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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240130T160000
DTEND;TZID=Europe/Berlin:20240130T170000
DTSTAMP:20260531T172332
CREATED:20231009T105559Z
LAST-MODIFIED:20240123T160326Z
UID:6420-1706630400-1706634000@crc326gaus.de
SUMMARY:Six-dimensional sphere packing and linear programming
DESCRIPTION:International Seminar on Automorphic Forms \nMatthew de Courcy-Ireland (Stockholm University) \nThis talk is based on joint work with Maria Dostert and Maryna Viazovska. We prove that the Cohn–Elkies linear programming bound is not sharp for sphere packing in dimension 6. This is in contrast to Viazovska’s sharp bound in dimension 8\, even though it is believed that closely related lattices achieve the optimal densities in both dimensions. The proof uses modular forms to construct feasible points in a dual program\, generalizing a construction of Cohn and Triantafillou to the case of odd weight and non-trivial Dirichlet character. Non-sharpness of linear programming is demonstrated by comparing this dual bound to a stronger upper bound obtained from semidefinite programming by Cohn\, de Laat\, and Salmon. Our construction has vanishing Fourier coefficients along an arithmetic progression\, which can be explained using skew self-adjointness of Hecke operators. \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-71/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240201T141500
DTEND;TZID=Europe/Berlin:20240201T151500
DTSTAMP:20260531T172332
CREATED:20231012T090600Z
LAST-MODIFIED:20240125T100727Z
UID:6656-1706796900-1706800500@crc326gaus.de
SUMMARY:On the motivic fundamental group
DESCRIPTION:Emil Jacobsen (Stockholm) \nAbstract: I will introduce the motivic fundamental group of a smooth variety\, and explain its relation to the usual fundamental group. The main result can also be phrased as follows: local systems of geometric origin are stable under extension in the category of local systems. I will also present a motivic version of a classical theorem of Hain\, on Malcev completions of monodromy representations. At the end\, I’ll explain some of the group/representation theoretic tools that go into these result. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-80/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240202T133000
DTEND;TZID=Europe/Berlin:20240202T150000
DTSTAMP:20260531T172332
CREATED:20240126T120455Z
LAST-MODIFIED:20240126T120455Z
UID:7637-1706880600-1706886000@crc326gaus.de
SUMMARY:On Voevodsky's reconstruction theorem
DESCRIPTION:Sebastian Wolf (Universität Regensburg) \nIn 1990\, Voevodsky proved a conjecture of Grothendieck\, that morphisms of normal schemes of finite type over the rational numbers can be reconstructed from the induced morphism of étale topoi. The goal of this talk is to give an outline of Voevodsky’s proof and explain how to extend it to certain sufficiently nice singular schemes. If time permits\, we will also see what one has to modify to make it work in positive characteristic. This is joint work with Peter Haine.
URL:https://crc326gaus.de/event/on-voevodskys-reconstruction-theorem/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Tim Holzschuh":MAILTO:tholzschuh@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240202T143000
DTEND;TZID=Europe/Berlin:20240202T153000
DTSTAMP:20260531T172332
CREATED:20240123T143810Z
LAST-MODIFIED:20240123T143810Z
UID:7614-1706884200-1706887800@crc326gaus.de
SUMMARY:Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2023/24) \nAndreas Bernig (Goethe-Universität Frankfurt) \nAbstract: The hard Lefschetz theorem and the Hodge-Riemann relations have their origin in the cohomology theory of compact Kähler manifolds. In recent years it has become clear that similar results hold in many different settings\, in particular in algebraic geometry and combinatorics (work by Adiprasito\, Huh and others). In a recent joint work with Jan Kotrbatý and Thomas Wannerer\, we prove the hard Lefschetz theorem and Hodge-Riemann relations for valuations on convex bodies. These results can be translated into an array of quadratic inequalities for mixed volumes of smooth convex bodies\, giving a smooth analogue of the quadratic inequalities in McMullen’s polytope algebra. Surprinsingly\, these inequalities fail for general convex bodies. Our proof uses elliptic operators and perturbation theory of unbounded operators.
