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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231020T133000
DTEND;TZID=Europe/Berlin:20231020T150000
DTSTAMP:20260531T220331
CREATED:20231006T142742Z
LAST-MODIFIED:20231006T142742Z
UID:6347-1697808600-1697814000@crc326gaus.de
SUMMARY:Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
DESCRIPTION:Prof. Dr. Chun Yin Hui (University of Hongkong ) \nGiven a compatible system {rho_lambda : Gal_K to GL_n(E_lambda)}_lambda of semisimple lambda-adic representations of a number field K satisfying mild local conditions\, we prove that for almost all lambda any type A irreducible subrepresentation of rho_lambda otimes overline Q_ell  is residually irreducible.\nWe apply this result and some potential automorphy theorem to\nprove that rho_ lambda otimes overline Q_ell is residually irreducible for\nalmost all lambda if the compatible system is attached to a regular algebraic\, polarized\, cuspidal automorphic representation of GL_n(A_Q) and n leq 6. \n 
URL:https://crc326gaus.de/event/monodromy-of-subrepresentations-and-irreducibility-of-low-degree-automorphic-galois-representations/
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:20231020T153000
DTEND;TZID=Europe/Berlin:20231020T170000
DTSTAMP:20260531T220331
CREATED:20231009T122541Z
LAST-MODIFIED:20231013T122119Z
UID:6424-1697815800-1697821200@crc326gaus.de
SUMMARY:On a C_2-equivariant Gabber lemma
DESCRIPTION:Seminar on Arithmetic Geometry \nTom Bachmann (University of Mainz) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-73/
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:20231024T160000
DTEND;TZID=Europe/Berlin:20231024T170000
DTSTAMP:20260531T220331
CREATED:20231009T101116Z
LAST-MODIFIED:20231219T123018Z
UID:6398-1698163200-1698166800@crc326gaus.de
SUMMARY:Siegel modular forms and higher algebraic cycles
DESCRIPTION:International Seminar on Automorphic Forms \nAleksander Horawa (University of Oxford) \nAbstract: In recent work with Kartik Prasanna\, we propose an explicit relationship between the cohomology of vector bundles on Siegel modular threefolds and higher Chow groups (aka motivic cohomology groups). For Yoshida lifts of Hilbert modular forms\, we use a result of Ramakrishnan to prove our conjecture. For Yoshida lifts of Bianchi modular forms\, we show that our conjecture implies the conjecture of Prasanna—Venkatesh. \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/siegel-modular-forms-and-higher-algebraic-cycles/
LOCATION:Online
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231025T160000
DTEND;TZID=Europe/Berlin:20231025T170000
DTSTAMP:20260531T220331
CREATED:20230626T061112Z
LAST-MODIFIED:20231123T135106Z
UID:5977-1698249600-1698253200@crc326gaus.de
SUMMARY:Various implications of the Nagao-Mestre sum
DESCRIPTION:Oberseminar Algebra und Geometrie \nSeoyoung Kim (Universität Göttingen) \nIn 1965\, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank $r$ of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges\, then the limit equals $-r+1/2$\, and study the connections to the Riemann hypothesis for E. We also relate this to Nagao’s conjecture. Furthermore\, we discuss a generalization of the above results for the Selberg classes and hence (conjecturally) for larger classes of  $L$-functions.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231026T141500
DTEND;TZID=Europe/Berlin:20231026T151500
DTSTAMP:20260531T220331
CREATED:20230928T084916Z
LAST-MODIFIED:20231019T121430Z
UID:6277-1698329700-1698333300@crc326gaus.de
SUMMARY:Motivic cohomology of mixed characteristic schemes
DESCRIPTION:Tess Bouis (Université Paris-Saclay) \nAbstract:\nI will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular\, it is non-A1-invariant in general\, but it recovers classical motivic cohomology on smooth schemes over a Dedekind domain after A1-localisation. The construction relies on the syntomic cohomology of Bhatt-Morrow-Scholze and the cdh-local motivic cohomology of Bachmann-Elmanto-Morrow\, and generalises the construction of Elmanto-Morrow in the case of schemes over a field. \nZoom: \nMeeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-51/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231027T153000
