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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221111T133000
DTEND;TZID=Europe/Berlin:20221111T150000
DTSTAMP:20260601T005024
CREATED:20221028T162826Z
LAST-MODIFIED:20221109T114328Z
UID:3988-1668173400-1668178800@crc326gaus.de
SUMMARY:Integral p-adic cohomology for open and singular varieties
DESCRIPTION:Veronika Ertl (Universität Regensburg) \nIn this talk I will explain a joint result with Johannes Sprang and Atsushi Shiho. Under certain conditions of resolutions of singularities in positive characteristic\, we construct a “good” integral p-adic cohomology theory for open and singular varieties\, by using a version of Voevodsky’s h-topology. I will explain the construction and clarify in which sense our cohomology is a “good” p-adic cohomology theory. I will also touch on the question why a similar approach does not work in full generality without resolutions of singularities. \nlivestream:\nhttp://129.206.106.240/UzPL29kB/mathematikon-seminarraum.html
URL:https://crc326gaus.de/event/integral-p-adic-cohomology-for-open-and-singular-varieties/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221111T133000
DTEND;TZID=Europe/Berlin:20221111T150000
DTSTAMP:20260601T005024
CREATED:20221110T123239Z
LAST-MODIFIED:20221115T105756Z
UID:4265-1668173400-1668178800@crc326gaus.de
SUMMARY:Analytische Kohomologie von Lubin – ­­Tate (φ\, Γ)-Moduln"
DESCRIPTION:Rustam Steingart (Heidelberg University)
URL:https://crc326gaus.de/event/analytische-kohomologie-von-lubin-tate-%cf%86-%ce%b3-moduln/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221111T153000
DTEND;TZID=Europe/Berlin:20221111T170000
DTSTAMP:20260601T005024
CREATED:20221109T082715Z
LAST-MODIFIED:20221110T134138Z
UID:4235-1668180600-1668186000@crc326gaus.de
SUMMARY:On the Drinfeld's Lemma for the pro-étale fundamental group
DESCRIPTION:Seminar on Arithmetic Geometry: \nMarcin Lara (Goethe University) \nDrinfeld’s Lemma for the étale fundamental group serves as a replacement for the Künneth formula in positive characteristic\, that holds even when neither of the varieties is proper. I will report on the progress towards extending this result to the pro-étale fundamental group of Bhatt-Scholze. Note: this is still quite an early stage of the project.
URL:https://crc326gaus.de/event/on-the-drinfelds-lemma-for-the-pro-etale-fundamental-group/
LOCATION:Darmstadt\, Room S215 401
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221115T160000
DTEND;TZID=Europe/Berlin:20221115T170000
DTSTAMP:20260601T005024
CREATED:20221108T130002Z
LAST-MODIFIED:20221110T130102Z
UID:4196-1668528000-1668531600@crc326gaus.de
SUMMARY:Modularity and automorphy of cycles on Shimura varieties
DESCRIPTION:Congling Qiu (Yale University):  \nAlgebraic cycles are central objects in algebraic/arithmetic geometry and problems around them are very difficult. For Shimura varieties modularity of generating series with coefficients being algebraic cycles has been proved useful in the of study of algebraic cycles. A closely related problem is the automorphy of representations spanned by algebraic cycles. I will discuss the history of these problems some progress and applications. \nInternational Seminar on Automorphic Forms \nYou can join the Zoom meeting at \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/international-seminar-on-automorphic-forms-tba/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221117T140000
DTEND;TZID=Europe/Berlin:20221117T160000
DTSTAMP:20260601T005024
CREATED:20221024T125203Z
LAST-MODIFIED:20221107T125619Z
UID:3915-1668693600-1668700800@crc326gaus.de
SUMMARY:Algebraicity of Higher Green Functions at a CM Point
DESCRIPTION:Yingkun Li (Darmstadt/Mainz) \nAbstract: By the classical theory of complex multiplication\, the modular j-function takes algebraic values at CM points. It is an interesting question to ask about the algebraic nature of other types of automorphic functions at CM points. For the automorphic Green function at integral parameters\, Gross and Zagier conjectured in the 1980s that their valuesat a CM point is essentially the logarithm of an algebraic number. In this talk\, we will discuss recent progress toward this conjecture. This is partly joint with Jan Bruinier and Tonghai Yang.