URL:https://crc326gaus.de/event/hard-lefschetz-theorem-and-hodge-riemann-relations-for-convex-valuations-2/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240202T153000
DTEND;TZID=Europe/Berlin:20240202T170000
DTSTAMP:20260531T172332
CREATED:20231016T111637Z
LAST-MODIFIED:20240123T160047Z
UID:6708-1706887800-1706893200@crc326gaus.de
SUMMARY:Gluing sheaves along Harder-Narasimhan strata of Bun_2.
DESCRIPTION:Seminar on Arithmetic Geometry \nJonathan Miles (University of Frankfurt) \nWe explain how to glue sheaves on the moduli stack of G-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 (partial) 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 a derived analogue of Jacquet restriction functors for parabolic subgroups of G (up to inner twisting). We eventually 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 p-adic analogues of locally symmetric spaces\, such as the Bruhat-Tits building and moduli spaces of mixed p-adic Hodge structures. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-91/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240202T160000
DTEND;TZID=Europe/Berlin:20240202T170000
DTSTAMP:20260531T172332
CREATED:20240123T143136Z
LAST-MODIFIED:20240123T143136Z
UID:7615-1706889600-1706893200@crc326gaus.de
SUMMARY:Category of matroids with coefficients
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Winter Semester 2023/24) \nManoel Zanoelo Jarra (Universität Groningen) \nAbstract: Matroids are combinatorial abstractions of the concept of independence in linear algebra. There is a way back: when representing a matroid over a field we get a linear subspace. Another algebraic object for which we can represent matroids is the semifield of tropical numbers\, which gives us valuated matroids. In this talk we introduce Baker-Bowler’s theory of matroids with coefficients\, which recovers both classical and valuated matroids\, as well linear subspaces\, and we show how to give a categorical treatment to these objects that respects matroidal constructions\, as minors and duality. This is a joint work with Oliver Lorscheid and Eduardo Vital.
URL:https://crc326gaus.de/event/category-of-matroids-with-coefficients/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240206T160000
DTEND;TZID=Europe/Berlin:20240206T170000
DTSTAMP:20260531T172332
CREATED:20231009T105725Z
LAST-MODIFIED:20240130T085731Z
UID:6422-1707235200-1707238800@crc326gaus.de
SUMMARY:Evaluating the wild Brauer group
DESCRIPTION:International Seminar on Automorphic Forms \nRachel Newton (King’s College London) \nThe local-global approach to the study of rational points on varieties over number fields begins by embedding the set of rational points on a variety X into the set of its adelic points. The Brauer–Manin pairing cuts out a subset of the adelic points\, called the Brauer–Manin set\, that contains the rational points. If the set of adelic points is non-empty but the Brauer–Manin set is empty then we say there’s a Brauer–Manin obstruction to the existence of rational points on X. Computing the Brauer–Manin pairing involves evaluating elements of the Brauer group of X at local points. If an element of the Brauer group has order coprime to p\, then its evaluation at a p-adic point factors via reduction of the point modulo p. For p-torsion elements this is no longer the case: in order to compute the evaluation map one must know the point to a higher p-adic precision. Classifying Brauer group elements according to the precision required to evaluate them at p-adic points gives a filtration which we describe using work of Bloch and Kato. Applications of our work include addressing Swinnerton-Dyer’s question about which places can play a role in the Brauer–Manin obstruction. This is joint work with Martin Bright. \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-72/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240209T140000
DTEND;TZID=Europe/Berlin:20240209T153000
DTSTAMP:20260531T172332
CREATED:20231016T111058Z
LAST-MODIFIED:20240202T135000Z
UID:6702-1707487200-1707492600@crc326gaus.de
SUMMARY:Motivic tt-geometry
DESCRIPTION:Seminar on Arithmetic Geometry \nMartin Gallauer (University of Warwick) \nCommutative rings are profitably studied from a geometric point of view\, giving rise to the field of algebraic geometry. “Categorified commutative rings” (e.g. tt-categories) can similarly be studied geometrically\, leading to a field called tt-geometry. I will introduce these ideas and focus on recent progress regarding tt-categories arising in the motivic theory. (Based on joint work with Paul Balmer). \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-88/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240411T160000
DTEND;TZID=Europe/Berlin:20240411T170000
DTSTAMP:20260531T172332
CREATED:20240311T180923Z
LAST-MODIFIED:20240404T083751Z
UID:7886-1712851200-1712854800@crc326gaus.de
SUMMARY:The Two Lives of the Grassmannian
DESCRIPTION:Oberseminar Algebra und Geometrie \nBernd Sturmfels (MPI-MiS Leipzig) \nAbstract: \nThe Grassmannian parametrizes linear subspaces of a real vector space.\nIt is both a projective variety (via Plücker coordinates) and an affine\nvariety (via orthogonal projections). We examine these two representations\,\nthrough the lenses of linear algebra\, commutative algebra\, and statistics.
URL:https://crc326gaus.de/event/bernd-sturmfels-mpi-mis-the-two-lives-of-the-grassmannian/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240418T141500
DTEND;TZID=Europe/Berlin:20240418T151500
DTSTAMP:20260531T172332
CREATED:20240415T065318Z
LAST-MODIFIED:20240415T070004Z
UID:8158-1713449700-1713453300@crc326gaus.de
SUMMARY:Lifting differential equations: an introduction
DESCRIPTION:Vasily Golyshev (ICTP Trieste) \nAbstract. I will introduce a program aiming at constructing lifts of differential equations by using generalized Taylor’s formula in a systematic way. The talk is based on joint work with Ilia Gaiur.
URL:https://crc326gaus.de/event/lifting-differential-equations-an-introduction/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240419T133000
DTEND;TZID=Europe/Berlin:20240419T150000
DTSTAMP:20260531T172332
CREATED:20240405T132409Z
LAST-MODIFIED:20240405T132409Z
UID:8113-1713533400-1713538800@crc326gaus.de
SUMMARY:Balanced triple product p-adic L-functions and classical weight one forms
DESCRIPTION:Luca Dall’Ava (Universität Mailand) \nThis talk aims to introduce a new balanced triple product p-adic L-function and discuss its application to the equivariant Birch & Swinnerton-Dyer conjecture; we state a conjecture in a rank-1 situation analogous to the Elliptic–Stark conjecture formulated by Darmon–Lauder–Rotger in rank-2 and prove it in the CM case; this work fits in the general framework studied by Darmon–Lauder–Rotger and Andreatta–Bertolini–Seveso–Venerucci. The main feature of this new p-adic L-function is to allow classical weight one modular forms in the chosen families. Its construction crucially relies on an extension of Chenevier’s p-adic Jacquet–Langlands for quaternionic modular forms with level structure given by Pizer orders. Time permitting\, we will explain the intriguing technical difficulties one has to deal with constructing this morphism of eigenvarieties. That is joint work with Aleksander Horawa.
URL:https://crc326gaus.de/event/balanced-triple-product-p-adic-l-functions-and-classical-weight-one-forms/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240419T153000
DTEND;TZID=Europe/Berlin:20240419T170000
DTSTAMP:20260531T172332
CREATED:20240405T113808Z
LAST-MODIFIED:20240430T062428Z
UID:8111-1713540600-1713546000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Catrin Mair (TU Darmstadt) \nZoom 635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl \n 
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-9/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240426T133000
DTEND;TZID=Europe/Berlin:20240426T150000
DTSTAMP:20260531T172332
CREATED:20240402T133301Z
LAST-MODIFIED:20240402T133301Z
UID:8036-1714138200-1714143600@crc326gaus.de
SUMMARY:Motivic cohomology of cyclic coverings
DESCRIPTION:Tariq Syed (Mainz/Los Angeles) \nMany examples of topologically contractible smooth affine complex varieties are given by cyclic coverings. In this talk\, we present new results on the motivic cohomology of such cyclic coverings.
URL:https://crc326gaus.de/event/motivic-cohomology-of-cyclic-coverings/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240426T153000
DTEND;TZID=Europe/Berlin:20240426T170000
DTSTAMP:20260531T172332
CREATED:20240405T064244Z
LAST-MODIFIED:20240430T062454Z
UID:8072-1714145400-1714150800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Chirantan Chowdhury (TU Darmstadt): Applications Of Six-Functor Formalisms in Motivic Homotopy Theory of Algebraic Stacks \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240430T160000
DTEND;TZID=Europe/Berlin:20240430T170000
DTSTAMP:20260531T172332
CREATED:20240429T082819Z
LAST-MODIFIED:20240429T082819Z
UID:8311-1714492800-1714496400@crc326gaus.de
SUMMARY:A new zero-free region for Rankin-Selberg L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nJesse Thorner (UIUC) \nhttps://tu-darmstadt.zoom.us/j/68048280736
URL:https://crc326gaus.de/event/a-new-zero-free-region-for-rankin-selberg-l-functions/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T143000
DTEND;TZID=Europe/Berlin:20240503T153000
DTSTAMP:20260531T172332
CREATED:20240422T074136Z
LAST-MODIFIED:20240422T074136Z
UID:8243-1714746600-1714750200@crc326gaus.de
SUMMARY:Nobodies are perfect\, semigroups are not.
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2024) \nKarin Schaller (FU Berlin) \nAbstract: NObodies are asymptotic limits of certain valuation semigroups. Their construction depends on a given flag of subvarieties. We investigate toric surfaces together with non-toric flags and determine when the associated valuation semigroups are finitely generated. This is a joint work with K. Altmann\, C. Haase\, A. Küronya\, and L. Walter.
URL:https://crc326gaus.de/event/nobodies-are-perfect-semigroups-are-not/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T153000
DTEND;TZID=Europe/Berlin:20240503T170000
DTSTAMP:20260531T172332
CREATED:20240405T092117Z
LAST-MODIFIED:20240430T062912Z
UID:8075-1714750200-1714755600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Tariq Syed (Johannes Gutenberg-Universität Mainz):  Motivic cohomology of cyclic coverings \nMany examples of topologically contractible smooth affine complex varieties are given by cyclic coverings. In this talk\, we present new results on the motivic cohomology of such cyclic coverings. \nZoom 635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-2/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T160000
DTEND;TZID=Europe/Berlin:20240503T170000
DTSTAMP:20260531T172332
CREATED:20240422T074409Z
LAST-MODIFIED:20240422T074409Z
UID:8245-1714752000-1714755600@crc326gaus.de
SUMMARY:The realization space of a matroid
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2024) \nLukas Kühne (Universität Bielefeld) \nAbstract: A matroid is a fundamental and widely studied object in combinatorics. Following a brief introduction to matroids\, I will showcase parts of a new OSCAR module for matroids using several examples. My emphasis will be on the computation of the realization space of a matroid\, which is the space of all hyperplane arrangements that have the given matroid as their intersection lattice. \nIn the second part\, I will discuss an application in the realm of algebraic geometry\, namely a novel connection between matroid realization spaces and the elliptic modular surfaces.
URL:https://crc326gaus.de/event/the-realization-space-of-a-matroid/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240507T160000
DTEND;TZID=Europe/Berlin:20240507T170000
DTSTAMP:20260531T172332
CREATED:20240429T083020Z
LAST-MODIFIED:20240502T093807Z
UID:8313-1715097600-1715101200@crc326gaus.de
SUMMARY:Quadratic reciprocity in a polynomial ring
DESCRIPTION:International Seminar on Automorphic Forms \nWilliam Duke (UCLA) \nI will give a characterization of when a kind of quadratic reciprocity holds for irreducible polynomials whose coefficients are in a number field. The method is based on Gauss’s second proof of classical quadratic reciprocity using binary quadratic forms. \nhttps://tu-darmstadt.zoom.us/j/68048280736
URL:https://crc326gaus.de/event/tba-101/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240514T160000
DTEND;TZID=Europe/Berlin:20240514T170000
DTSTAMP:20260531T172332
CREATED:20240429T083153Z
LAST-MODIFIED:20240506T091305Z
UID:8315-1715702400-1715706000@crc326gaus.de
SUMMARY:Gan-Gross-Prasad cycles and derivatives of p-adic L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nDaniel Disegni (Aix-Marseille University) \nCertain Rankin-Selberg motives of rank n(n+1) are endowed with algebraic cycles arising from maps of unitary Shimura varieties. Gan-Gross-Prasad conjectured that these cycles are analogous to Heegner points\, in the sense that their nontriviality should be detected by derivatives of L-functions.\nI will propose another nontriviality criterion\, based on p-adic L-functions. Under some local conditions\, this variant can be established in a refined quantitative form\, via the construction and comparison two p-adic relative-trace formulas. (Joint work with Wei Zhang.) \nhttps://tu-darmstadt.zoom.us/j/68048280736
URL:https://crc326gaus.de/event/tba-102/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240517T133000
DTEND;TZID=Europe/Berlin:20240517T150000
DTSTAMP:20260531T172332
CREATED:20240430T141407Z
LAST-MODIFIED:20240430T141407Z
UID:8391-1715952600-1715958000@crc326gaus.de
SUMMARY:Density of rational points near manifolds
DESCRIPTION:Damaris Schindler (Universität Göttingen) \nGiven a bounded submanifold M in R^n\, how many rational points with common bounded denominator are there in a small thickening of M? Under what conditions can we count them asymptotically as the size of the denominator goes to infinity? I will discuss some recent work in this direction and arithmetic applications such as Serre’s dimension growth conjecture as well as applications in Diophantine approximation. For this I’ll focus on joint work with Shuntaro Yamagishi\, as well as joint work with Rajula Srivastava and Niclas Technau.
URL:https://crc326gaus.de/event/density-of-rational-points-near-manifolds/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240517T153000
DTEND;TZID=Europe/Berlin:20240517T170000
DTSTAMP:20260531T172332
CREATED:20240405T092314Z
LAST-MODIFIED:20240430T062929Z
UID:8077-1715959800-1715965200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Nathan Tiggemann (TU Darmstadt) \nZoom 635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-3/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240521T080000
DTEND;TZID=Europe/Berlin:20240521T170000
DTSTAMP:20260531T172332
CREATED:20240429T084357Z
LAST-MODIFIED:20240514T125556Z
UID:8321-1716278400-1716310800@crc326gaus.de
SUMMARY:Chowla-Selberg phenomenon over function fields
DESCRIPTION:International Seminar on Automorphic Forms \nFu-Tsun Wei (National Tsing Hua University) \nIn this talk\, I will first determine the algebraic relations among various special gamma values over function fields. The result is based on the intrinsic relations between gamma values in question and periods of CM dual t-motives\, which are interpreted in terms of their “distributions”. This enables us to express every “abelian” CM period by a suitable product of special gamma values (up to an algebraic multiple)\, and derive a Chowla–Selberg-type formula in the function field case. \nhttps://tu-darmstadt.zoom.us/j/68048280736
URL:https://crc326gaus.de/event/tba-103/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240522T160000
DTEND;TZID=Europe/Berlin:20240522T173000
DTSTAMP:20260531T172332
CREATED:20240310T103419Z
LAST-MODIFIED:20240517T080211Z
UID:7883-1716393600-1716399000@crc326gaus.de
SUMMARY:Algebraic geometry of the classical Yang-Baxter equation
DESCRIPTION:Oberseminar Algebra und Geometrie \nIgor Burban  (Universität Paderborn) \nAbstract: \nClassical Yang-Baxter equation (CYBE) plays an important role in the modern theory of integrable systems. In a seminal work of Belavin and Drinfeld from the year 1983 it was proven that solutions of CYBE can have one of the following three types: elliptic\, trigonometric or rational. Moreover\, Belavin and Drinfeld gave a complete classification of all elliptic and trigonometric solutions. \nIn my talk\, I am going to explain a geometric description of solutions of (CYBE). Namely\, starting with any geometric datum (E\, A)\, where E is a Weierstraß cubic curve and A a torsion free sheaf of Lie algebras (whose generic fiber is a given complex simple Lie algebra) with vanishing cohomology\, one can associate to it in a canonical way a solution of CYBE. It turns out that all solutions of CYBE arise in this way. Moreover\, the type of the curve in the datum (E\, A) (i.e. smooth/nodal/cuspidal) determines the type of the corresponding solution of CYBE (i.e elliptic/trigonometric/rational).\nThe developed method will be illustrated by explicit examples. This talk is based on my joint works with Raschid Abedin\, Lennart Galinat and Thilo Henrich.
URL:https://crc326gaus.de/event/tba-copy-3/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240524T153000
DTEND;TZID=Europe/Berlin:20240524T170000
DTSTAMP:20260531T172332
CREATED:20240508T110014Z
LAST-MODIFIED:20240508T110014Z
UID:8530-1716564600-1716570000@crc326gaus.de
SUMMARY:Seminar on arithemtic geometry
DESCRIPTION:Torsten Wedhorn (TU Darmstadt): Moduli of truncated shtukas \nZoom 635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithemtic-geometry/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240528T160000
DTEND;TZID=Europe/Berlin:20240528T170000
DTSTAMP:20260531T172332
CREATED:20240515T075300Z
LAST-MODIFIED:20240516T130920Z
UID:8608-1716912000-1716915600@crc326gaus.de
SUMMARY:The rhizomic topology and tropical abelian varieties
DESCRIPTION:Leo Herr (Universität Leiden) \nAbstract:\nThe log etale topology is a natural analogue of the etale topology for log schemes. Unfortunately\, very few things satisfy log etale descent — not even vector bundles or the structure sheaf. We introduce a new rhizomic topology that sits in between the usual and log etale topologies and show most things do satisfy rhizomic descent! As a case study\, we look at tropical abelian varieties and give some exotic examples.
URL:https://crc326gaus.de/event/leo-herr-universitat-leiden/
LOCATION:Frankfurt\, RM-Str. 6-8\, R. 308
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240531T133000
DTEND;TZID=Europe/Berlin:20240531T150000
DTSTAMP:20260531T172332
CREATED:20240524T134332Z
LAST-MODIFIED:20240524T134459Z
UID:8711-1717162200-1717167600@crc326gaus.de
SUMMARY:Isotropic motivic categories
DESCRIPTION:Fabio Tanania (TU Darmstadt) \nIn this talk\, I will introduce the isotropic stable motivic homotopy category\, which is a stable homotopic version of Vishik’s category of isotropic motives. These are local versions of the classical motivic categories SH(k) and DM(k)\, obtained roughly speaking by annihilating motives of anisotropic varieties. When the base field k is flexible\, then isotropic motivic categories have a lot of remarkable properties. As an example\, I will describe the structure of cellular isotropic spectra in terms of well-known objects coming from classical homotopy theory. Then\, I will discuss what is known about the non-cellular part of isotropic motivic categories and state some open questions.
URL:https://crc326gaus.de/event/isotropic-motivic-categories/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240531T153000
DTEND;TZID=Europe/Berlin:20240531T170000
DTSTAMP:20260531T172332
CREATED:20240405T092453Z
LAST-MODIFIED:20240514T125212Z
UID:8079-1717169400-1717174800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Rizacan Ciloglu (TU Darmstadt): Perverse sheaves on twisted affine flag varieties \nZoom 635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-4/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240606T153000
DTEND;TZID=Europe/Berlin:20240606T183000
DTSTAMP:20260531T172332
CREATED:20240206T181647Z
LAST-MODIFIED:20240514T064410Z
UID:7729-1717687800-1717698600@crc326gaus.de
SUMMARY:CRC-Colloquium
DESCRIPTION:15:20 Coffee (or earlier)\n15:30 – 16:30 Georg Tamme (Universität Mainz): Higher algebra and K-theory\n16:30 Coffee and Cake\n17:15 – 18:15 Otmar Venjakob (Universität Heidelberg): Explicit Reciprocity Laws in Number Theory\n18:45 Dinner \nAbstract G. Tamme:\nAlgebraic K-theory\, more precisely the group K_0(X) of a scheme X\, was first introduced by Grothendieck in order to formulate and prove a very general Riemann-Roch theorem. Subsequently\, lower (i.e. K_i for i<0) and higher (i.e. K_i for i>0) K-groups have been introduced by Bass\, Milnor\, Quillen\, and Thomason. They have turned out to be a rich invariant\, playing an important role in various fields such as number theory and topology. Although explicit computations of K-groups remain challenging\, modern methods from higher algebra and derived algebraic geometry have led to several breakthrough structural results concerning these groups. In the talk\, I will give an introduction to these topics and\, time permitting\, discuss some recent applications. \nAbstract O. Venjakob:\nThe quadratic Reciprocity Law for the Legendre or Jacobi-Symbol forms the starting point of all Reciprocity Laws as well as of class field theory. It is closely related to the product formula of the quadratic Hilbert-Symbol over local fields. Various mathematicians have established higher explicit formulae to compute higher Hilbert-Symbols. Analogs were found for formal (Lubin-Tate) groups. Eventually Perrin-Riou has formulated a Reciprocity Law\, which allows the explicit computation of local cup product pairings by means of Iwasawa- and p-adic Hodge Theory. In this talk I shall try to give an overview of these topics\, at the end I will explain recent developments in this regard.
URL:https://crc326gaus.de/event/crc-colloquium-2/
LOCATION:Darmstadt Gebäude S1|15\, Hörsaal 133
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240607T133000
DTEND;TZID=Europe/Berlin:20240607T150000
DTSTAMP:20260531T172332
CREATED:20240531T140523Z
LAST-MODIFIED:20240531T140523Z
UID:8729-1717767000-1717772400@crc326gaus.de
SUMMARY:Zagier’s conjecture on polylogarithms: from function fields to number fields
DESCRIPTION:Quentin Gazda (CMLS Palaiseau) \nZagier’s conjecture is a certain formulation of the following slogan: linear relations among polylogarithms evaluated at algebraic numbers arise from relations between K-theory symbols. By identifying the different attributes of this conjecture\, one can state and prove a similar version in arithmetic of function fields. Classical polylogarithms are then replaced by those of Carlitz. The proof\, very different from the techniques developed so far\, uses ingredients from the theory of difference equations. It involves deformations of Carlitz polylogarithms where a new variable $t$ appears. This results from a joint work with A. Maurischat.\nWhile we currently lack the technology to reproduce this argument in number theory\, it is amusing to speculate on a hypothetical transcription. $q$-deformations of polylogarithms then replace these « $t$-deformations ». With T. Bouis\, we recently encountered versions of $q$-polylogarithms in the syntomic Chern class introduced by Bhatt-Lurie. This is encouraging…! I will mention these works in a second part of the presentation.
URL:https://crc326gaus.de/event/zagiers-conjecture-on-polylogarithms-from-function-fields-to-number-fields/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="O%C4%9Fuz Gezmi%C5%9F":MAILTO:oguz.gezmis@iwr.uni-heidelberg.de
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END:VCALENDAR