DTEND;TZID=Europe/Berlin:20231027T170000
DTSTAMP:20260531T220331
CREATED:20231009T123010Z
LAST-MODIFIED:20231017T080114Z
UID:6427-1698420600-1698426000@crc326gaus.de
SUMMARY:Equivariant localization theorems
DESCRIPTION:Seminar on Arithmetic Geometry \nCharanya Ravi (Indian Statistical Institute\, Bangalore Centre) \nThe classical Atiyah-Bott localization theorem in equivariant singular cohomology is one of the primary computational tools in enumerative geometry when the relevant parameter space has a natural torus action. The theorem asserts that the equivariant cohomology of a space with group action can be recovered\, up to inversion of some elements\, from the equivariant cohomology of the fixed point subspace. To understand various moduli problems\, there is a need to access general parameter spaces (singular and stacky) and to produce refined counts (in different cohomology theories). \nThis talk will first discuss a unified Atiyah-Bott localization theorem for equivariant Borel-Moore homology theories of algebraic stacks. We will then discuss a categorified version of the result which allows us to deduce the theorem for all oriented theories (cohomology and Borel-Moore homology). The talk is based on joint works with Dhyan Aranha\, Adeel Khan\, Alyosha Latyntsev\, and Hyeonjun Park. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-74/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231031T160000
DTEND;TZID=Europe/Berlin:20231031T170000
DTSTAMP:20260531T220331
CREATED:20231009T103943Z
LAST-MODIFIED:20231026T064356Z
UID:6401-1698768000-1698771600@crc326gaus.de
SUMMARY:Arithmeticity of modular forms on G_2
DESCRIPTION:International Seminar on Automorphic Forms \nAaron Pollack (University of California San Diego) \nHolomorphic modular forms on Hermitian tube domains have a good notion of Fourier expansion and Fourier coefficients. These Fourier coefficients give the holomorphic modular forms an arithmetic structure: there is a basis of the space of holomorphic modular forms for which all Fourier coefficients of all elements of the basis are algebraic numbers. The group G_2 does not have an associated Shimura variety\, but nevertheless there is a class of automorphic functions on G_2 which possess a semi-classical Fourier expansion\, called the quaternionic modular forms. I will explain the proof that (in even weight at least 6) the cuspidal quaternionic modular forms possess an arithmetic structure\, defined in terms of Fourier coefficients. \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-62/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231103T133000
DTEND;TZID=Europe/Berlin:20231103T150000
DTSTAMP:20260531T220331
CREATED:20231025T124448Z
LAST-MODIFIED:20231025T124448Z
UID:6803-1699018200-1699023600@crc326gaus.de
SUMMARY:Automorphy Lifting with Ĝ-adequate image
DESCRIPTION:Dmitri Whitmore (University of Cambridge) \nLet F be a number field and G a (split) reductive group. The Langlands program attempts to relate\n(1) automorphic representations of G\n(2) representations of the absolute Galois group of F valued in Ĝ\, the dual group of G.\nAutomorphy lifting theorems are a way to go from (2) to (1). Such theorems are proved using the Taylor–Wiles method but require certain ‘big image’ hypotheses. \nWe discuss a generalization of the Taylor–Wiles method. Our generalization results in a weakened big image condition (Ĝ-adequate image)\, which turns out to hold under certain irreducibility hypotheses. We conclude with applications to modularity of some elliptic curves over quadratic extensions of totally real fields\, building on work of Boxer–Calegari–Gee–Pilloni.
