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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231201T133000
DTEND;TZID=Europe/Berlin:20231201T150000
DTSTAMP:20260531T134650
CREATED:20231117T115653Z
LAST-MODIFIED:20231124T131815Z
UID:7042-1701437400-1701442800@crc326gaus.de
SUMMARY:A "Galois" categorical p-adic local Langlands for GL(2\,Qp)
DESCRIPTION:Christian Johansson (Universität Göteborg) \nI will introduce the p-adic local Langlands correspondence for GL(2\,Qp)\, in the forms established by Colmez and Paskunas\, and then give an interpretation of it as an embedding of categories (a form of “localization”). Time permitting\, I will also discuss local-global formulas for singular cohomology of modular curves that you can get from this framework. This is joint work with James Newton and Carl Wang-Erickson.
URL:https://crc326gaus.de/event/tba-60/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231201T153000
DTEND;TZID=Europe/Berlin:20231201T170000
DTSTAMP:20260531T134650
CREATED:20231016T110225Z
LAST-MODIFIED:20231121T073143Z
UID:6694-1701444600-1701450000@crc326gaus.de
SUMMARY:Wonderful compactification over an arbitrary base scheme
DESCRIPTION:Seminar on Arithmetic Geometry \nWonderful compactifications of adjoint reductive groups over an algebraically closed field play an important role in algebraic geometry and representation theory. In this talk\, we will construct an equivariant compactification for adjoint reductive groups over arbitrary base schemes\, which parameterize classical wonderful compactifications of De Concini and Procesi as geometric fibers. Our construction is based on a variant of the Artin–Weil method of birational group laws. In particular\, our construction gives a new intrinsic construction of wonderful compactifications. If time permits\, we will also discuss several applications of our compactification in the study of torsors under reductive group schemes. \nShang Li (Paris-Saclay University) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-84/
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:20231205T153000
DTEND;TZID=Europe/Berlin:20231205T170000
DTSTAMP:20260531T134650
CREATED:20231016T110452Z
LAST-MODIFIED:20231128T125246Z
UID:6696-1701790200-1701795600@crc326gaus.de
SUMMARY:Theta functions for the projective plane relative a smooth cubic
DESCRIPTION:Seminar on Arithmetic Geometry \nHelge Ruddat (University of Stavanger) \nGross-Hacking-Siebert generalized the classical Jacobi theta function from abelian varieties to more general log Calabi-Yau manifolds. Landau-Ginzburg superpotentials in mathematical physics give particular examples of such theta functions. Zaslow\, Gräfnitz and I compute the Landau-Ginzburg superpotential of the mirror symmetry dual of P^2 relative a smooth elliptic curve. This infinite power series is tropically defined and can be identified with a generating function for 2-contact point rational Gromov-Witten invariants of (X\,E). We found that this series also equals the open mirror map for outer Aganagic-Vafa branes in the canonical bundle K_X\, so it is closely related to a solution to a Lerche-Mayr system of two differential equations and it is also a generating function of holomorphic disk counts. The fundamental structure used to study theta functions is the wall structure. I am going to explain the background and usefulness of this recent technology. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-85/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231205T160000
DTEND;TZID=Europe/Berlin:20231205T170000
DTSTAMP:20260531T134650
CREATED:20231009T104848Z
LAST-MODIFIED:20231128T105630Z
UID:6411-1701792000-1701795600@crc326gaus.de
SUMMARY:Murmurations of holomorphic modular forms in the weight aspect
DESCRIPTION:International Seminar on Automorphic Forms \nMin Lee (University of Bristol) \nIn April 2022\, He\, Lee\, Oliver\, and Pozdnyakov made an interesting discovery using machine learning – a surprising correlation between the root numbers of elliptic curves and the coefficients of their L-functions. They coined this correlation ‘murmurations of elliptic curves.’ Naturally\, one might wonder whether we can identify a common thread of ‘murmurations’ in other families of L-functions. In this talk\, I will introduce a joint work with Jonathan Bober\, Andrew R. Booker and David Lowry-Duda\, demonstrating murmurations in holomorphic modular forms. \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/tba-67/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231206T160000
DTEND;TZID=Europe/Berlin:20231206T170000
DTSTAMP:20260531T134650
CREATED:20231120T080333Z
LAST-MODIFIED:20231127T102533Z
UID:7047-1701878400-1701882000@crc326gaus.de
SUMMARY:Global Smoothings of Toroidal Crossing Varieties
DESCRIPTION:Oberseminar Algebra und Geometrie \nHelge Ruddat (University of Stavanger) \nAs a natural generalization of normal crossing singularities\, I am going to define toroidal crossing singularities and toroidal crossing varieties and explain how to produce them in large quantities by subdividing lattice polytopes. I will then explain the statement of a global smoothing theorem proved jointly with Felten and Filip. The theorem follows the tradition of well-known theorems by Friedman\, Kawamata-Namikawa and Gross-Siebert. In order to apply a variant of the theorem to construct (conjecturally all) projective Fano manifolds with non-empty anticanonical divisor\, Corti and Petracci discovered the necessity to allow for particular singular log structures that are known by the inspiring name “admissible”‘. I will explain the beautiful classical geometric curve-in-surface geometry that underlies this notion and hint at why we believe that we can feed these singular log structures into the smoothing theorem in order to produce all 98 Fano threefolds with very ample anticanonical class by a single method.