URL:https://crc326gaus.de/event/tba-25/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221118T133000
DTEND;TZID=Europe/Berlin:20221118T150000
DTSTAMP:20260601T005024
CREATED:20221109T154454Z
LAST-MODIFIED:20221111T135920Z
UID:4258-1668778200-1668783600@crc326gaus.de
SUMMARY:A survey of Galois deformation theory
DESCRIPTION:Ravi Ramakrishna (Cornell University)
URL:https://crc326gaus.de/event/tba-28/
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:20221122T160000
DTEND;TZID=Europe/Berlin:20221122T170000
DTSTAMP:20260601T005024
CREATED:20221108T130142Z
LAST-MODIFIED:20221117T085724Z
UID:4198-1669132800-1669136400@crc326gaus.de
SUMMARY:Orthogonal modular forms\, Siegel modular forms and Eisenstein congruences
DESCRIPTION:International Seminar on Automorphic Forms \nThe theta correspondence between the orthogonal group and the symplectic group  provides a cornerstone for studying Siegel modular forms via orthogonal modular forms. In this work\, we make this correspondence completely explicit\, with precise level structure for low to moderate even rank and nontrivial discriminant. Guided by computational discoveries\, we prove congruences between eigenvalues of classical modular forms and eigenvalues of genuine Siegel modular forms\, obtain formulas for the number of neighbors in terms of eigenvalues of classical modular forms\, and formulate some conjectures that arise naturally from the data. This is joint work with Dan Fretwell\, Colin Ingalls\, Adam Logan\, Spencer Secord\, and John Voight \nEran Assaf (Dartmouth College) \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-2/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221123T160000
DTEND;TZID=Europe/Berlin:20221123T170000
DTSTAMP:20260601T005024
CREATED:20221018T084859Z
LAST-MODIFIED:20221115T114508Z
UID:3856-1669219200-1669222800@crc326gaus.de
SUMMARY:P=W phenomena on singular moduli spaces
DESCRIPTION:Oberseminar Algebra und Geometrie \nCamilla Felisetti (University of Modena) \nAbstract:\nIrreducible holomorphic symplectic (IHS) varieties can be thought as a generalization of hyperkähler manifolds allowing singularities.\nAmong them we can find for example moduli spaces of sheaves on K3 and abelian surfaces\, which have been recently shown to play a crucial role in non abelian Hodge theory.\nAfter recalling the main features of IHS varieties\, I will present several results concerning their intersection cohomology and the perverse filtration associated with a Lagrangian fibration\, establishing a compact analogue of the celebrated P=W conjecture by de Cataldo\, Hausel and Migliorini for varieties which admit a symplectic resolution.\nThe talk is based on joint works with Mirko Mauri\, Junliang Shen and Qizheng Yin.
URL:https://crc326gaus.de/event/tba-24/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221124T140000
DTEND;TZID=Europe/Berlin:20221124T160000
DTSTAMP:20260601T005024
CREATED:20221024T125436Z
LAST-MODIFIED:20221123T101800Z
UID:3917-1669298400-1669305600@crc326gaus.de
SUMMARY:Limit periods on curves and arithmetic heights
DESCRIPTION:Emre Sertöz (Hannover) \nWe show that in a nodal degeneration of smooth curves\, the periods of the resulting limit mixed Hodge structure (LMHS) contain arithmetic information. For instance\, if the nodal fiber is identified with a smooth curve C glued at two points p and q then the LMHS relates to the Neron–Tate height of p-q in the Jacobian of C. This observation combines an idea resembling “arithmetic deformation to the normal cone” with a study of the divergence behavior of the periods of a degenerating family of curves. Joint work with Robin de Jong and Spencer Bloch.