URL:https://crc326gaus.de/event/automorphy-lifting-with-g-adequate-image/
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:20231103T153000
DTEND;TZID=Europe/Berlin:20231103T170000
DTSTAMP:20260531T220331
CREATED:20231009T123208Z
LAST-MODIFIED:20231026T093620Z
UID:6429-1699025400-1699030800@crc326gaus.de
SUMMARY:Non-archimedean integration on quotients and BPS-invariants
DESCRIPTION:Seminar on Arithmetic Geometry \nDimitri Wyss (École Polytechnique Fédérale de Lausanne) \nIn previous work with F. Carocci and G. Orecchia we discovered that BPS-invariants appearing in Donaldson-Thomas theory for moduli of sheaves on del Pezzo surfaces admit a natural interpretation as non-archimedean integrals. Motivated by this\, we develop a non-archimedean integration theory for smooth Artin stacks and obtain as application a new expression of these BPS invariants. In particular this gives a new proof of Maulik-Shen’s $\chi$-independence result for del Pezzo surfaces. This is joint work in progress with Michael Groechenig and Paul Ziegler. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-75/
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:20231106T173000
DTEND;TZID=Europe/Berlin:20231106T190000
DTSTAMP:20260531T220331
CREATED:20231106T120226Z
LAST-MODIFIED:20231106T120240Z
UID:6909-1699291800-1699297200@crc326gaus.de
SUMMARY:Around Deligne's companion conjecture
DESCRIPTION:Zhou Yuenian ((Université Paris Saclay)
URL:https://crc326gaus.de/event/around-delignes-companion-vonjecture/
LOCATION:Darmstadt
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231108T164500
DTEND;TZID=Europe/Berlin:20231108T180000
DTSTAMP:20260531T220331
CREATED:20231115T130147Z
LAST-MODIFIED:20231212T123220Z
UID:7004-1699461900-1699466400@crc326gaus.de
SUMMARY:Linear Relations of 1-Periods
DESCRIPTION:Frankfurter Seminar – Kolloquium des Instituts für Mathematik \nAnnette Huber-Klawitter (Universität Freiburg) \nAbstract: 1-Periods are complex numbers obtained by integrating an algebraic $1$-form defined over $\mathbf{Q}$ (e.g. $dx/x$) over a chain with algebraic end points. The set contains many interesting numbers (e.g.\, the values of $\log$ in algebraic numbers). Their transcendence and the relations between them are a classical question of transcendence theory. \nWe now have complete picture\, explaining the relations qualitatively in terms of obvious relations and also quantitatively\, by which we mean dimension formulas. \nIn the talk we are going to explain some of these general results and then discuss the application to the values of the hypergeometric function–recovering results of Wolfart. (joint work with G. Wüstholz)
URL:https://crc326gaus.de/event/linear-relations-of-1-periods/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231109T141500
DTEND;TZID=Europe/Berlin:20231109T151500
DTSTAMP:20260531T220331
CREATED:20230928T085309Z
LAST-MODIFIED:20231031T080227Z
UID:6279-1699539300-1699542900@crc326gaus.de
SUMMARY:Hodge Witt cohomology with modulus and duality
DESCRIPTION:Kay Rülling (Universität Wuppertal) \nAbstract: The theory of cube invariant modulus sheaves developed by Kahn-Miyazaki-Saito-Yamazaki allows to define for any sheaf with transfers and any smooth k-scheme X with effective Cartier divisor D a sheaf whose sections over X can be interpreted as regular sections on the complement of D with pole order at infinity bounded by D. This construction is functorial and has a certain universal property\, which makes it hard to compute explicitly. We apply it to the de Rham-Witt sheaves in positive characteristic p and show that in case the support of D has simple normal crossings these sheaves correspond under Grothendieck duality to de Rham Witt sheaves with zeros along D. From this we deduce refined versions of Ekedahl duality\, Poincaré duality for crystalline cohomology\, and Milne duality for motivic cohomology with p-primary torsion coefficients. This is joint work with Fei Ren. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-61/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231110T153000
DTEND;TZID=Europe/Berlin:20231110T170000
DTSTAMP:20260531T220331
CREATED:20231016T105750Z
LAST-MODIFIED:20231102T092256Z
UID:6688-1699630200-1699635600@crc326gaus.de
SUMMARY:Embedded normality in affine Grassmannians
DESCRIPTION:Seminar on Arithmetic Geometry \nJoão Lourenço (University of Münster) \nAbstract: Let k/F_p be an algebraically closed field and let G be any connected reductive group over a Laurent series field. To a given parahoric group model of G\, we can consider its affine Grassmannian which carry interesting parahoric orbit closures\, called Schubert varieties. It is known that these are always normal\, Cohen-Macaulay\, rational\, etc. for almost all G\, provided p is not torsion for G_der. The general strategy of proof goes back to Faltings\, but it is far from ideal\, as it relies on at least two constructions that cannot be done uniformly for all G. In this talk\, I’ll explain a new proof that circumvents this via two techniques: inversion of adjunction for splinters following Bhatt et al. (joint with Cass); and a Serre presentation for distributions of loop groups. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-81/
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:20231114T160000
DTEND;TZID=Europe/Berlin:20231114T170000
DTSTAMP:20260531T220331
CREATED:20231009T104327Z
LAST-MODIFIED:20231106T132454Z
UID:6405-1699977600-1699981200@crc326gaus.de
SUMMARY:Harris–Venkatesh plus Stark
DESCRIPTION:International Seminar on Automorphic Forms \nRobin Zhang (Massachusetts Institute of Technology) \nThe class number formula describes the behavior of the Dedekind zeta function at $s = 0$ and $s = 1$. The Stark and Gross conjectures extend the class number formula\, describing the behavior of Artin $L$-functions and $p$-adic $L$-functions at $s = 0$ and $s = 1$ in terms of units. The Harris–Venkatesh conjecture describes the residue of Stark units modulo $p$\, giving a modular analogue to the Stark and Gross conjectures while also serving as the first verifiable part of the broader conjectures of Venkatesh\, Prasanna\, and Galatius. In this talk\, I will draw an introductory picture\, formulate a unified conjecture combining Harris–Venkatesh and Stark for weight one modular forms\, and describe the proof of this in the imaginary dihedral case. \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-64/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231116T141500
DTEND;TZID=Europe/Berlin:20231116T151500
DTSTAMP:20260531T220331
CREATED:20231012T085727Z
LAST-MODIFIED:20231108T085912Z
UID:6648-1700144100-1700147700@crc326gaus.de
SUMMARY:Bordism of commuting involutions
DESCRIPTION:Markus Hausmann (Bonn) \nAbstract: The bordism ring of manifolds equipped with an involution was computed additively by Conner-Floyd (1965) and multiplicatively by Alexander (1972). Alexander’s description is explicit but complicated and doesn’t seem to enjoy a simple algebraic interpretation.\nIn this talk I will discuss that if one extends the problem and\n1) considers the collection of bordism rings of manifolds with n commuting involutions for all n\, and\n2) takes into account the representation sphere-grading\,\nthen there is a simple algebraic universal property. \nThis is joint work with Stefan Schwede. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-76/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231117T133000
DTEND;TZID=Europe/Berlin:20231117T150000
DTSTAMP:20260531T220331
CREATED:20231103T134345Z
LAST-MODIFIED:20231103T134345Z
UID:6906-1700227800-1700233200@crc326gaus.de
SUMMARY:Drinfeld modular forms of arbitrary rank and their partial derivatives
DESCRIPTION:Oğuz Gezmiş (Universität Heidelberg) \nIn the 1980s\, David Goss introduced Drinfeld modular forms in the rank two case where the analogy with the setting of elliptic modular forms was quite striking. Recently\, using the work of Häberli and Pink\, Basson\, Breuer\, and Pink successfully generalized the theory of Drinfeld modular forms to the arbitrary rank setting and provided explicit examples. In this talk\, we describe several identities on the derivatives of Drinfeld modular forms of higher rank and introduce a differential operator acting on the space of such forms. Moreover\, we construct a finitely generated algebra containing all the Drinfeld modular forms for the full modular group and discuss its stability under partial derivatives as well as the transcendence of its generators at CM points. This is a joint work with Yen-Tsung Chen. \n 
URL:https://crc326gaus.de/event/drinfeld-modular-forms-of-arbitrary-rank-and-their-partial-derivatives/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231117T153000
DTEND;TZID=Europe/Berlin:20231117T170000
DTSTAMP:20260531T220331
CREATED:20231016T105925Z
LAST-MODIFIED:20231106T131959Z
UID:6690-1700235000-1700240400@crc326gaus.de
SUMMARY:Factorization central extensions of the loop group
DESCRIPTION:Seminar on Arithmetic Geometry \nYifei Zhao (University of Münster) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-82/
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:20231121T160000
DTEND;TZID=Europe/Berlin:20231121T170000
DTSTAMP:20260531T220331
CREATED:20231009T104539Z
LAST-MODIFIED:20231113T102401Z
UID:6407-1700582400-1700586000@crc326gaus.de
SUMMARY:Around the Gauss circle problem
DESCRIPTION:International Seminar on Automorphic Forms \nSteve Lester (King’s College London) \nHardy conjectured that the error term arising from approximating the number of lattice points lying in a radius-R disc by its area is O(R^{1/2+o(1)}). One source of support for this conjecture is a folklore heuristic that uses i.i.d. random variables to model the lattice points lying near the boundary and square-root cancellation of sums of these random variables. In this talk I will examine this heuristic and discuss how lattice points near the circle interact with one another. This is joint work with Igor Wigman. \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-65/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231123T141500
DTEND;TZID=Europe/Berlin:20231123T151500
DTSTAMP:20260531T220331
CREATED:20231012T085916Z
LAST-MODIFIED:20231113T130726Z
UID:6650-1700748900-1700752500@crc326gaus.de
SUMMARY:Combing a hedgehog over a field
DESCRIPTION:Alexey Ananyevskiy (LMU München) \nA classical result in differential topology says that there are no nowhere vanishing vector fields on a 2-sphere. One may ask a similar question in algebraic geometry: does the tangent bundle to a sphere given by the equation x^2+y^2+z^2=1 over some field k have a nowhere vanishing section? Or more generally\, when does the tangent bundle on an affine quadratic q=1 with q being a homogeneous degree 2 polynomial have a nowhere vanishing section? We give an essentially full answer to this question assuming that the quadric q=1 has a rational point. In particular\, the 2-sphere x^2+y^2+z^2=1 over a field k has a nowhere vanishing vector field if and only if -1 is a sum of 4 squares in k. The proof uses a mixture of results from the motivic homotopy theory\, Chow-Witt rings and some constructions from the theory of quadratic forms.\nThis is a joint work with Marc Levine. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-77/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231124T153000
DTEND;TZID=Europe/Berlin:20231124T170000
DTSTAMP:20260531T220331
CREATED:20231016T110102Z
LAST-MODIFIED:20231115T094550Z
UID:6692-1700839800-1700845200@crc326gaus.de
SUMMARY:The quadratic Euler characteristic of a smooth projective same-degree complete intersection
DESCRIPTION:Seminar on Arithmetic Geometry \nAnneloes Viergever (University of Duisburg-Essen) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-83/
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:20231128T160000
DTEND;TZID=Europe/Berlin:20231128T170000
DTSTAMP:20260531T220331
CREATED:20231009T104721Z
LAST-MODIFIED:20231123T081516Z
UID:6409-1701187200-1701190800@crc326gaus.de
SUMMARY:Restricted Arithmetic Quantum Unique Ergodicity
DESCRIPTION:International Seminar on Automorphic Forms \nThe quantum unique ergodicity conjecture of Rudnick and Sarnak concerns the mass equidistribution in the large eigenvalue limit of Laplacian eigenfunctions on negatively curved manifolds. This conjecture has been resolved by Lindenstrauss when this manifold is the modular surface assuming these eigenfunctions are additionally Hecke eigenfunctions\, namely Hecke-Maass cusp forms. I will discuss a variant of this problem in this arithmetic setting concerning the mass equidistribution of Hecke-Maass cusp forms on submanifolds of the modular surface. \nPeter Humphries (University of Virginia) \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-66/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231201T133000
DTEND;TZID=Europe/Berlin:20231201T150000
DTSTAMP:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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:20260531T220331
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
END:VCALENDAR