTAMP:20260404T012513
CREATED:20230505T131942Z
LAST-MODIFIED:20230505T131942Z
UID:5748-1683898200-1683903600@crc326gaus.de
SUMMARY:A quadratically refined tropical Bézout theorem
DESCRIPTION:Sabrina Pauli (Düsseldorf) \nAbstract: Results from motivic homotopy theory allow to study questions in enumerative geometry over an arbitrary field k. In this case the answer to these questions is not a number but a quadratic form carrying arithmetic information about the count. Using tropical geometry one can translate questions from enumerative geometry to questions in combinatorics which are often easier to solve. In my talk I will present one of the first examples of how to use tropical geometry for questions in enumerative geometry over an arbitrary field k\, namely a proof of Bézout’s theorem for tropical curves. This is joint work with Andrés Jaramillo Puentes. \n 
URL:https://crc326gaus.de/event/a-quadratically-refined-tropical-bezout-theorem/
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:20230511T140000
DTEND;TZID=Europe/Berlin:20230511T160000
DTSTAMP:20260404T012513
CREATED:20230417T071727Z
LAST-MODIFIED:20230427T120413Z
UID:5436-1683813600-1683820800@crc326gaus.de
SUMMARY:Algebraicity and p-adic interpolation of critical Hecke L-values
DESCRIPTION:Johannes Sprang (Essen) \nAbstract: Euler’s beautiful formula on the values of the Riemann zeta function at the positive even integers can be seen as the starting point of the investigation of special values of L-functions. In particular\, Euler’s result shows that all critical zeta values are rational up to multiplication with a particular period\, here the period is a power of 2πi. Conjecturally this is expected to hold for all critical L-values of motives. In this talk\, I will explain a joint result with Guido Kings on the algebraicity of critical Hecke L-values up to explicit periods for totally imaginary fields. If time permits\, I will discuss the construction of p-adic L-functions for such fields as an application.
URL:https://crc326gaus.de/event/tba-48/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230510T164500
DTEND;TZID=Europe/Berlin:20230510T180000
DTSTAMP:20260404T012513
CREATED:20230419T065010Z
LAST-MODIFIED:20231115T130317Z
UID:5557-1683737100-1683741600@crc326gaus.de
SUMMARY:Tropical perspectives in enumerative geometry
DESCRIPTION:Frankfurter Seminar – Kolloquium des Instituts für Mathematik \nRenzo Cavalieri (Colorado State University\, Fort Collins) \nAbstract: Enumerative geometry is an ancient branch of mathematics that aims to count the number of geometric objects that satisfy some constrains: the primordial enumerative geometric statement is that there is a unique straight line that passes through two distinct points in a plane. While enumerative geometric questions are often easy to state\, the attempts to answer them have both employed and spurred the development of several mathematical techniques.\nThis talk will be a broad and hopefully friendly survey of how tropical geometry has become an important actor for several enumerative problems especially related to counting curves. I will use Hurwitz theory as the running example\, and show how tropical geometry provides us not only with an interesting approach to classical Hurwitz theory\, but also allows us to define „new“ enumerative problems of Hurwitz type. Much of the work presented has been collaborative work with Paul Johnson\, Hannah Markwig\, Dhruv Ranganathan and Johannes Schmitt.
