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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241029T160000
DTEND;TZID=Europe/Berlin:20241029T170000
DTSTAMP:20260531T191724
CREATED:20241016T114245Z
LAST-MODIFIED:20241022T114634Z
UID:9379-1730217600-1730221200@crc326gaus.de
SUMMARY:Exact formulae for ranks of partitions
DESCRIPTION:International Seminar on Automorphic Forms \nQihang Sun (University of Lille): Exact formulae for ranks of partitions \nDyson’s ranks provided a new understanding of the integer partition function\, especially of its congruence properties. In 2009\, Bringmann used the circle method to prove an asymptotic formula for the Fourier coefficients of rank generating functions. In this talk\, we will prove that the asymptotic formula\, when summing up to infinity\, converges and becomes a Rademacher-type exact formula for the rank of partitions. \n\nhttps://tu-darmstadt.zoom.us/j/68048280736 \n 
URL:https://crc326gaus.de/event/tba-116/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241029T161500
DTEND;TZID=Europe/Berlin:20241029T171500
DTSTAMP:20260531T191724
CREATED:20241025T131302Z
LAST-MODIFIED:20241025T134639Z
UID:9558-1730218500-1730222100@crc326gaus.de
SUMMARY:Moduli of twisted maps to smooth pairs
DESCRIPTION:Robert Crumplin (Heidelberg)
URL:https://crc326gaus.de/event/moduli-of-twisted-maps-to-smooth-pairs/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 5\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241031T141500
DTEND;TZID=Europe/Berlin:20241031T151500
DTSTAMP:20260531T191724
CREATED:20241002T100932Z
LAST-MODIFIED:20241022T104135Z
UID:9273-1730384100-1730387700@crc326gaus.de
SUMMARY:On the K-theory of curves over number fields.
DESCRIPTION:Rob de Jeu (Amsterdam) \nAbstract: Borel defined regulators for the odd degree higher K-groups of a number field k and proved a relation between these and the values of the zeta-function of k at 2\, 3\, 4\, …\, generalising the classical relation between its residue at s=1 and the regulator of the unit group of the ring of integers. Similar results were proved and/or conjectured by Bloch and Beilinson for the K-groups of varieties over number fields. After a review of the background\, we discuss some recent joint work with François Brunault\, Liu Hang\, and Fernando Rodriguez Villegas on K_2 of elliptic curves over certain cubic or quartic number fields\, and\, time permitting\, how one can try to describe the K_4 of curves over number fields.
URL:https://crc326gaus.de/event/tba-112/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241101T153000
DTEND;TZID=Europe/Berlin:20241101T170000
DTSTAMP:20260531T191724
CREATED:20240909T081328Z
LAST-MODIFIED:20241028T095457Z
UID:9172-1730475000-1730480400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Pol van Hoften (VU Amsterdam): Igusa stacks and the cohomology of Shimura varieties \nAssociated to a modular form f is a two-dimensional Galois representation whose Frobenius eigenvalues can be expressed in terms of the Fourier coefficients of f\, using a formula known as the Eichler–Shimura congruence relation. This relation was proved by Eichler–Shimura and Deligne by analyzing the mod p (bad) reduction of the modular curve of level ?0(p). In this talk\, I will discuss joint work with Patrick Daniels\, Dongryul Kim and Mingjia Zhang\, where we give a new proof of this congruence relation that happens “entirely on the generic fibre”. More precisely\, we prove a compatibility result between the cohomology of Shimura varieties of Hodge type and the Fargues?Scholze semisimple local Langlands correspondence\, generalizing the Eichler–Shimura relation of Blasius–Rogawski. Our proof makes crucial use of the Igusa stacks that we construct\, generalizing earlier work of Zhang in the PEL case. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-11/
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:20241105T160000
DTEND;TZID=Europe/Berlin:20241105T170000
DTSTAMP:20260531T191724
CREATED:20241016T114401Z
LAST-MODIFIED:20241101T075704Z
UID:9380-1730822400-1730826000@crc326gaus.de
SUMMARY:Counting characters on algebraic tori according to their Langlands L-functions
DESCRIPTION:International Seminar on Automorphic Forms \nIan Petrow (UCL): Counting characters on algebraic tori according to their Langlands L-functions \nGiven a connected reductive group G over a global field\, Langlands introduced the automorphic L-function L(s\, π\, r) of a cuspidal automorphic representation π of G and a complex representation r of the L-group of G. While in general very little is known about Langlands L-functions\, if G = T is a torus the properties of these L-functions can be obtained from class field theory and one can attempt to study analytic problems pertaining to them. In this talk I will describe some analytic results on automorphic characters of tori with respect to the analytic conductor of L(s\, π\, r)\, attempting to focus on the interplay of analytic and algebraic ideas that arise in the proofs. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-117/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241108T111500
DTEND;TZID=Europe/Berlin:20241108T121500
DTSTAMP:20260531T191724
CREATED:20241025T135236Z
LAST-MODIFIED:20241025T135236Z
UID:9566-1731064500-1731068100@crc326gaus.de
SUMMARY:From SL(2) to SO(2): Rank-2 Vafa-Witten invariants
DESCRIPTION:Simon Schirren (Rom)
URL:https://crc326gaus.de/event/from-sl2-to-so2-rank-2-vafa-witten-invariants/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 11\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241108T133000
DTEND;TZID=Europe/Berlin:20241108T143000
DTSTAMP:20260531T191724
CREATED:20241030T102418Z
LAST-MODIFIED:20241030T102805Z
UID:9587-1731072600-1731076200@crc326gaus.de
SUMMARY:Rigid cocycles and geodesics on Shimura curves
DESCRIPTION:Håvard Damm-Johnsen (University of Oxford /MPIM Bonn) \nDarmon and Vonk’s theory of rigid meromorphic cocycles gives a conjectural description of abelian extensions of real quadratic fields akin to the classical theory of complex multiplication. While their conjectures currently seem out of reach\, the work of Darmon-Pozzi-Vonk uses p-adic families of Hilbert modular forms to give unconditional results in this direction. I will explain how a reinterpretation in terms of the so-called Kudla programme suggests an approach to extending their results. This point of view also gives a new proof of a theorem of Rickards on intersections of geodesics on Shimura curves\, which is related to forthcoming work of Darmon-Vonk.
URL:https://crc326gaus.de/event/rigid-cocycles-and-geodesics-on-shimura-curves/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241108T153000
DTEND;TZID=Europe/Berlin:20241108T170000
DTSTAMP:20260531T191724
CREATED:20240909T081457Z
LAST-MODIFIED:20241021T103300Z
UID:9174-1731079800-1731085200@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Siyan Daniel Li-Huerta (MPIM Bonn): Close fields and the local Langlands correspondence \nThere is a heuristic that\, as ramification goes to infinity\, p-adic fields tend to function fields. For Galois representations\, this was made precise by Deligne\, and for representations of p-adic groups\, a similar result was shown by Kazhdan and Ganapathy. We present a proof that this is compatible with Fargues–Scholze’s local Langlands correspondence. The proof relies on carrying out Fargues–Scholze’s construction over the one-point compactification of the natural numbers. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-12/
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:20241112T160000
DTEND;TZID=Europe/Berlin:20241112T170000
DTSTAMP:20260531T191724
CREATED:20241016T114448Z
LAST-MODIFIED:20241105T091814Z
UID:9381-1731427200-1731430800@crc326gaus.de
SUMMARY:On an extension of the Rohrlich-Jensen formula
DESCRIPTION:International Seminar on Automorphic Forms \nLeila Smajlovic (University of Sarajevo): On an extension of the Rohrlich-Jensen formula \nWe revisit the Rohrlich-Jensen formula and prove that\, in the case of any Fuchsian group of the first kind with one cusp it can be viewed as a regularized inner product of special values of two Poincaré series\, one of which is the Niebur-Poincaré series and the other is the resolvent kernel of the Laplacian. The regularized inner product can be seen as a type of Maass-Selberg relation. In this form\, we develop a Rohrlich-Jensen formula associated to any Fuchsian group Γ of the first kind with one cusp by employing a type of Kronecker limit formula associated to the resolvent kernel. We present two examples of our main result: First\, when Γ is the full modular group; and second when Γ is an Atkin-Lehner group Γ0(N)+. This work is joint with James Cogdell and Jay Jorgenson. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-118/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241115T111500
DTEND;TZID=Europe/Berlin:20241115T121500
DTSTAMP:20260531T191724
CREATED:20241108T101412Z
LAST-MODIFIED:20241126T101943Z
UID:9752-1731669300-1731672900@crc326gaus.de
SUMMARY:Jacobi forms\, mock modular forms and qMZVs in enumerative geometry