URL:https://crc326gaus.de/event/tba-26/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221125T133000
DTEND;TZID=Europe/Berlin:20221125T150000
DTSTAMP:20260601T005024
CREATED:20221116T095132Z
LAST-MODIFIED:20221116T095132Z
UID:4330-1669383000-1669388400@crc326gaus.de
SUMMARY:Homotopy Theory in Condensed Mathematics
DESCRIPTION:Catrin Mair (TU Darmstadt)
URL:https://crc326gaus.de/event/homotopy-theory-in-condensed-mathematics/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221125T140000
DTEND;TZID=Europe/Berlin:20221125T150000
DTSTAMP:20260601T005024
CREATED:20221012T125125Z
LAST-MODIFIED:20221115T113641Z
UID:3777-1669384800-1669388400@crc326gaus.de
SUMMARY:Quadratically enriched tropical intersections 1
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (First meeting Winter Semester 2022/23) \nSabrina Pauli (Universität Duisburg-Essen) \nAbstract:\nTropical geometry has been proven to be a powerful computational tool in enumerative geometry over the complex and real numbers. Results from motivic homotopy theory allow to study questions in enumerative geometry over an arbitrary field k. In these two talks we present one of the first examples of how to use tropical geometry for questions in enuemrative geometry over k\, namely a proof of the quadratically enriched Bézout’s theorem for tropical curves. \nIn the first talk we explain what we mean by the “quadratic enrichment”\, that is we define the necessary notions of enumerative geometry over arbitrary fields valued in the Grothendieck-Witt ring of quadratic forms over k.
URL:https://crc326gaus.de/event/tba-23/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221125T140000
DTEND;TZID=Europe/Berlin:20221125T153000
DTSTAMP:20260601T005024
CREATED:20221116T133236Z
LAST-MODIFIED:20221117T203545Z
UID:4333-1669384800-1669390200@crc326gaus.de
SUMMARY:Isotropic motivic homotopy theory
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this talk I will introduce isotropic motivic homotopy theory\, which is a localization of the usual motivic homotopy theory obtained\, roughly speaking\, by “killing” anisotropic varieties. First\, I will present the triangulated category of isotropic motives\, constructed by Vishik\, as well as its stable homotopic counterpart. Then\, I will discuss the structure of the category of isotropic cellular spectra\, which are deeply related to comodules over the classical dual Steenrod algebra. \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime) \nFabio Tanania\, LMU München
URL:https://crc326gaus.de/event/isotropic-motivic-homotopy-theory/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221125T153000
DTEND;TZID=Europe/Berlin:20221125T163000
DTSTAMP:20260601T005024
CREATED:20221012T124622Z
LAST-MODIFIED:20221115T113931Z
UID:3773-1669390200-1669393800@crc326gaus.de
SUMMARY:Quadratically enriched tropical intersections 2
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (First meeting Winter Semester 2022/23) \nAndrés Jaramillo Puentes (Universität Duisburg-Essen) \nAbstract:\nTropical geometry has been proven to be a powerful computational tool in enumerative geometry over the complex and real numbers. Results from motivic homotopy theory allow to study questions in enumerative geometry over an arbitrary field k. In these two talks we present one of the first examples of how to use tropical geometry for questions in enuemrative geometry over k\, namely a proof of the quadratically enriched Bézout’s theorem for tropical curves. \nIn the second talk we define the quadratically enriched multiplicity at an intersection point of two tropical curves and show that it can be computed combinatorially. We will use this new approach to prove an enriched version of the Bézout theorem and of the Bernstein–Kushnirenko theorem\, both for enriched tropical curves.