URL:https://crc326gaus.de/event/tropical-perspectives-in-enumerative-geometry/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230510T131500
DTEND;TZID=Europe/Berlin:20230510T144500
DTSTAMP:20260404T012513
CREATED:20230404T122437Z
LAST-MODIFIED:20230510T113937Z
UID:5306-1683724500-1683729900@crc326gaus.de
SUMMARY:Superconnections\, Theta series and period domains
DESCRIPTION:Some classical results of Kudla and Millson. \nFabian Scherf \nZoom meeting ID 667 3384 5311 \nPassword in request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230509T160000
DTEND;TZID=Europe/Berlin:20230509T170000
DTSTAMP:20260404T012513
CREATED:20230505T150422Z
LAST-MODIFIED:20230505T150422Z
UID:5750-1683648000-1683651600@crc326gaus.de
SUMMARY:p-adic Gross-Zagier and rational points on modular curves
DESCRIPTION:International Seminar on Automorphic Forms \nSachi Hashimoto (MPI Leipzig) \nFaltings’ theorem states that there are finitely many rational points on a nice projective curve defined over the rationals of genus at least 2. The quadratic Chabauty method makes explicit some cases of Faltings’ theorem. Quadratic Chabauty has recent notable success in determining the rational points of some modular curves. In this talk\, I will explain how we can leverage information from p-adic Gross-Zagier formulas to give a new quadratic Chabauty method for certain modular curves. Gross-Zagier formulas relate analytic quantities (special values of p-adic L-functions) to invariants of algebraic cycles (the p-adic height and logarithm of Heegner points). By using p-adic Gross-Zagier formulas\, this new quadratic Chabauty method makes essential use of modular forms to determine rational points.  \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/p-adic-gross-zagier-and-rational-points-on-modular-curves-2/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230509T140000
DTEND;TZID=Europe/Berlin:20230509T160000
DTSTAMP:20260404T012513
CREATED:20230425T110303Z
LAST-MODIFIED:20230508T084428Z
UID:5619-1683640800-1683648000@crc326gaus.de
SUMMARY:Comparison of tame and log-étale cohomology
DESCRIPTION:Seminar: Non-archimedean geometry \nAmine Koubaa (Universität Frankfurt) \nAbstract:\nGiven a regular scheme $X$ and a normal crossing divisor $D$ one may concider two different cohomology groups.\nThe first one is the log étale cohomology developed by Illusie\, K. Kato and many others: We associate a logarithmic structure $M$ to $X$ and define the log étale site over $(X\,M)$.The second one is the tame cohomology developed by Hübner and Schmidt. Here we consider the tame site over the discretely ringed adic space $Spa(X\backslash D\,X)$. Tame morphisms are those which are étale and induce at most tamely ramified extension on the valuations.We construct a comparison morphism between these cohomology groups and prove that they are equal for schemes over $\mathbb{F}_p$ and locally constant finite sheaves once we assume resolution of singularities.“
URL:https://crc326gaus.de/event/comparison-of-tame-and-log-etale-cohomology-copy/
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:20230509T133000
DTEND;TZID=Europe/Berlin:20230509T150000
DTSTAMP:20260404T012513
CREATED:20230505T105251Z
LAST-MODIFIED:20230505T105251Z
UID:5737-1683639000-1683644400@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Paola Francesca Chilla: Introduction to weak vectorial Drinfeld modular forms \nOur goal in this talk is to introduce weak vectorial Drinfeld modular forms which will\nhave a crucial role to determine special values of Goss L-functions. We need to emphasize\nthat VDMFs given in [Pel12\, Def. 12] are indeed seen as weak VDMFs in [PP18\, Def. 3.4].\nThroughout the seminar\, we will borrow this terminology and call them weak VDMFs. Our\nmain goal for the talk is to analyze the C∞-vector spaces of a certain subclass of weak\nVDMFs studied in [Pel12]. The talk will start with basic definitions. Later on we prove\n[Pel12\, Lem. 13] which indeed implies that one dimensional weak VDMFs corresponding to\nthe trivial representation 1 are nothing but weak Drinfeld modular forms tensored with T.\nThis will imply that the space of Drinfeld modular forms tensored with T is equal to the\nspace of VDMFs corresponding to 1. Thus one needs to focus on the higher dimension case\nto produce non-trivial examples. For this aim\, we define the functions F and F∗ given in\n[Pel12\, §2.2\, 2.3]\, which are examples of weak VDMFs of dimension two constructed by using\nAnderson generating functions. We also define the deformation of the Eisenstein series. We will finalize the talk with a sketch of the proof of [Pel12\, Prop. 19]. The main references are[Pel12\, §1\,2] and [Pel14\, §2\,3]
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-3/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230508T140000
DTEND;TZID=Europe/Berlin:20230508T153000
DTSTAMP:20260404T012513
CREATED:20230417T120709Z
LAST-MODIFIED:20230417T125018Z
UID:5485-1683554400-1683559800@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Tom Bachmann (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-3/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T164500
DTEND;TZID=Europe/Berlin:20230505T174500
DTSTAMP:20260404T012513
CREATED:20230403T131339Z
LAST-MODIFIED:20230418T125134Z
UID:5293-1683305100-1683308700@crc326gaus.de
SUMMARY:Tropical functions on skeletons: a finiteness result
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nAntoine Ducros (Sorbonne Université\, Paris) \nAbstract: Skeletons are subsets of non-archimedean spaces (in the sense of Berkovich) that inherit from the ambiant space a natural PL (piecewise-linear) structure\, and if S is such a skeleton\, for every invertible holomorphic function f defined in a neighborhood of S\, the restriction of log |f| to S is PL.\nIn this talk\, I will present a joint work with E.Hrushovski F. Loeser and J. Ye in which we consider an irreducible algebraic variety X over an algebraically closed\, non-trivially valued and complete non-archimedean field k\, and a skeleton S of the analytification of X defined using only algebraic functions\, and consisting of Zariski-generic points. If f is a non-zero rational function on X then log |f| induces a PL function on S\, and if we denote by E the group of all PL functions on S that are of this form\, we  prove the following finiteness result on the group E: it is stable under min and max\, and there exist finitely many non-zero rational functions f_1\,…f_m on X such that E is generated\, as a group equipped with min and max operators\, by the log |f_i| and the constants |a| for a in k^*. Our proof makes a crucial use of Hrushovski-Loeser’s model-theoretic approach of Berkovich spaces. \n 
URL:https://crc326gaus.de/event/tba-36/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T153000
DTEND;TZID=Europe/Berlin:20230505T163000
DTSTAMP:20260404T012513
CREATED:20230417T120646Z
LAST-MODIFIED:20230510T075032Z
UID:5483-1683300600-1683304200@crc326gaus.de
SUMMARY:Tropical spin Hurwitz numbers
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nLou-Jean Cobigo (Universität Tübingen) \nAbstract: Classical Hurwitz numbers count the number of branched covers of a fixed target curve that exhibit a certain ramification behaviour. It is an enumerative problem deeply rooted in mathematical history.\nA modern twist: Spin Hurwitz numbers were introduced by Eskin-Okounkov-Pandharipande for certain computations in the moduli space of differentials on a Riemann surface.\nSimilarly to Hurwitz numbers they are defined as a weighted count of branched coverings of a smooth algebraic curve with fixed degree and branching profile. In addition\, they include information about the lift of a theta characteristic of fixed parity on the base curve. \nIn this talk we investigate them from a tropical point of view. We start by defining tropical spin Hurwitz numbers as result of an algebraic degeneration procedure\, but soon notice that these have a natural place in the tropical world as tropical covers with tropical theta characteristics on source and target curve.\nOur main results are two correspondence theorems stating the equality of the tropical spin Hurwitz number with the classical one.
URL:https://crc326gaus.de/event/tba-copy/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T140000
DTEND;TZID=Europe/Berlin:20230505T150000
DTSTAMP:20260404T012513
CREATED:20230417T120432Z
LAST-MODIFIED:20230419T065259Z
UID:5481-1683295200-1683298800@crc326gaus.de
SUMMARY:The SYZ conjecture for families of hypersurfaces
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nLéonard Pille-Schneider (ENS\, Paris) \nAbstract: Let X -> D* be a polarized family of complex Calabi-Yau manifolds\, whose complex structure degenerates in the worst possible way. The SYZ conjecture predicts that the fibers X_t\, as t ->0\, degenerate to a tropical object; and in particular the program of Kontsevich and Soibelman relates it to the Berkovich analytification of X\, viewed as a variety over the non-archimedean field of complex Laurent series.\nI will explain the ideas of this program and some recent progress in the case of hypersurfaces.
URL:https://crc326gaus.de/event/tba-50/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T133000
DTEND;TZID=Europe/Berlin:20230505T150000
DTSTAMP:20260404T012513
CREATED:20230428T094800Z
LAST-MODIFIED:20230428T095023Z
UID:5688-1683293400-1683298800@crc326gaus.de
SUMMARY:p-adic Gross--Zagier and rational points on modular curves
DESCRIPTION:Faltings’ theorem states that there are finitely many rational points on a nice projective curve defined over the rationals of genus at least 2. The quadratic Chabauty method makes explicit some cases of Faltings’ theorem. Quadratic Chabauty has recent notable success in determining the rational points of some modular curves. In this talk\, I will explain how we can leverage information from p-adic Gross–Zagier formulas to give a new quadratic Chabauty method for certain modular curves. Gross–Zagier formulas relate analytic quantities (special values of p-adic L-functions) to invariants of algebraic cycles (the p-adic height and logarithm of Heegner points). By using p-adic Gross–Zagier formulas\, this new quadratic Chabauty method makes essential use of modular forms to determine rational points.
URL:https://crc326gaus.de/event/p-adic-gross-zagier-and-rational-points-on-modular-curves/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Marius Leonhardt":MAILTO:mleonhardt@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230504T151500
DTEND;TZID=Europe/Berlin:20230504T174500
DTSTAMP:20260404T012513
CREATED:20230329T113602Z
LAST-MODIFIED:20230426T070008Z
UID:5238-1683213300-1683222300@crc326gaus.de
SUMMARY:Bridgeland stability conditions and applications
DESCRIPTION:Talk 3: Y. Kleibrink (GU Frankfurt): Derived categories of coherent sheaves \nTalk 4: A. Kuhrs (GU Frankfurt): Stability in abelian categories \n 
URL:https://crc326gaus.de/event/bridgeland-stability-conditions-and-applications-2/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230504T141500
DTEND;TZID=Europe/Berlin:20230504T151500
DTSTAMP:20260404T012513
CREATED:20230321T081945Z
LAST-MODIFIED:20230427T120536Z
UID:5118-1683209700-1683213300@crc326gaus.de
SUMMARY:A p-Adic 6-Functor Formalism on Rigid-Analytic Varieties
DESCRIPTION:Lucas Mann (Münster) \nAbstract: Using Clausen-Scholze’s theory of condensed mathematics\, we construct a full 6-functor formalism for p-adic sheaves on rigid-analytic varieties. As a special case of this formalism we obtain Poincaré duality for the étale F_p-cohomology of smooth proper rigid-analytic varieties. By applying the formalism to classifying stacks of p-adic groups\, we obtain new insights into the p-adic Langlands program.
URL:https://crc326gaus.de/event/tba-31/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230504T093000
DTEND;TZID=Europe/Berlin:20230504T110000
DTSTAMP:20260404T012513
CREATED:20230425T143014Z
LAST-MODIFIED:20230425T143014Z
UID:5648-1683192600-1683198000@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Talk 3: Alessandro Cobbe (Universität Heidelberg): Inverse image with compact support
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality-3/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230502T160000
DTEND;TZID=Europe/Berlin:20230502T170000
DTSTAMP:20260404T012513
CREATED:20230414T122518Z
LAST-MODIFIED:20230418T115845Z
UID:5389-1683043200-1683046800@crc326gaus.de
SUMMARY:Mass equidistribution for Saito-Kurokawa lifts
DESCRIPTION:International Seminar on Automorphic Forms \nAbhishek Saha (Queen Mary University of London) \nThe Quantum Unique Ergodicity (QUE) conjecture was proved in the classical case for Maass forms of full level in the eigenvalue aspect by Lindenstrauss and Soundararajan\, and for holomorphic forms in the weight aspect by Holowinsky and Soundararajan. In this talk\, I will discuss some joint work with Jesse Jaasaari and Steve Lester on the analogue of the QUE conjecture in the weight aspect for holomorphic Siegel cusp forms of degree 2 and full level. Assuming the Generalized Riemann Hypothesis (GRH) we establish QUE for Saito–Kurokawa lifts as the weight tends to infinity. As an application\, we prove the equidistribution of zero divisors of Saito-Kurokawa lifts. \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-38/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230502T140000
DTEND;TZID=Europe/Berlin:20230502T160000
DTSTAMP:20260404T012513
CREATED:20230419T124643Z
LAST-MODIFIED:20230427T143433Z
UID:5582-1683036000-1683043200@crc326gaus.de
SUMMARY:Gluing sheaves along Harder-Narasimhan strata of Bun_2
DESCRIPTION:Seminar: Non-archimedean geometry \nJonathan Miles (Universität Frankfurt) \nAbstract: We compute some examples of gluing sheaves on the moduli stack of rank 2 vector bundles on the Fargues-Fontaine curve. In the case of prime-to-p torsion coefficients\, the category D_ét(Bun_G) can be thought of as an approximation of the automorphic data appearing in the geometrization of the local Langlands correspondence due to Fargues-Scholze. The stratification of Bun_G arising from the Harder-Narasimhan slope formalism on G-isocrystals yields a semi-orthogonal decomposition of D_ét(Bun_G) into the derived categories of smooth representations of inner forms of Levi subgroups of G. Between such categories there is a full six functor formalism that can be used to compute how sheaves arising on a quasi-compact open substack interact with sheaves on higher strata via nearby cycles functors\, which can be interpreted as some derived analogue of Jacquet restriction functors for parabolic subgroups of G up to inner twisting. We restrict to G=GL_2 and to sufficiently nice coefficients (notably this includes an algebraic closure of F_\ell and Z/\ell^n Z for almost all \ell prime to p)\, and we will explain how these computations fundamentally reduce to the étale cohomology of local Shimura varieties (more generally local shtuka spaces).
URL:https://crc326gaus.de/event/tba-54/
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:20230502T133000
DTEND;TZID=Europe/Berlin:20230502T150000
DTSTAMP:20260404T012513
CREATED:20230505T104838Z
LAST-MODIFIED:20230505T104838Z
UID:5735-1683034200-1683039600@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Theresa Häberle: Background on Drinfeld modular forms \nOur goal in the second talk is to give an exposition of known results in the theory of\nDrinfeld modular forms\, mainly\, for the full modular group GL2(A) [Gek88]\, [Gos80a]. To be\nmore precise\, as a starting point\, some background on rigid analytic (holomorphic) functions\non the Drinfeld upper half plane Ω should be given [Rev92\, §1–2] (see also [Gos92\, §2–5]\,\n[Ste97] and [FvdP04\, §2.2]). Later on\, weak Drinfeld modular forms as well as Drinfeld\nmodular forms (for GL2(A)) and their Fourier expansions shall be discussed and the condition\nof holomorphy at infinity must be explained [Gek88\, §5]. Our main objects for this talk are\ngoing to be illustrated via providing several examples such as Eisenstein series\, coefficient\nforms\, h-function of Gekeler\, or more generally\, Poincar ́e series [Gek88\, (5.9)\, (5.10)\, (5.11)].\nThe results on the C∞-algebra structure of Drinfeld modular forms must be stated [Gek88\,\n5.12\, 5.13]. If time permits\, Hecke operators shall be briefly introduced and the notion of\nHecke eigenvalues and Hecke eigenforms will be explained [Gek88\, §7].
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-2/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230427T093000
DTEND;TZID=Europe/Berlin:20230427T110000
DTSTAMP:20260404T012513
CREATED:20230425T142817Z
LAST-MODIFIED:20230425T142817Z
UID:5646-1682587800-1682593200@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Talk 2: Christian Merten (Universität Heidelberg): Direct image with compact support
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality-2/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230425T160000
DTEND;TZID=Europe/Berlin:20230425T170000
DTSTAMP:20260404T012513
CREATED:20230414T122304Z
LAST-MODIFIED:20230418T130900Z
UID:5387-1682438400-1682442000@crc326gaus.de
SUMMARY:Almost holomorphic Drinfeld modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nOguz Gezmis (Heidelberg University) \nIn his series of papers from 1970s\, Shimura analyzed a non-holomorphic operator\, nowadays called the Maass-Shimura operator\, and later extensively studied almost holomorphic modular forms. He also discovered their role on constructing class fields as well as the connection with periods of CM elliptic curves. In this talk\, our first goal is to introduce their positive characteristic counterpart\, almost holomorphic Drinfeld modular forms. We further relate them to Drinfeld quasi-modular forms which leads us to generalize the work of Bosser and Pellarin to a certain extend. Moreover\, we introduce the Maass-Shimura operator $\delta_k$ in our setting for any nonnegative integer k and investigate the relation between the periods of CM Drinfeld modules and the values at CM points of arithmetic Drinfeld modular forms under the image of $\delta_k$. If time permits\, we also reveal how to construct class fields by using such values. This is a joint work with Yen-Tsung Chen. \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-37/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230425T140000
DTEND;TZID=Europe/Berlin:20230425T160000
DTSTAMP:20260404T012513
CREATED:20230419T123802Z
LAST-MODIFIED:20230425T104423Z
UID:5578-1682431200-1682438400@crc326gaus.de
SUMMARY:Comparison of tame and log-étale cohomology
DESCRIPTION:Seminar: Non-archimedean geometry\nCancelled: postponed by one week \nAmine Koubaa (Universität Frankfurt) \nAbstract: tba
URL:https://crc326gaus.de/event/tba-53/