URL:https://crc326gaus.de/event/tba-94/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231212T160000
DTEND;TZID=Europe/Berlin:20231212T170000
DTSTAMP:20260531T134650
CREATED:20231009T105043Z
LAST-MODIFIED:20231204T084236Z
UID:6413-1702396800-1702400400@crc326gaus.de
SUMMARY:Resonances of Schottky surfaces
DESCRIPTION:International Seminar on Automorphic Forms \nAnke Pohl (University of Bremen) \nThe investigation of L^2-Laplace eigenvalues and eigenfunctions for hyperbolic surfaces of finite area is a classical and exciting topic at the intersection of number theory\, harmonic analysis and mathematical physics. In stark contrast\, for (geometrically finite) hyperbolic surfaces of infinite area\, the discrete L^2-spectrum is finite. A natural replacement are the resonances of the considered hyperbolic surface\, which are the poles of the meromorphically continued resolvent of the Laplacian. \nThese spectral entities also play an important role in number theory and various other fields\, and many fascinating results about them have already been found; the generalization of Selberg’s 3/16-theorem by Bourgain\, Gamburd and Sarnak is a well-known example. However\, an enormous amount of the properties of such resonances\, also some very elementary ones\, is still undiscovered. A few years ago\, by means of numerical experiments\, Borthwick noticed for some classes of Schottky surfaces (hyperbolic surfaces of infinite area without cusps and conical singularities) that their sets of resonances exhibit unexcepted and nice patterns\, which are not yet fully understood. \nAfter a brief survey of some parts of this field\, we will discuss an alternative numerical method\, combining tools from dynamics\, zeta functions\, transfer operators and thermodynamic formalism\, functional analysis and approximation theory. The emphasis of the presentation will be on motivation\, heuristics and pictures. This is joint work with Oscar Bandtlow\, Torben Schick and Alex Weisse. \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/tba-68/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231214T141500
DTEND;TZID=Europe/Berlin:20231214T151500
DTSTAMP:20260531T134650
CREATED:20231012T090245Z
LAST-MODIFIED:20231207T075847Z
UID:6652-1702563300-1702566900@crc326gaus.de
SUMMARY:Quadratic Atiyah-Bott Localisation
DESCRIPTION:Alessandro d’Angelo (Stockholm) \nAbstract: The Atiyah-Bott localisation theorem and the Graber-Pandharipande virtual localisation formula are standard tools for studying enumerative problems in the presence of a torus action. M. Levine proved similar results for Witt sheaf cohomology\, allowing us to retain quadratic information about the enumerative count. We will show how to extend the Atiyah-Bott localisation theorem to any SL-oriented motivic spectrum\, once the algebraic Hopf map is inverted. As an application\, we will also provide the appropriate virtual localisation formula for fundamental classes in this context. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-78/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231214T143000
DTEND;TZID=Europe/Berlin:20231214T153000
DTSTAMP:20260531T134650
CREATED:20231107T120412Z
LAST-MODIFIED:20231204T112155Z
UID:6926-1702564200-1702567800@crc326gaus.de
SUMMARY:Stationary Descendents and the Discriminant Modular Form
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2023/24) \nAdam Afandi (Universität Münster) \nAbstract: By using the Gromov-Witten/Hurwitz correspondence\, Okounkov and Pandharipande showed that certain generating functions of stationary descendent Gromov-Witten invariants of a smooth elliptic curve are quasimodular forms. In this talk\, I will discuss the various ways one can express the discriminant modular form in terms of these generating functions. The motivation behind this calculation is to provide a new perspective on tackling a longstanding conjecture of Lehmer from the middle of the 20th century; Lehmer posited that the Ramanujan tau function (i.e. the Fourier coefficients of the discriminant modular form) never vanishes. The connection with Gromov-Witten invariants allows one to translate Lehmer’s conjecture into a combinatorial problem involving characters of the symmetric group and shifted symmetric functions.
URL:https://crc326gaus.de/event/tba-92/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231214T160000
DTEND;TZID=Europe/Berlin:20231214T170000
DTSTAMP:20260531T134650
CREATED:20231107T121051Z
LAST-MODIFIED:20231204T112026Z
UID:6928-1702569600-1702573200@crc326gaus.de
SUMMARY:Refined tropical curve counting with descendants
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Winter Semester 2023/24) \nAjith Urundolil-Kumaran (University of Cambridge) \nAbstract: We introduce the enumerative geometry of curves in the algebraic torus (C*)^2. We show that a certain class of invariants associated with moduli spaces of curves in (C*)^2 can be calculated explicitly using a refined tropical correspondence theorem. If time permits we will explain how the proof relies on higher double ramification cycles and work of Buryak-Rossi on integrable systems on the moduli space of curves. This is joint work with Patrick Kennedy-Hunt and Qaasim Shafi. \n 
URL:https://crc326gaus.de/event/tba-93/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231215T133000
DTEND;TZID=Europe/Berlin:20231215T150000
DTSTAMP:20260531T134650
CREATED:20231206T105109Z
LAST-MODIFIED:20231206T105410Z
UID:7399-1702647000-1702652400@crc326gaus.de
SUMMARY:Torsion in Griffiths Groups
DESCRIPTION:Theodosis Alexandrou (Universität Hannover) \nThe Griffiths group $Griff^{i}(X)$ of a smooth complex projective variety $X$ is the group of nullhomologous codimension$-i$ cycles on $X$ modulo algebraic equivalence. Recently Schreieder gave the first examples of smooth complex projective varieties $X$ for which the Griffiths group has infinite torsion. In his examples the infinitely many torsion classes are of order 2. In this talk we show that for any integer $n\geq 2$\, there is a smooth complex projective $5-$fold $X$ whose third Griffiths group contains infinitely many torsion elements of order $n$.
URL:https://crc326gaus.de/event/torsion-in-griffiths-groups/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231215T153000
DTEND;TZID=Europe/Berlin:20231215T170000
DTSTAMP:20260531T134650
CREATED:20231016T110711Z
LAST-MODIFIED:20231205T130426Z
UID:6698-1702654200-1702659600@crc326gaus.de
SUMMARY:Motivic Linking
DESCRIPTION:Seminar on Arithmetic Geometry \nClémentine Lemarié—Rieusset (University of Burgundy) \nIn this talk I will present motivic linking\, a new application in algebraic geometry of motivic homotopy theory (specifically\, of quadratic intersection theory). Over a perfect field F\, motivic linking consists in the study of how two (nice) closed F-subschemes of a (nice) ambient F-scheme are linked (i.e. intertwined) and is a counterpart to linking in knot theory. More specifically\, I will present counterparts in algebraic geometry to the linking number of two oriented disjoint knots (the number of times one of the knots turns around the other knot). For the most part\, these counterparts take values in the Witt group of F or in the Grothendieck-Witt group of F\, rather than in the group of integers. There will be several examples\, including closed immersions between smooth models of motivic spheres and closed immersions between projective spaces. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-86/
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:20231222T153000
DTEND;TZID=Europe/Berlin:20231222T170000
DTSTAMP:20260531T134650
CREATED:20231016T110911Z
LAST-MODIFIED:20231215T072743Z
UID:6700-1703259000-1703264400@crc326gaus.de
SUMMARY:Deformations of $(G\,\mu)$-Displays
DESCRIPTION:Seminar on Arithmetic Geometry \nMohammad Hadi Hedayatzadeh (Institute for Research in Fundamental Sciences) \nIn this talk\, I will discuss a joint project with A. Partofard\, on prismatic displays with additional structures. I will start with a concise overview of the theory of displays developed by Th. Zink\, which serves as a generalization of Dieudonné theory. Displays play a crucial role in the study of Barsotti-Tate groups when the base is not a perfect field of positive characteristic. Zink has further expanded the theory by introducing windows over frames. In another direction\, in order to construct integral models of certain Shimura varieties that are not of Abelian type\, O. Bültel defined and studied displays with additional structures called $(G\,\mu)$-displays. \nIn this joint project with Partofard\, we define and study the stack of prismatic $(G\,\mu)$-displays over the quasi-syntomic site\, which is better adapted to the setting of pefectoid geometry and is closely related to the stack of $G$-torsors over the Fargues-Fontaine curve and local Shimura varieties. When $G$ is the general linear group\, our stack is the same as the stack of admissible prismatic $F$-crystals developed by Anschütz-LeBras\, which is equivalent to the stack of $p$-divisible groups. We also prove a Grothendieck-Messing style deformation result for these prismatic displays\, which\, for the general linear group\, answers a question of Anschütz-LeBras. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-87/
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
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