URL:https://crc326gaus.de/event/tba-21/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221125T164500
DTEND;TZID=Europe/Berlin:20221125T174500
DTSTAMP:20260601T005024
CREATED:20221012T124831Z
LAST-MODIFIED:20221115T114628Z
UID:3775-1669394700-1669398300@crc326gaus.de
SUMMARY:Valuative invariants for large classes of matroids
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (First meeting Winter Semester 2022/23) \nBenjamin Schröter (Universität Frankfurt) \nAbstract:\nValuations on polytopes are maps that combine the geometry of polytopes with relations in a group. It turns out that many important invariants of matroids are valuative on the collection of matroid base polytopes\, e.g.\, the Tutte polynomial and its specializations or the Hilbert–Poincaré series of the Chow ring of a matroid. \nIn this talk I will present a framework that allows us to compute such invariants on large classes of matroids\, e.g.\, sparse paving and elementary split matroids\, explicitly. The concept of split matroids introduced by Joswig and myself is relatively new. However\, this class appears naturally in this context. Moreover\, (sparse) paving matroids are split. I will demonstrate the framework by looking at Ehrhart polynomials\, relations in Chow rings of combinatorial geometries\, and further examples. \nThis talk is based on the preprint `Valuative invariants for large classes of matroids’ which is joint work with Luis Ferroni.
URL:https://crc326gaus.de/event/tba-22/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221129T090000
DTEND;TZID=Europe/Berlin:20221129T100000
DTSTAMP:20260601T005024
CREATED:20221108T130349Z
LAST-MODIFIED:20221124T145442Z
UID:4200-1669712400-1669716000@crc326gaus.de
SUMMARY:Vector-valued orthogonal modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nI will talk about the theory of vector-valued modular forms on domains of type IV\, with some emphasis on its algebro-geometric aspects. \nShouhei Ma (Tokyo Institute of Technology) \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-3/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T133000
DTEND;TZID=Europe/Berlin:20221202T150000
DTSTAMP:20260601T005024
CREATED:20221123T103917Z
LAST-MODIFIED:20221130T203927Z
UID:4377-1669987800-1669993200@crc326gaus.de
SUMMARY:Bloch-Kato groups\, perfectoid fields\, and Iwasawa theory
DESCRIPTION:Gautier Ponsinet (Université Bordeaux) \nThe Bloch-Kato Selmer groups associated with a geometric representation of the Galois group of a number field take part in Bloch and Kato's conjecture on the special values of L functions of motives. In Iwasawa theory\, we are interested in the structure of these Bloch-Kato Selmer groups over infinite algebraic fields extensions. To do so\, we need to study the local Bloch-Kato groups defined via p-adic Hodge theory. In this talk\, I will present new results about the local Bloch-Kato groups over perfectoid fields\, thereby answering a question by Coates and Greenberg in new cases. These local results allow to describe the Bloch-Kato Selmer groups over many infinite extensions as Selmer groups "à la Greenberg" which are easier to handle. If time allows\, I will present immediate consequences of this description in Iwasawa theory.\nlivestream:\nhttp://129.206.106.240/UzPL29kB/mathematikon-seminarraum.html
URL:https://crc326gaus.de/event/bloch-kato-groups-perfectoid-fields-and-iwasawa-theory/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T140000
DTEND;TZID=Europe/Berlin:20221202T153000
DTSTAMP:20260601T005024
CREATED:20221129T122031Z
LAST-MODIFIED:20221130T213623Z
UID:4384-1669989600-1669995000@crc326gaus.de
SUMMARY:Torsors on valuation rings
DESCRIPTION:Seminar on Arithmetic Geometry \nA conjecture of Grothendieck and Serre states that a torsor under a reductive group over a Noetherian regular scheme X is Zariski locally trivial if it is generically trivial. Recently\, this conjecture has seen progress through the work of Fedorov\, Panin and Česnavičius. We shall see the historical background of this conjecture\, followed by the techniques that go into the proof of the quasi-split case in the analogous situation when X is a smooth scheme over a valuation ring of rank one. \nArnab Kundu (University Paris-Saclay) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/torsors-on-valuation-rings/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221202T140000
DTEND;TZID=Europe/Berlin:20221202T160000
DTSTAMP:20260601T005024
CREATED:20221116T085251Z
LAST-MODIFIED:20221116T085251Z
UID:4322-1669989600-1669996800@crc326gaus.de
SUMMARY:Rigidity properties of the cotangent complex
DESCRIPTION:Srikanth Iyengar (Utah) \nThis talk is about the cotangent complex of a homomorphism of commutative noetherian rings. I will present some new results on this topic\, some due to Benjamin Briggs\, and others obtained in collaboration with him\, that highlight various rigidity properties of the cotangent complex. These are reported in the following article: https://arxiv.org/abs/2010.13314
URL:https://crc326gaus.de/event/rigidity-properties-of-the-cotangent-complex/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221206T090000
DTEND;TZID=Europe/Berlin:20221206T100000
DTSTAMP:20260601T005024
CREATED:20221108T130601Z
LAST-MODIFIED:20221130T125714Z
UID:4202-1670317200-1670320800@crc326gaus.de
SUMMARY:Arithmetic Quantum Chaos and L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nIn this talk\, I will introduce some aspects of the theory of arithmetic quantum chaos\, focusing on the quantum unique ergodicity theorem for automorphic forms on the modular surface. Then I will give some results on effective decorrelation of Hecke eigenforms and the cubic moment of Hecke-Maass cusp forms. The proofs are based on the analytic theory of L-functions. \nBingrong Huang (Shandong University) \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-4/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221209T153000
DTEND;TZID=Europe/Berlin:20221209T170000
DTSTAMP:20260601T005024
CREATED:20221202T082640Z
LAST-MODIFIED:20221202T143116Z
UID:4447-1670599800-1670605200@crc326gaus.de
SUMMARY:Depth $0$ local Langlands and cohomology of stacks of global chtoucas
DESCRIPTION:Seminar on Arithmetic Geometry \nLet $G$ be a split reductive group\, $X$ a smooth proper curve over a finite field and $x \in X$ a place. Let $F_x$ the completion of the function field of $X$ at $x$. In this setting\, Lafforgue and Genestier have constructed a semisimple local Langlands correspondence for $G(F_x)$ by geometric methods. In another direction\, DeBacker and Reeder have constructed the depth $0$ part of a local Langlands correspondence by representation theoretic methods. In this talk\, I will discuss some compatibility statement between the two constructions and explain the connection to global chtoucas over $X$. \nArnaud Eteve (ENS\, Paris) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/depth-0-local-langlands-and-cohomology-of-stacks-of-global-chtoucas/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221212T133000
DTEND;TZID=Europe/Berlin:20221212T151000
DTSTAMP:20260601T005024
CREATED:20221209T082911Z
LAST-MODIFIED:20221209T082911Z
UID:4582-1670851800-1670857800@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 1: The purpose of this talk is to discuss the point-set topology subtleties that arise from working with non-analytic adic spaces within Scholze’s framework of v-sheaves. We recall miscellaneous aspects of the theory of adic spaces\, perfectoid spaces\, diamonds and v-sheaves. We introduce the small diamond and big diamond functors. We define the “diamond” (or olivine) spectrum of a Huber pair and describe it. We explain explicitly the example of the olivine spectrum of valuation rings. Finally\, we use this topological considerations to “explain” the reversal of closure relations betwenn |Bun_G| and |Isoc_G|. \nIan Glesaon (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221212T160000
DTEND;TZID=Europe/Berlin:20221212T180000
DTSTAMP:20260601T005024
CREATED:20221202T151545Z
LAST-MODIFIED:20221208T130207Z
UID:4468-1670860800-1670868000@crc326gaus.de
SUMMARY:Milnor K-theory of p-adic rings and motivic cohomology
DESCRIPTION:Dr. Morten Lüders (Hannover) \nAbstract: We explain a joint work with Matthew Morrow on $p$-adic Milnor K-theory. Our main theorem is a comparison of mod $p^r$ Milnor K-groups of $p$-henselian local rings with the Milnor range of a nwly defined syntomic cohomology theory by Bhatt\, Morrow and Scholze. We begin by putting our result into context. Then we sketch the proof which builds on an analysis of a filtration on Milnor K-groups and a new technique called the left Kan extension from smooth algebras.
URL:https://crc326gaus.de/event/tba-27/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221213T095000
DTEND;TZID=Europe/Berlin:20221213T113000
DTSTAMP:20260601T005024
CREATED:20221209T083324Z
LAST-MODIFIED:20221209T095037Z
UID:4585-1670925000-1670931000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds.
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 2: The purpose of this talk is to discuss the theory of kimberlites. We introduce the reduction functor\, specializing sheaves\, prekimberlites\, kimberlites\, tubular and etale neighborhoods. We discuss the topological specialization map and the v-sheaf theoretic specialization map. We discuss the etale site of a prekimberlite\, the formal and analytic nearby cycles functors and the comparison between them. We discuss finiteness condtions and the specialization triples principle. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-2/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221213T160000
DTEND;TZID=Europe/Berlin:20221213T170000
DTSTAMP:20260601T005024
CREATED:20221108T130803Z
LAST-MODIFIED:20221213T100944Z
UID:4204-1670947200-1670950800@crc326gaus.de
SUMMARY:Bias in cubic Gauss sums: Patterson's conjecture
DESCRIPTION:International Seminar on Automorphic Forms\n \nWe prove\, in this joint work with Maksym Radziwill\, a 1978 conjecture of S. Patterson (conditional on the Generalised Riemann hypothesis) concerning the bias of cubic Gauss sums. This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by Kummer in 1846. One important byproduct of our proof is that we show Heath-Brown’s cubic large sieve is sharp under GRH. This disproves the popular belief that the cubic large sieve can be improved. An important ingredient in our proof is a dispersion estimate for cubic Gauss sums. It can be interpreted as a cubic large sieve with correction by a non-trivial asymptotic main term. \nAlexander Dunn (Caltech) \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-5/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221214T140000
DTEND;TZID=Europe/Berlin:20221214T160000
DTSTAMP:20260601T005024
CREATED:20221202T151837Z
LAST-MODIFIED:20221202T151837Z
UID:4474-1671026400-1671033600@crc326gaus.de
SUMMARY:Torsors on Valuation Rings
DESCRIPTION:Arnab Kundu (Université Paris-Saclay) \nAbstract: A conjecture of Grothendieck and Serre states that a torsor under a reductive group over a Noetherian regular scheme X is Zariski locally trivial if it is generically trivial. Recently\, this conjecture has seen progress through the work of Fedorov\, Panin and Česnavičius. We shall see the historical background of this conjecture\, followed by the techniques that go into the proof of the quasi-split case in the analogous situation when X is a smooth scheme over a valuation ring of rank one.
URL:https://crc326gaus.de/event/torsors-on-valuation-rings-2/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221214T160000
DTEND;TZID=Europe/Berlin:20221214T170000
DTSTAMP:20260601T005024
CREATED:20221205T124531Z
LAST-MODIFIED:20221205T124531Z
UID:4517-1671033600-1671037200@crc326gaus.de
SUMMARY:Der Satz von Belyi
DESCRIPTION:Marie Kassner (Universität Frankfurt) \nBachelorabschlussvortrag
URL:https://crc326gaus.de/event/der-satz-von-belyi/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221215T133000
DTEND;TZID=Europe/Berlin:20221215T151000
DTSTAMP:20260601T005024
CREATED:20221209T083522Z
LAST-MODIFIED:20221209T095239Z
UID:4587-1671111000-1671117000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds.
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 3: The purpose of this talk is to discuss the moduli of B^+_dR-lattices with extra structure. We prove they are kimberlites in general and we sketch the proof of the representability by formal schemes of the “local models” attached to minuscule cocharacters. We introduce the notion of unibranch kimberlites and explain its relation to normality. We prove that these moduli spaces are unibranch. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-3/
LOCATION:Darmstadt\, Room 315 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221215T140000
DTEND;TZID=Europe/Berlin:20221215T160000
DTSTAMP:20260601T005024
CREATED:20221012T071938Z
LAST-MODIFIED:20221208T142813Z
UID:3768-1671112800-1671120000@crc326gaus.de
SUMMARY:Residual intersections and Witt-valued Euler numbers
DESCRIPTION:Tom Bachmann \nReport on joint work with Kirsten Wickelgren. Let K = J:I be a (local) residual intersection satisfying appropriate hypotheses. We show that the conormal module J/JK is free and use this to exhibit a *canonical* isomorphism between I^{t+1}/JI^t twisted by the determinant of J/KJ and the canonical module (the derived dual of R/K). Using this we determine the canonical modules of global residual intersections. As an application we show how to interpret the van Straten–Warmt form of an almost complete intersection as arising via algebraic surgery from the Koszul complex. This yields a new local formula in quadratic enumerative geometry.
URL:https://crc326gaus.de/event/t-b-a-3/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221216T133000
DTEND;TZID=Europe/Berlin:20221216T150000
DTSTAMP:20260601T005024
CREATED:20221202T152055Z
LAST-MODIFIED:20221202T152055Z
UID:4476-1671197400-1671202800@crc326gaus.de
SUMMARY:A motivic integral p-adic cohomology
DESCRIPTION:Alberto Merici (Oslo) \nAbstract: We use the theory of logarithmic motives to construct an integral p-adic  cohomology theory for smooth varieties over a field k of characteristic p\, that factors through the category of Voevodsky (effective) motives. If k satisfies resolutions of singularities\, we will show that it is indeed a “good” integral p-adic cohomology and it agrees to a similar one constructed by Ertl\, Shiho and Sprang: we will then deduce many interesting motivic properties.\nIf time permits\, we will explain how the above construction suggests a strategy to prove a conjecture of Hübner and Schmidt on tame motivic cohomology.
URL:https://crc326gaus.de/event/a-motivic-integral-p-adic-cohomology/
LOCATION:Heidelberg\, Mathematikon\, SR C
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221216T140000
DTEND;TZID=Europe/Berlin:20221216T170000
DTSTAMP:20260601T005024
CREATED:20221209T083709Z
LAST-MODIFIED:20221209T095342Z
UID:4589-1671199200-1671210000@crc326gaus.de
SUMMARY:Point-set topology methods in the theory of v-sheaves and diamonds
DESCRIPTION:Seminar on Arithmetic Geometry \nIn this lecture series we aim to introduce the audience to the theory of kimberlites and its applications. The theory of kimberlites attempts to single out within Scholze’s category of v-sheaves those objects that “behave” as formal schemes. In this way\, kimberlites provide well-behaved candidates for integral models of locally spatial diamonds. In the first two talks we discuss the foundations of the theory\, and in the second two talks we discuss its applications to study moduli spaces of B_dR-lattices and moduli spaces of p-adic shtukas. \nTalk 4: The purpose of this talk is to discuss the moduli of p-adic shtukas. We prove these moduli spaces are smelted kimberlites and single out the difficulties to proving that they are kimberlites. We discuss the v-sheaf theoretic “local diagram correspondence” for tubular neighborhoods relating moduli spaces of shtukas to moduli of B^+_dR-lattices. We prove they are unibranch. Finally we expalin how this is used to compute their connected components. \nIan Gleason (Berkeley\, USA) \nZoom (Meeting-ID: 635 7328 0984\, Password: smallest six digit prime)
URL:https://crc326gaus.de/event/point-set-topology-methods-in-the-theory-of-v-sheaves-and-diamonds-4/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR