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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220512T140000
DTEND;TZID=Europe/Berlin:20220512T160000
DTSTAMP:20260601T095118
CREATED:20220504T071357Z
LAST-MODIFIED:20220623T073407Z
UID:2885-1652364000-1652371200@crc326gaus.de
SUMMARY:Derived $F$-zips
DESCRIPTION:
URL:https://crc326gaus.de/event/derived-f-zips/
LOCATION:Mainz\, Hilbertraum (05-432) and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220513T140000
DTEND;TZID=Europe/Berlin:20220513T153000
DTSTAMP:20260601T095118
CREATED:20220426T082339Z
LAST-MODIFIED:20220426T082339Z
UID:2812-1652450400-1652455800@crc326gaus.de
SUMMARY:Integral models of local Shimura varieties
DESCRIPTION:Abstract: Let $p$ be a prime number. Let $(G\, b\, \mu)$ be a local Shimura datum and $\CG$ be a quasi-parahoric group scheme for $G$ (these terms will be explained in the talk). Scholze has defined a functor on the category of perfectoid spaces in characteristic $p$ and has conjectured that this functor is representable by a formal scheme. I will explain the proof of this conjecture for classical groups. The conjecture also gives a group-theoretical interpretation of Rapoport-Zink spaces. This is joint work with G. Pappas. \nMeeting-ID: 635 7328 0984\nPassword: Smallest six digit prime number
URL:https://crc326gaus.de/event/integral-models-of-local-shimura-varieties/
LOCATION:Darmstadt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220513T150000
DTEND;TZID=Europe/Berlin:20220513T160000
DTSTAMP:20260601T095118
CREATED:20220502T122135Z
LAST-MODIFIED:20220601T070429Z
UID:2869-1652454000-1652457600@crc326gaus.de
SUMMARY:Toroidal b-divisors and Monge-Ampère measures
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (First meeting Summer Semester 2022) \nAna María Botero (Regensburg University) \nAbstract:\nA b-divisor on a smooth projective algebraic variety X is an element in the projective limit of divisors\, indexed over all smooth proper modifications of X\, and satisfying some functoriality properties. Amongst all b-divisors\, the so-called “toroidal” ones can be studied using convex-geometrical and tropical techniques. The aim of the talk is to give an overview of the theory. This joint work with Jose Burgos and Martin Sombra.
URL:https://crc326gaus.de/event/patchworks-of-real-algebraic-varieties-in-higher-codimension/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220513T163000
DTEND;TZID=Europe/Berlin:20220513T173000
DTSTAMP:20260601T095118
CREATED:20220502T122524Z
LAST-MODIFIED:20220601T070348Z
UID:2871-1652459400-1652463000@crc326gaus.de
SUMMARY:Chern-Weil theory and Hilbert-Samuel theorem for semi-positive singular toroidal metrics on line bundles
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (First meeting Summer Semester 2022) \nJosé Ignacio Burgos Gil (ICMAT\, Madrid) \nAbstract:\nIn this talk I will report on joint work with A. Botero\, D. Holmes and R. de Jong. Using the theory of b-divisors and non-pluripolar products we show that Chen-Weil theory and a Hilbert Samuel theorem can be extended to a wide class of singular semi-positive metrics. We apply the techniques relating semipositive metrics on line bundles to b-divisors to study the line bundle of Siegel-Jacobi forms with the Peterson metric. On the one hand we prove that the ring of Siegel-Jacobi forms of constant positive relative index is never finitely generated\, and we recover a formula of Tai giving the asymptotic growth of the dimension of the spaces of Siegel-Jacobi modular forms.
URL:https://crc326gaus.de/event/chern-weil-theory-and-hilbert-samuel-theorem-for-semi-positive-singular-toroidal-metrics-on-line-bundles/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220518T160000
DTEND;TZID=Europe/Berlin:20220518T170000
DTSTAMP:20260601T095118
CREATED:20220222T100402Z
LAST-MODIFIED:20220509T080629Z
UID:2324-1652889600-1652893200@crc326gaus.de
SUMMARY:δ-Forms and Intersection Numbers
DESCRIPTION:Oberseminar Algebra und Geometrie \nAndreas Mihatsch (Universität Bonn) \n\nAbstract:\nδ-Forms were invented by Gubler–Künnemann\, they are certain\nhybrid objects on non-archimedean spaces that combine the smooth\ndifferential forms of Chambert-Loir–Ducros with tropical intersection\ntheory. In this talk\, I will first present a purely local definition of\nδ-forms that is based on the combinatorics of skeletons in Berkovich\nspaces. I will then explain an application to intersection numbers on\nintegral models: The lengths of artinian complete intersections on the\nmodel agree with certain integrals of δ-forms in the generic fiber.
URL:https://crc326gaus.de/event/tba-3/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220520T133000
DTEND;TZID=Europe/Berlin:20220520T150000
DTSTAMP:20260601T095118
CREATED:20220513T155410Z
LAST-MODIFIED:20220513T155410Z
UID:3004-1653053400-1653058800@crc326gaus.de
SUMMARY:Chern-Weil theory and Hilbert-Samuel theorem for toroidal semi-positive singular metrics on line bundles
DESCRIPTION:Dr. Ana María Botero
URL:https://crc326gaus.de/event/chern-weil-theory-and-hilbert-samuel-theorem-for-toroidal-semi-positive-singular-metrics-on-line-bundles/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220520T140000
DTEND;TZID=Europe/Berlin:20220520T173000
DTSTAMP:20260601T095118
CREATED:20220411T114643Z
LAST-MODIFIED:20220629T130129Z
UID:2596-1653055200-1653067800@crc326gaus.de
SUMMARY:The geometry of coherent sheaves: From derived categories to Higgs bundles
DESCRIPTION:GAUS-Workshop: “Branes in Higgs bundle moduli spaces” \n14:00-15:00: Emilio Franco (Madrid)\nBranes in the hyperKähler framework\n15:15-16:15: Ana Peon-Nieto (Birmingham)\nSome branes over the singular locus of the Hitchin base\n16:30-17:30: Sebastian Heller (Hannover)\nBranes through finite group actions
URL:https://crc326gaus.de/event/the-geometry-of-coherent-sheaves-from-derived-categories-to-higgs-bundles-2/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220601T160000
DTEND;TZID=Europe/Berlin:20220601T170000
DTSTAMP:20260601T095118
CREATED:20220411T073933Z
LAST-MODIFIED:20220530T130617Z
UID:2542-1654099200-1654102800@crc326gaus.de
SUMMARY:Invariant rings of reductive representations and singularities of the Minimal Model Program
DESCRIPTION:Oberseminar Algebra und Geometrie \nDaniel Greb (Univ. Duisburg-Essen) \nAbstract:\nI will discuss my recent work with Braun\, Langlois\, and Moraga showing that invariant rings of finite-dimensional representations of (linearly) reductive groups over an algebraically closed field of characteristic zero have Kawamata log-terminal (klt) singularities. I will spend most of the time on explaining what klt singularities are\, why the klt condition is a very natural and geometric condition\, and why smaller classes of singularities are not sufficient in order to understand arbitrary reductive quotient singularities. Then\, I will discuss some applications of the main result\, e.g. to varieties important in geometric representation theory and to certain moduli spaces. If time permits\, I will discuss some ideas of the proof.
URL:https://crc326gaus.de/event/daniel-greb/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220603T133000
DTEND;TZID=Europe/Berlin:20220603T150000
DTSTAMP:20260601T095118
CREATED:20220524T131617Z
LAST-MODIFIED:20220524T131617Z
UID:3069-1654263000-1654268400@crc326gaus.de
SUMMARY:On the cohomology of the Drinfeld tower
DESCRIPTION:Dr. Gabriel Dospinescu\, Ecole Normale Supérieure de Lyon
URL:https://crc326gaus.de/event/on-the-cohomology-of-the-drinfeld-tower/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Rustam Steingart":MAILTO:rsteingart@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220609T140000
DTEND;TZID=Europe/Berlin:20220609T160000
DTSTAMP:20260601T095118
CREATED:20220518T112552Z
LAST-MODIFIED:20220620T073936Z
UID:3060-1654783200-1654790400@crc326gaus.de
SUMMARY:The wild ramification locus
DESCRIPTION:
URL:https://crc326gaus.de/event/t-b-a/
LOCATION:Mainz\, Hilbertraum (05-432) and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220610T133000
DTEND;TZID=Europe/Berlin:20220610T150000
DTSTAMP:20260601T095118
CREATED:20220603T120910Z
LAST-MODIFIED:20220603T120910Z
UID:3097-1654867800-1654873200@crc326gaus.de
SUMMARY:Main conjectures and p-adic Stark conjectures for Artin motives
DESCRIPTION:Dr. Alexandre Maksoud\, Université du Luxembourg
URL:https://crc326gaus.de/event/main-conjectures-and-p-adic-stark-conjectures-for-artin-motives/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220610T150000
DTEND;TZID=Europe/Berlin:20220610T160000
DTSTAMP:20260601T095118
CREATED:20220530T073537Z
LAST-MODIFIED:20220601T070145Z
UID:3072-1654873200-1654876800@crc326gaus.de
SUMMARY:Brill-Noether Theory over the Hurwitz Space
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (Second meeting Summer Semester 2022) \nDave Jensen (University of Kentucky) \nAbstract:\nBrill-Noether theory is the study of line bundles on algebraic curves. A series of results in the 80’s describe the varieties parameterizing line bundles with given invariants on a sufficiently general curve. More recently\, several mathematicians have turned their attention to the Brill-Noether theory of general covers — that is\, curves that are general in the Hurwitz space rather than in the moduli space of curves. We will survey these recent results and\, time permitting\, some generalizations.
URL:https://crc326gaus.de/event/brill-noether-theory-over-the-hurwitz-space/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220610T161500
DTEND;TZID=Europe/Berlin:20220610T171500
DTSTAMP:20260601T095118
CREATED:20220530T073812Z
LAST-MODIFIED:20220601T070242Z
UID:3074-1654877700-1654881300@crc326gaus.de
SUMMARY:The combinatorics of the Brill-Noether Theory of general covers
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (Second meeting Summer Semester 2022) \nKaelin Cook-Powell (Emory University) \nAbstract:\nThe study of line bundles on algebraic curves has historically had deep connections with combinatorics. For example\, standard young tableaux have been used to study line bundles of sufficiently general curves. Recently a variation of tableaux\, known as k-uniform displacement tableaux\, have been used to study line bundles of general covers — that is curves general in the Hurwitz space. We will discuss how these displacement tableaux relate to line bundles of general covers and examine how they are used to produce new results in Brill-Noether Theory.
URL:https://crc326gaus.de/event/the-combinatorics-of-the-brill-noether-theory-of-general-covers/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220615T160000
DTEND;TZID=Europe/Berlin:20220615T170000
DTSTAMP:20260601T095118
CREATED:20220414T080523Z
LAST-MODIFIED:20220623T090714Z
UID:2700-1655308800-1655312400@crc326gaus.de
SUMMARY:Gorenstein 3-Fanos von Picardzahl 1 mit einer 2-Torus Wirkung;  Gorenstein Fano 3-folds of Picard number 1 with a 2-torus action
DESCRIPTION:Oberseminar Algebra und Geometrie \nAndreas Bäuerle (Univ. Tübingen) \nAbstract: Wir klassifizieren die dreidimensionalen\, nichttorischen\, Q-faktoriellen\, log terminalen\, Gorenstein Fano Varietäten von Picardzahl eins\, die eine effektive Wirkung eines zweidimensionalen Torus besitzen. \nWe classify the non-toric\, Q-factorial\, log terminal\, Gorenstein Fano threefolds of Picard number one that admit an effective action of a two-dimensional torus. \n  \n  \n  \n  \n 
URL:https://crc326gaus.de/event/tba-4/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220624T133000
DTEND;TZID=Europe/Berlin:20220624T150000
DTSTAMP:20260601T095118
CREATED:20220617T113551Z
LAST-MODIFIED:20220617T113642Z
UID:3145-1656077400-1656082800@crc326gaus.de
SUMMARY:On geometric linear and quadratic Chabauty
DESCRIPTION:Pim Spelier (Universiteit Leiden)
URL:https://crc326gaus.de/event/on-geometric-linear-and-quadratic-chabauty/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Marius Leonhardt":MAILTO:mleonhardt@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220629T160000
DTEND;TZID=Europe/Berlin:20220629T170000
DTSTAMP:20260601T095118
CREATED:20220509T111933Z
LAST-MODIFIED:20220613T085145Z
UID:2943-1656518400-1656522000@crc326gaus.de
SUMMARY:What is a building and why should one care?
DESCRIPTION:Oberseminar Algebra und Geometrie \nPetra Schwer (Otto-von-Guericke-Universität Magdeburg) \nAbstract:\nGroups like GL_n\, SL_n or SP_n  play an important role in many areas of mathematics. It has been known for a long time that some of their properties (when studied over the reals or complex numbers) are best understood via the associated symmetric spaces. Jaques Tits later introduced buildings as a tool to study the respective groups over other field and developed\, together with Bruhat\, a theory that also captures reductive groups evaluated over non-archimedian local fields with discrete valuations\, like the p-adic numbers. \nIn this talk I will explain how some of the subgroup structures of such a reductive group over a non-Archimedian local field can be explained via Coxeter combinatorics and the geometry of an (affine) Bruhat-Tits building\, its apartments and retractions. The building for example simultaneously encodes the (affine) flag variety and (affine) Grassmannian associated to the group. But it also permits to explain more complicated structures such as representation theoretic data or other associated varieties in purely combinatorial terms.
URL:https://crc326gaus.de/event/tba-6/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220701T133000
DTEND;TZID=Europe/Berlin:20220701T150000
DTSTAMP:20260601T095118
CREATED:20220624T153750Z
LAST-MODIFIED:20220624T153750Z
UID:3206-1656682200-1656687600@crc326gaus.de
SUMMARY:A descent principle for compact support cohomology theories
DESCRIPTION:Josefien Kuijper (Stockholms universitet)
URL:https://crc326gaus.de/event/a-descent-principle-for-compact-support-cohomology-theories/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Christian Dahlhausen":MAILTO:cdahlhausen@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220701T140000
DTEND;TZID=Europe/Berlin:20220701T153000
DTSTAMP:20260601T095118
CREATED:20220628T081233Z
LAST-MODIFIED:20220628T081233Z
UID:3210-1656684000-1656689400@crc326gaus.de
SUMMARY:Hecke orbits on Shimura varieties of Hodge type
DESCRIPTION:Oort conjectured in 1995 that isogeny classes in the moduli space A_g of principally polarised abelian varieties in characteristic p are Zariski dense in the Newton strata containing them. There is a straightforward generalisation of this conjecture to the special fibres of Shimura varieties of Hodge type\, and in this talk\, I will present a proof of this conjecture.  I will mostly focus on the case of A_g since most of the new ideas can already be explained in this special case. This is joint work with Marco D'Addezio.\nMeeting-ID: 635 7328 0984\nPassword: 100003
URL:https://crc326gaus.de/event/hecke-orbits-on-shimura-varieties-of-hodge-type/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220701T140000
DTEND;TZID=Europe/Berlin:20220701T173000
DTSTAMP:20260601T095118
CREATED:20220411T114804Z
LAST-MODIFIED:20220629T130220Z
UID:2599-1656684000-1656696600@crc326gaus.de
SUMMARY:The geometry of coherent sheaves: From derived categories to Higgs bundles
DESCRIPTION:GAUS-Workshop: “P=W conjecture”\n14:00-15:00: Jochen Heinloth (Duisburg-Essen)\n Introduction to the P=W conjecture\n15:15-16:15: Junliang Shen (Yale)\nSymmetries of cohomology of Hitchin moduli spaces and the P=W conjecture\n16:30-17:30: Naoki Koseki (Edinburgh)\nCohomological chi-independence for Higgs bundles and Donaldson-Thomas invariants
URL:https://crc326gaus.de/event/the-geometry-of-coherent-sheaves-from-derived-categories-to-higgs-bundles-3/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220707T140000
DTEND;TZID=Europe/Berlin:20220707T160000
DTSTAMP:20260601T095118
CREATED:20220620T073648Z
LAST-MODIFIED:20220627T064151Z
UID:3151-1657202400-1657209600@crc326gaus.de
SUMMARY:A non-hyperpergeometric E-function
DESCRIPTION:
URL:https://crc326gaus.de/event/t-b-a-2/
LOCATION:Mainz\, Hilbertraum (05-432) and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220708T140000
DTEND;TZID=Europe/Berlin:20220708T150000
DTSTAMP:20260601T095118
CREATED:20220614T114944Z
LAST-MODIFIED:20220614T114944Z
UID:3135-1657288800-1657292400@crc326gaus.de
SUMMARY:Tropical homology over discretely valued fields
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (Third meeting Summer Semester 2022)\nMatilde Manzaroli (Universität Tübingen) \nAbstract:  The talk is about a work in progress with Emiliano Ambrosi.\nIlia Itenberg\, Ludmil Katzarkov\, Grigory Mikhalkin and Ilia Zharkov proved in “Tropical homology” that for a smooth proper family of complex varieties over the punctured disk with smooth tropicalisation X the Hodge numbers of the general fiber coincide with the dimensions of the tropical homology groups of X. We explore the possibility of extending this result over more general discrete valued fields of arithmetic interest\, such as R((t)) or Qp\, the field of p-adique numbers. In the process of doing this\, we get an action of the Galois group on the tropical homology groups and we compare this action\, in certain cases\, with the action defined by Tyler Foster in “Galois actions on analytifications and tropicalisation”.
URL:https://crc326gaus.de/event/tropical-homology-over-discretely-valued-fields/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220708T140000
DTEND;TZID=Europe/Berlin:20220708T153000
DTSTAMP:20260601T095118
CREATED:20220705T083542Z
LAST-MODIFIED:20220708T081313Z
UID:3305-1657288800-1657294200@crc326gaus.de
SUMMARY:Motivic Grothendieck Lefschetz Formula
DESCRIPTION:Denis-Charles Cisinski (Universität Regensburg)
URL:https://crc326gaus.de/event/motivic-grothendieck-lefschetz-formula/
LOCATION:Online via Zoom (Darmstadt)\, Meeting-ID: 635 7328 0984\, Password: 100003
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220708T153000
DTEND;TZID=Europe/Berlin:20220708T163000
DTSTAMP:20260601T095118
CREATED:20220614T115501Z
LAST-MODIFIED:20220623T074639Z
UID:3137-1657294200-1657297800@crc326gaus.de
SUMMARY:Initial degenerations of flag varieties
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (Third meeting Summer Semester 2022)\nDaniel Corey (Technische Universität Berlin) \nAbstract: We prove that the initial degenerations of the type-A flag variety admit closed immersions into finite inverse limits of flag matroid strata\, where the diagrams are derived from matroidal subdivisions of a suitable flag matroid polytope. As an application\, we prove that the initial degenerations of Fl_0(n)—the open subvariety of the complete flag variety Fl(n) consisting of flags in general position—are smooth and irreducible when n ≤ 4. We also study the Chow quotient of Fl(n) by the diagonal torus of PGL(n)\, and show that\, for n=4\, this is a log crepant resolution of its log canonical model. This is based on joint work with Jorge Alberto Olarte.
URL:https://crc326gaus.de/event/tba-7/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220708T164500
DTEND;TZID=Europe/Berlin:20220708T174500
DTSTAMP:20260601T095118
CREATED:20220614T115752Z
LAST-MODIFIED:20220623T074804Z
UID:3139-1657298700-1657302300@crc326gaus.de
SUMMARY:An analogue of Kirchhoff's theorem for the tropical Prym variety
DESCRIPTION:TGiZ-Seminar: Tropical geometry in Zoom (Third meeting Summer Semester 2022)\nDmitry Zakharov (Central Michigan University) \nAbstract: The Jacobian of a finite graph is a finite abelian group\, and Kirchhoff’s celebrated matrix tree theorem computes the order of the Jacobian as the number of spanning trees of the graph. The Jacobian Jac(G) of a metric graph G is a real torus of dimension equal to b_1(G)\, and a weighted version of Kirchhoff’s theorem expresses the volume of Jac(G) as a weighted sum over all spanning trees of G. \nA recent paper of An\, Baker\, Kuperberg\, and Shokrieh gives a geometric interpretation of the weighted matrix-tree theorem of a metric graph G\, based on an earlier result of Mikhalkin and Zharkov. Namely\, each element of Jac(G) is represented by a unique (up to translation) so-called break divisor. The type of break divisor defines a canonical cellular decomposition of Jac(G)\, and the individual terms in the volume formula for Jac(G) are the volumes of the cells. \nI will state and prove analogous results for the tropical Prym variety Pr(G’/G) associated to a double cover of metric graphs G’->G\, as defined by Jensen\, Len\, and Ulirsch. The volume of Pr(G’/G) is calculated as a weighted sum over certain collections of spanning cycles on the target graph G\, generalizing a similar result of Zaslavsky\, Reiner and Tseng for ordinary graphs. I will then give a geometric interpretation of the volume formula in terms of a semi-canonical representability result for Prym divisors. I will discuss possible applications to the problem of resolving the Prym-Torelli map.
URL:https://crc326gaus.de/event/tba-8/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220714T140000
DTEND;TZID=Europe/Berlin:20220714T160000
DTSTAMP:20260601T095118
CREATED:20220629T091840Z
LAST-MODIFIED:20220707T064709Z
UID:3223-1657807200-1657814400@crc326gaus.de
SUMMARY:Localization theorem for algebraic stacks
DESCRIPTION:
URL:https://crc326gaus.de/event/tba-10/
LOCATION:Mainz\, Hilbertraum (05-432) and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220722T133000
DTEND;TZID=Europe/Berlin:20220722T150000
DTSTAMP:20260601T095118
CREATED:20220715T125329Z
LAST-MODIFIED:20220715T125329Z
UID:3326-1658496600-1658502000@crc326gaus.de
SUMMARY:Heights of Bloch cycles and limit mixed Hodge structures
DESCRIPTION:Prof. Robin de Jong (Universität Leiden)
URL:https://crc326gaus.de/event/heights-of-bloch-cycles-and-limit-mixed-hodge-structures/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Dr. Ana Mar%C3%ADa Botero":MAILTO:abotero@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220722T140000
DTEND;TZID=Europe/Berlin:20220722T174000
DTSTAMP:20260601T095118
CREATED:20220411T114929Z
LAST-MODIFIED:20220720T064802Z
UID:2601-1658498400-1658511600@crc326gaus.de
SUMMARY:The geometry of coherent sheaves: From derived categories to Higgs bundles
DESCRIPTION:GAUS-Workshop: “Non-Abelian Hodge theory for real Lie groups and applications” \n14:00-15:00: Oscar Garcia-Prada (Madrid)\nNon-abelian Hodge correspondence for real groups and higher Teichmüller spaces\n15:20-16:20: Florent Schaffhauser (Bogota)\nHigher Teichmüller spaces for orbifolds\n16:40-17:40: Brian Collier (Riverside)\nHolomorphic curves and cyclic G2-Higgs bundles
URL:https://crc326gaus.de/event/the-geometry-of-coherent-sheaves-from-derived-categories-to-higgs-bundles-4/
LOCATION:Frankfurt and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20220729T140000
DTEND;TZID=Europe/Berlin:20220729T170000
DTSTAMP:20260601T095118
CREATED:20220727T082203Z
LAST-MODIFIED:20220727T082203Z
UID:3392-1659103200-1659114000@crc326gaus.de
SUMMARY:Six Functors and Descent for Solid Sheaves on Discrete Adic Spaces
DESCRIPTION:There will be a „Vorsitzung“ on Thursday (July 28) evening\nat 19:30 in Darmstadt Biergarten\n(Dieburger Strasse 97\, 64287 Darmstadt\, www.biergarten-darmstadt.com)\nEverybody is invited to join. Please write me a short e-mail\nif you are interested in joining.\nZoom\, Meeting-ID 839 7522 1432\nKenncode 053320
URL:https://crc326gaus.de/event/six-functors-and-descent-for-solid-sheaves-on-discrete-adic-spaces/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221014T133000
DTEND;TZID=Europe/Berlin:20221014T150000
DTSTAMP:20260601T095118
CREATED:20221005T125135Z
LAST-MODIFIED:20221005T125257Z
UID:3731-1665754200-1665759600@crc326gaus.de
SUMMARY:Towards local uniformization of non-archimedean surfaces
DESCRIPTION:Prof. Dr. Michael Temkin (The Hebrew University of Jerusalem)
URL:https://crc326gaus.de/event/towards-local-uniformization-of-non-archimedean-surfaces/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20221020T150000
DTEND;TZID=Europe/Berlin:20221020T160000
DTSTAMP:20260601T095118
CREATED:20221003T125115Z
LAST-MODIFIED:20221004T080517Z
UID:3688-1666278000-1666281600@crc326gaus.de
SUMMARY:Characterizing every finitely generated field by a field axiom
DESCRIPTION:Oberseminar Algebra und Geometrie \nFlorian Pop (University of Pennsylvania\, Philadelphia) \nAbstract:\nRecall that the Hilbert Problem 10 (HP10) has a negative answer (by work of Davis\, Putman\, Julia Robinson\, culminating with Matijasevich). That implies at least intuitively that the arithmetic of global fields is “very complicated.” An intriguing question arising from the negative solution to HP10 is whether the arithmetic is so complicated that the isomorphism type of every global field can be “encoded” in a single field axiom\, i.e.\, whether for every global field $K$ there is a field axiom\, say $\varphi_K$\, such that for all global fields $L$ one has $L\cong K$\, provided $\varphi_K$ is true in $L$. It was shown by Rumely in 1980 that such a field axiom $\varphi_K$ does exist indeed for every global field $K$. In my talk I will explain all the terms\, and show that the above fact is true for  all finitely generated fields. This is joint work with Philip Dittmann.
URL:https://crc326gaus.de/event/tba-19/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
END:VCALENDAR