DESCRIPTION:Jan-Willem van Ittersum (Cologne) \nAbstract: There are several instances where Gromov-Witten invariants can be expressed in terms of (quasi)Jacobi forms. In other examples in enumerative geometry\, one also encounters mock modular forms or even q-analogues of multiple zeta values. We explain the origin and properties of these series and provide examples of their occurrences as generating series of geometrical invariants.\n\nhttps://sites.google.com/view/heidelbergag/algebraic-geometry-seminar
URL:https://crc326gaus.de/event/jacobi-forms-mock-modular-forms-and-qmzvs-in-enumerative-geometry/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 11\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241115T133000
DTEND;TZID=Europe/Berlin:20241115T150000
DTSTAMP:20260531T191724
CREATED:20241106T133148Z
LAST-MODIFIED:20241126T102031Z
UID:9724-1731677400-1731682800@crc326gaus.de
SUMMARY:Antisymmetry in the theory of rigid meromorphic cocycles
DESCRIPTION:Sören Sprehe (Universität Bielefeld) \nAround six years ago Darmon and Vonk initiated the theory of p-adic singular moduli for real quadratic fields by defining “rigid meromorphic cocycles”. These are elements of the first cohomology group of Ihara’s group SL2(Z[1/p]) with values in the group of rigid meromorphic functions on Drinfeld’s upper half-plane. Using rigid meromorphic cocycles\, Darmon and Vonk assign to each pair of real quadratic irrationalities a p-adic number. The two irrationalities play a vastly different role in the construction of this assignment. However\, it is expected to behave like the difference of two classical singular moduli – in particular\, it should be anti-symmetric in the argument. We will use the recent work of Darmon\, Gehrmann and Lipnowski on rigid meromorphic cocycles for higher dimensional orthogonal groups to give a new\, symmetric construction of this function.
URL:https://crc326gaus.de/event/antisymmetry-in-the-theory-of-rigid-meromorphic-cocycles/
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:20241115T153000
DTEND;TZID=Europe/Berlin:20241115T170000
DTSTAMP:20260531T191724
CREATED:20241016T112344Z
LAST-MODIFIED:20241104T123602Z
UID:9353-1731684600-1731690000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Ludwig Modin (Leibniz Universität Hannover): Moduli spaces for Theta-strata and non-reductive quotients \nThe U-hat theorem of Bérczi\, Doran\, Hawes and Kirwan gives conditions for when a linear action of a complex graded unipotent group admits a geometric quotient\, it is one of the key results non-reductive geometric invariant theory is built on.\nWe give a stacky re-interpretation of this theorem in terms of Theta-strata\, as introduced by Halpern-Leistner\, of algebraic stacks. As a corollary we generalize the U-hat theorem to not necessarily linear actions of graded unipotent groups over a Noetherian base scheme. \nZoom (635 7328 0984)\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-13/
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:20241119T160000
DTEND;TZID=Europe/Berlin:20241119T170000
DTSTAMP:20260531T191724
CREATED:20241016T114537Z
LAST-MODIFIED:20241108T080337Z
UID:9382-1732032000-1732035600@crc326gaus.de
SUMMARY:Cones of Noether-Lefschetz divisors and moduli of hyperkähler manifolds
DESCRIPTION:International Seminar on Automorphic Forms \nLaure Flapan (Michigan State University): Cones of Noether-Lefschetz divisors and moduli of hyperkähler manifolds \nWe describe how to compute cones of Noether-Lefshetz divisors on orthogonal modular varieties with a particular view towards moduli spaces of polarized K3 surfaces and hyperkähler manifolds. We then describe some geometric applications of these cone computations for these moduli spaces. This is joint work with I. Barros\, P. Beri\, and B. Williams. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-119/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241122T103000
DTEND;TZID=Europe/Berlin:20241122T113000
DTSTAMP:20260531T191724
CREATED:20241111T132603Z
LAST-MODIFIED:20241126T102342Z
UID:9817-1732271400-1732275000@crc326gaus.de
SUMMARY:Differential operators on automorphic forms\, special functions\, and arithmetic applications
DESCRIPTION:Tomoyoshi Ibukiyama\, Professor Emeritus Department of Mathematics Graduate School of Science\, Osaka University \nA theory of differential operators on automorphic forms\nwhich preserve automorphy after restrictions of\nthe domains have a long history and turned out\nto include a nice theory of special functions.\nWe will give rough outline on results\nsince 1990 (partly a joint work with D. Zagier) and\nexplain several arithmetic applications.
URL:https://crc326gaus.de/event/differential-operators-on-automorphic-forms-special-functions-and-arithmetic-applications/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 11\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241122T133000
DTEND;TZID=Europe/Berlin:20241122T143000
DTSTAMP:20260531T191724
CREATED:20241113T101011Z
LAST-MODIFIED:20241126T102149Z
UID:9829-1732282200-1732285800@crc326gaus.de
SUMMARY:Heights of modular polynomials
DESCRIPTION:Prof. Dr. Florian Breuer (University of Newcastle) \nFor every positive integer $N$\, the modular polynomial $\Phi_N(X\,Y)$ has integer coefficients and vanishes precisely at pairs of $j$-invariants of elliptic curves linked by a cyclic isogeny of order $N$. These polynomials have applications in cryptography and define integral (but singular) models for the modular curves $X_0(N)$. Their coefficients grow rapidly with $N$. In this talk\, I will explain recent joint work with Fabien Pazuki and Desir\’ee Gij\’on G\’omez obtaining explicit upper and lower bounds on the size of these coefficients. Our methods also lead to explicit bounds on the heights of Hecke images. If time allows\, I can also outline analogous results for Drinfeld modular polynomials.
URL:https://crc326gaus.de/event/heights-of-modular-polynomials/
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:20241122T141500
DTEND;TZID=Europe/Berlin:20241122T151500
DTSTAMP:20260531T191724
CREATED:20241115T214100Z
LAST-MODIFIED:20241126T102247Z
UID:9870-1732284900-1732288500@crc326gaus.de
SUMMARY:Tropical refined curve counting and mirror symmetry
DESCRIPTION:Qaasim Shafi (Heidelberg) \nAn old theorem\, due to Mikhalkin\, says that the number of\nrational plane curves of degree d through 3d-1 points is equal to a\ncount of tropical curves (combinatorial objects which are more amenable\nto computations). There are two natural directions for generalising this\nresult: extending to higher genus curves and allowing for more general\nconditions than passing through points. I’ll discuss a generalisation\nwhich does both\, as well as recent work connecting it to mirror symmetry\nfor log Calabi-Yau surfaces. This is joint work with Patrick\nKennedy-Hunt and Ajith Urundolil Kumaran. \nhttps://sites.google.com/view/heidelbergag/algebraic-geometry-seminar
URL:https://crc326gaus.de/event/tropical-refined-curve-counting-and-mirror-symmetry/
LOCATION:Heidelberg
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241122T153000
DTEND;TZID=Europe/Berlin:20241122T170000
DTSTAMP:20260531T191724
CREATED:20241016T112540Z
LAST-MODIFIED:20241114T073128Z
UID:9355-1732289400-1732294800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Andrés Jaramillo Puentes (Universität Tübngen): A Wall-Crossing Formula for Motivic Gromov-Witten Invariants \nIn enumerative geometry\, Gromov-Witten invariants play a central role in counting curves on algebraic varieties\, and their variations under different conditions provide a rich framework for understanding moduli spaces. In recent years\, there has been significant progress in developing enriched versions of these invariants within the framework of motivic homotopy theory\, leading to what we now call motivic Gromov-Witten invariants. Motivic invariants encode additional algebraic structure over the Grothendieck-Witt ring of a base field\, allowing for finer distinctions in curve counts\, particularly over fields with nontrivial real structure. \nIn this talk\, we discuss a wall-crossing formula for motivic Gromov-Witten invariants. Specifically\, we explore how variations in point conditions and configurations influence the values of these invariants\, and demonstrate how these changes can be systematically tracked using a motivic analogue of classical wall-crossing phenomena. We will illustrate how this formula provides a mechanism to relate invariants associated with distinct configurations by tracking contributions along certain “walls” in the parameter space\, which play an analogous role to wall-crossing in real enumerative geometry. \nAdditionally\, we will present applications of this formula to specific enumerative problems\, showcasing how the motivic perspective not only recovers known real and complex cases but also opens new pathways for counting problems over arbitrary fields. This development lays the groundwork for future research\, providing a powerful tool to bridge combinatorial and motivic techniques in tropical and algebraic geometry. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-14/
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:20241126T160000
DTEND;TZID=Europe/Berlin:20241126T170000
DTSTAMP:20260531T191724
CREATED:20241016T114654Z
LAST-MODIFIED:20241120T071853Z
UID:9388-1732636800-1732640400@crc326gaus.de
SUMMARY:Knots\, q-series\, and modular forms
DESCRIPTION:International Seminar on Automorphic Forms \nMatthias Storzer (University College Dublin): Knots\, q-series\, and modular forms \nTo study knots\, we use knot invariants like the colored Jones polynomials (CJP). For alternating knots\, it is known that the CJP converge to a well-defined q-series\, the tail of the CJP. For several but not all knots with up to 10 crossings\, the tail of the CJP can be written as a product of (partial) theta functions and thus has modular properties. In this talk\, we present a general formula for a class of knots.Moreover\, we argue that the tail of the CJP for some knots does not have any modular properties. We also briefly discuss potential topological interpretations of the (non-)modularity.This is joint work with Robert Osburn. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-120/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241127T160000
DTEND;TZID=Europe/Berlin:20241127T170000
DTSTAMP:20260531T191724
CREATED:20241025T145444Z
LAST-MODIFIED:20241025T150057Z
UID:9569-1732723200-1732726800@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:Jiaming Chen (Universität Frankfurt): Convex Fujita numbers \nAbstract: I will discuss joint work with Alex Küronya\, Yusuf Mustopa\, and Jakob Stix on the effective global generation of adjoint line bundles on smooth projective varieties. To measure effectiveness\, we introduce the concept of the convex Fujita number of a smooth projective variety. I will present several examples and explore its relation to fundamental groups.
URL:https://crc326gaus.de/event/oberseminaralgebrageometrie-convex-fujita-numbers/
LOCATION:Frankfurt\, RM-Str. 6-8\, R. 308
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241128T153000
DTEND;TZID=Europe/Berlin:20241128T183000
DTSTAMP:20260531T191724
CREATED:20240813T094606Z
LAST-MODIFIED:20241016T115553Z
UID:9041-1732807800-1732818600@crc326gaus.de
SUMMARY:CRC-Colloquium
DESCRIPTION:15:20 Coffee (or earlier)\n15:30 – 16:30 Timo Richarz (TU Darmstadt): Reduction of Shimura Varieties\n16:30 Coffee and Cake\n17:15 – 18:15 Jens Eberhardt (Universität Mainz): K-motives and Local Langlands\n18:45 Dinner \nAbstract – Timo Richarz: Reduction of Shimura Varieties\nThe general theory of Shimura varieties\, first developed by Deligne in the 1970s\, extends classical objects such as modular curves\, moduli of polarized abelian varieties and Hilbert-Blumenthal varieties. The varieties play a crucial role in the search for higher reciprocity laws within the Langlands program. The arithmetic properties of Shimura varieties\, in particular their reduction to positive characteristic\, have enabled remarkable advances in arithmetic geometry in recent decades. In this talk\, I will give an overview of recent results concerning the geometry of Shimura varieties in their reduction to positive characteristic. \nAbstract – Jens Eberhardt: K-motives and Local Langlands\nIn this talk\, we construct a geometric realisation of the category of representations of the affine Hecke algebra. For this\, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks. The affine Hecke algebra arises from the K-theory of the Steinberg stack\, and we explain how to “categorify” this using K-motives. Lastly\, we discuss applications of K-motives to the local geometric Langlands program.
URL:https://crc326gaus.de/event/crc-colloquium-copy01/
LOCATION:Heidelberg\, MATHEMATIKON\, Konferenzraum\, 5. OG\, Campus Im Neuenheimer Feld (INF)\, INF 205\, Heidelberg\, 69120\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241129T103000
DTEND;TZID=Europe/Berlin:20241129T113000
DTSTAMP:20260531T191724
CREATED:20241111T143705Z
LAST-MODIFIED:20241122T141045Z
UID:9821-1732876200-1732879800@crc326gaus.de
SUMMARY:Quantum periods\, toric degenerations and intrinsic mirror symmetry
DESCRIPTION:Samuel M Johnston\, Heilbronn Research Fellow at Imperial College London
URL:https://crc326gaus.de/event/tba-126/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 11\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241129T133000
DTEND;TZID=Europe/Berlin:20241129T143000
DTSTAMP:20260531T191724
CREATED:20241119T102406Z
LAST-MODIFIED:20241125T105040Z
UID:9903-1732887000-1732890600@crc326gaus.de
SUMMARY:The degree of algebraic cycles on hypersurfaces
DESCRIPTION:Matthias Paulsen (Universität Marburg) \nAbstract: Let X be a very general hypersurface of dimension 3 and degree d at least 6. Griffiths and Harris conjectured in 1985 that the degree of every curve on X is divisible by d. Substantial progress on this conjecture was made by Kollár in 1991 via degeneration arguments. However\, the conjecture of Griffiths and Harris remained open in any degree d. In this talk\, I will explain how to prove this conjecture (and its higher-dimensional analogues) for infinitely many degrees d.
URL:https://crc326gaus.de/event/the-degree-of-algebraic-cycles-on-hypersurfaces/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241129T153000
DTEND;TZID=Europe/Berlin:20241129T170000
DTSTAMP:20260531T191724
CREATED:20241016T112643Z
LAST-MODIFIED:20241119T072742Z
UID:9356-1732894200-1732899600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Felipe Espreafico (IMJ-PRG): Gauss-Main Connection in Disguise: A «quasi-modularity» for Gromov-Witten invariants for the Quintic Threefold \nGromov-Witten invariants and modularity are topics that often come together. In this talk\, we will explore a type of quasi-modularity for the genus zero invariants for the quintic threefold. We start by explaining how classical Eisenstein series are related to periods of the Weistrass family of Elliptic Curves. A similar relation may be observed by looking at periods of the mirror quintic family: that generating functions for the genus zero invariants can be written in terms of solutions to certain differential systems coming from the Gauss-Manin connection that generalize the classical Ramanujan equations that give rise to Eisenstein series. This is part of larger program called Gauss-Manin connection in Disguise\, that can be also applied in other contexts. We finish by briefly discussing other applications and further questions. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-15/
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:20241203T160000
DTEND;TZID=Europe/Berlin:20241203T170000
DTSTAMP:20260531T191724
CREATED:20241016T114757Z
LAST-MODIFIED:20241127T145427Z
UID:9394-1733241600-1733245200@crc326gaus.de
SUMMARY:Topographs and some infinite series
DESCRIPTION:International Seminar on Automorphic Forms \nCormac O’Sullivan (CUNY)): Topographs and some infinite series\nThe Fibonacci numbers are a familiar recursive sequence. Topographs are a kind of two dimensional version conjured up by J.H. Conway in his study of integral binary quadratic forms. These forms are ax^2 + bxy + cy^2 with integer coefficients\, and have a long history in number theory. We’ll review Conway’s classification of topographs into 4 types and look at some new discoveries. Applications are to new class number formulas and a simplification of a proof of Gauss related to sums of three squares. We’ll also see how several infinite series over all the numbers in a topograph may be evaluated explicitly. This generalizes and extends results of Hurwitz and more recent authors and requires a certain Poincare series.  \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits) \n 
URL:https://crc326gaus.de/event/tba-121/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241205T141500
DTEND;TZID=Europe/Berlin:20241205T151500
DTSTAMP:20260531T191724
CREATED:20241002T101031Z
LAST-MODIFIED:20241126T120757Z
UID:9275-1733408100-1733411700@crc326gaus.de
SUMMARY:On the transcendental part of K3 surfaces associated with 3D Fano polytopes
DESCRIPTION:
URL:https://crc326gaus.de/event/tba-113/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T110000
DTEND;TZID=Europe/Berlin:20241206T120000
DTSTAMP:20260531T191724
CREATED:20241202T083638Z
LAST-MODIFIED:20241202T084811Z
UID:10043-1733482800-1733486400@crc326gaus.de
SUMMARY:Tropical refined curve counting and mirror symmetry
DESCRIPTION:Dr. Qaasim Shafi\, postdoctoral research associate at Heidelberg University
URL:https://crc326gaus.de/event/tropical-refined-curve-counting-and-mirror-symmetry-2/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 10\, INF 205\, Heidelberg\, 69124\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T133000
DTEND;TZID=Europe/Berlin:20241206T143000
DTSTAMP:20260531T191724
CREATED:20241113T103034Z
LAST-MODIFIED:20241126T102503Z
UID:9832-1733491800-1733495400@crc326gaus.de
SUMMARY:Chow-Heegner Points and Artin Formalism for triple product p-adic L-functions
DESCRIPTION:Kazim Büyükboduk (University College Dublin) \nI will discuss the factorization of a certain triple product p-adic L-function whose interpolation range is empty. The said factorization reflects the Artin formalism for the underlying family of motives (that decompose as the sum of 2 motives of respective degrees 2 and 6). I will explain how this factorization problem can be recast as the comparison of two families of arithmetic GGP conjectures (and can be proved in some cases using this reduction).
URL:https://crc326gaus.de/event/chow-heegner-points-and-artin-formalism-for-triple-product-p-adic-l-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241206T153000
DTEND;TZID=Europe/Berlin:20241206T170000
DTSTAMP:20260531T191724
CREATED:20241016T112752Z
LAST-MODIFIED:20241118T122001Z
UID:9357-1733499000-1733504400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Christopher Lang (TU Darmstadt): Ekedahl-Oort Stratification of Deligne-Lusztig Varieties \nWhen developing a stratificaion of Rapoport-Zink spaces\, Vollaard and\nWedhorn constructed a decomposition of a certain Deligne-Lusztig variety\nfor a unitary group using smaller Deligne-Lusztig varieties. We will show\nthat this decomposition can be obtained by pullback of the Ekedahl-Oort\nstratification of G-Zips. With this method one gets an Ekedahl-Oort\nstratification of flag varieties for reductive groups\, which refines the\nusual stratification by Deligne-Lusztig varieties. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-16/
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:20241212T141500
DTEND;TZID=Europe/Berlin:20241212T151500
DTSTAMP:20260531T191724
CREATED:20241126T121001Z
LAST-MODIFIED:20241204T104303Z
UID:10010-1734012900-1734016500@crc326gaus.de
SUMMARY:The heart fan of an abelian category
DESCRIPTION:David Ploog (Stavanger) \nAbstract: To an abelian category such as coherent sheaves on a projective variety or modules over a finite-dimensional algebra\, I associate a fan of convex cones. This fan reflects homological properties of the category. It contains the g-fan of representation theory and is related to the stability conditions.
URL:https://crc326gaus.de/event/tba-133/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241213T110000
DTEND;TZID=Europe/Berlin:20241213T120000
DTSTAMP:20260531T191724
CREATED:20241111T144113Z
LAST-MODIFIED:20241206T101054Z
UID:9824-1734087600-1734091200@crc326gaus.de
SUMMARY:Wall crossing for equivariant CY3 categories
DESCRIPTION:Nikolas Kuhn (University of Oxford) \nThe Joyce-Song wall-crossing formulas for Donaldson-Thomas invariants of Calabi-Yau threefolds have proven to be a crucial and versatile tool. In the presence of a torus action\, there are interesting threefold geometries in which the Calabi-Yau condition only holds up to an equivariant twist – examples include Vafa-Witten invariants\, local curves and surfaces and the threefold vertex. In these cases\, invariants are defined using localization\, and Joyce-Song’s theory doesn’t apply. I will explain how ideas from Joyce’s recent work on wall-crossing in abelian categories can be used to prove wall-crossing in this situation\, and which difficulties arise.  This is joint work with Henry Liu and Felix Thimm.
URL:https://crc326gaus.de/event/tba-127/
LOCATION:Heidelberg\, MATHEMATIKON\, SR10\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
END:VCALENDAR