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:20230425T133000
DTEND;TZID=Europe/Berlin:20230425T150000
DTSTAMP:20260404T012513
CREATED:20230505T104657Z
LAST-MODIFIED:20230505T104918Z
UID:5732-1682429400-1682434800@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Luisa Pauline Boneberger: Background on Drinfeld modules \nThe first talk aims to give the audience some necessary background for the rest of the\nseminar. First\, set up the notation as explained above and define Drinfeld modules over\nC∞. Discuss the exponential function corresponding to a Drinfeld module as well as its\nperiods [Gos96\, §3\, 4]\, [Gek88\, §2]. To illustrate the content further\, explain the details for\nthe Carlitz module and define its fundamental period [EGP14\, §2\,4]. The correspondence\nbetween rank r A-lattices and Drinfeld modules of rank r (Drinfeld Uniformization Theorem)\nmust be stated\, and if time permits\, a sketch of its proof would be given [BP20\, §2.4]. The\ntalk should be finalized with a discussion on Anderson generating functions. Its particular\nproperties\, due to Pellarin [Pel08\, §4.2]\, should be explained and a sketch of their proof will\nbe given [EGP14\, Prop. 3.2\, Prop. 6.2].
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230424T150000
DTEND;TZID=Europe/Berlin:20230424T173000
DTSTAMP:20260404T012513
CREATED:20230316T134050Z
LAST-MODIFIED:20230419T063337Z
UID:5090-1682348400-1682357400@crc326gaus.de
SUMMARY:The geometry of coherent sheaves: From derived categories to Higgs bundles
DESCRIPTION:GAUS-Workshop: “Recent developments in GIT” \n14:00-15:00: Victoria Hoskins (Nijmegen\, speaking remotely): An introduction to geometric invariant theory \nAbstract: The aim of this survey talk is to give an introduction to geometric invariant theory in order to prepare the audience for the subsequent talks as requested by the organisers. I will start by explaining how group actions often appear in moduli problems and we will see how constructing algebra-geometric quotients is related to 19th century invariant theory. I will explain why the theory is simplest for non-reductive group actions and\, in this case\, I will explain how Mumford constructs quotients (of certain open ‘semistable’ subsets) using geometric invariant theory\, as well as giving combinatorial and numerical criteria for semistability. If there is time\, I will briefly mention some recent developments to extend GIT to certain non-reductive group actions. \n15:20-16:20: Joshua Jackson (Sheffield): Advances in Non-reductive GIT and applications\n\nAbstract: Following from the previous talk on reductive GIT\, I will survey recent developments in extending this theory to non-reductive groups\, with a particular focus on applications to moduli theory. Time permitting\, I will then indicate how non-reductive GIT can be used in the study of sheaves\, Higgs bundles\, hypersurfaces\, and singular curves. \n16:40-17:40: Dario Weissmann (Essen): A stacky approach to identify the semi-stable locus of vector bundles \nAbstract: I report on recent joint work with Xucheng Zhang focusing on our Theorem A for vector bundles in characteristic 0: The semi-stable locus in the stack of bundles over a smooth projective curve is the maximal open locus admitting a schematic good moduli space. This gives an intrinsic motivation for semi-stability of vector bundles. Historically\, semi-stability appeared in the quest for a moduli space of bundles and the classical construction of this moduli space uses a non-canonical GIT-construction. Theorem A also provides us with natural examples of good moduli spaces which are only algebraic spaces and not schemes. \n 
URL:https://crc326gaus.de/event/the-geometry-of-coherent-sheaves-from-derived-categories-to-higgs-bundles-copy/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR