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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230601T141500
DTEND;TZID=Europe/Berlin:20230601T151500
DTSTAMP:20260404T000501
CREATED:20230321T082143Z
LAST-MODIFIED:20230519T080320Z
UID:5120-1685628900-1685632500@crc326gaus.de
SUMMARY:Motivic homotopy theory beyond A^1-invariance
DESCRIPTION:Ryomei Iwasa (Paris) \nAbstract: The basic question I’d like to address in this talk is the following: How to do homotopy theory in algebraic geometry while keeping the affine line A^1 non-contractible? I will explain that tensor invertibility of the pointed projective line P^1 supplies homotopies between projective bundle sections in a non-trivial but canonical way. This dramatically expands the scope of motivic homotopy theory\, and non-A^1-invariant theories such as syntomic cohomology\, prismatic cohomology\, algebraic K-theory\, and topological cyclic homology can be studied from this perspective. In particular\, I’ll explain that algebraic and Selmer K-theory are described by Snaith-type formulas. Based on joint work with Toni Annala and Marc Hoyois.
URL:https://crc326gaus.de/event/tba-35/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230601T093000
DTEND;TZID=Europe/Berlin:20230601T110000
DTSTAMP:20260404T000501
CREATED:20230425T143644Z
LAST-MODIFIED:20230425T143644Z
UID:5652-1685611800-1685617200@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Talk 5: Morten Lüders (Universität Heidelberg): Symmetric monoidal ∞-categories and 6FF
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality-5/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230531T161500
DTEND;TZID=Europe/Berlin:20230531T171500
DTSTAMP:20260404T000501
CREATED:20230516T065816Z
LAST-MODIFIED:20230516T121814Z
UID:5835-1685549700-1685553300@crc326gaus.de
SUMMARY:Hidden structures on de Rham cohomology of p-adic analytic varieties
DESCRIPTION:Oberseminar Algebra und Geometrie \nWieslawa Niziol (CNRS\,  Sorbonne Université\, Paris) \nAbstract: I will survey what we know about extra structures (Hodge filtration\, Frobenius\, monodromy) appearing on de Rham cohomology of analytic varieties over local fields of mixed characteristic.
URL:https://crc326gaus.de/event/hidden-structures-on-de-rham-cohomology-of-p-adic-analytic-varieties/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230531T131500
DTEND;TZID=Europe/Berlin:20230531T170000
DTSTAMP:20260404T000501
CREATED:20230404T125149Z
LAST-MODIFIED:20230511T130100Z
UID:5314-1685538900-1685552400@crc326gaus.de
SUMMARY:Superconnections\, Theta series and period domains
DESCRIPTION:Relations with the Kudla–Millson forms \nGabriele Bogo (TU Darmstadt) \nZoom meeting ID 667 3384 5311 \nPassword on request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains-4/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230530T140000
DTEND;TZID=Europe/Berlin:20230530T160000
DTSTAMP:20260404T000501
CREATED:20230508T081909Z
LAST-MODIFIED:20230516T121616Z
UID:5753-1685455200-1685462400@crc326gaus.de
SUMMARY:On Emerton's factorization of completed cohomology
DESCRIPTION:Seminar: Non-archimedean geometry \nPierre Colmez (CNRS\, Sorbonne Université\, Paris) \nAbstract: Emerton has given a factorization of the completed cohomology of the tower of modular curves\, separating the contributions of all the groups that act (i.e.\, the absolute Galois group of ${\mathbb Q}$ and the ${\mathrm GL}_2({\mathbb Q}_\ell)$ for all primes $\ell$).\nI will explain how one can use p-adic Hodge theory to construct a Kirillov model for the completed cohomology and obtain a more direct construction of this factorization.
URL:https://crc326gaus.de/event/tba-57/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 308
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Annette Werner":MAILTO:werner[at]math.uni-frankfurt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230530T133000
DTEND;TZID=Europe/Berlin:20230530T150000
DTSTAMP:20260404T000501
CREATED:20230505T110009Z
LAST-MODIFIED:20230505T110009Z
UID:5744-1685453400-1685458800@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Sriram Chinthalagiri Venkata: Drinfeld modular forms of prime power levels via vectorial modular forms \nWe now focus on another application of VDMFs for obtaining Drinfeld modular forms of\ncertain level. This will be done by evaluating T-valued functions on a particular point of C∞\nas well as taking the hyperderivatives of entries of VDMFs. More precisely\, the talk should\ncover the content of [PP18\, Prop. 4.11] and [PP18\, Prop. 4.19]. Hence it should be organized\nso that all necessary background\, such as Drinfeld modular forms for congruence subgroups and notion of hyperderivatives\, to achieve the above mentioned results are introduced. The main references are [PP18\, §4.1–4.2.4] and [PP18\, §4.4–4.4.2].
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-6/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="O%C4%9Fuz Gezmi%C5%9F":MAILTO:oguz.gezmis@iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230530T090000
DTEND;TZID=Europe/Berlin:20230530T100000
DTSTAMP:20260404T000501
CREATED:20230414T123131Z
LAST-MODIFIED:20230523T085021Z
UID:5395-1685437200-1685440800@crc326gaus.de
SUMMARY:Discontinuity property of a certain Habiro series at roots of unity
DESCRIPTION:International Seminar on Automorphic Forms \nToshiki Matsusaka (Kyushu University) \nThe object of this talk is a family of q-series originating from Habiro’s work on the Witten-Reshetikhin-Turaev invariants. The q-series usually make sense only when q is a root of unity\, but for some instances\, it also determines a holomorphic function on the open unit disc. Such an example is Habiro’s unified WRT invariant H(q) for the Poincaré homology sphere. In 2007\, Hikami observed its discontinuity at roots of unity. More precisely\, the value of H(ζ) at a root of unity is 1/2 times the limit value of H(q) as q tends towards ζ radially within the unit disc. In this talk\, we give an explanation of the appearance of the 1/2 factor and generalize Hikami’s observations by using Bailey’s lemma and the theory of mock/false theta functions. \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/tba-41/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230526T133000
DTEND;TZID=Europe/Berlin:20230526T150000
DTSTAMP:20260404T000501
CREATED:20230517T134409Z
LAST-MODIFIED:20230519T185959Z
UID:5864-1685107800-1685113200@crc326gaus.de
SUMMARY:An equivariant local epsilon constant conjecture
DESCRIPTION:Alessandro Cobbe (Universität Heidelberg)\nAbstract: The local epsilon constant conjecture in the formulation by Breuning of 2004 fits into the general framework of the equivariant Tamagawa number conjecture (ETNC) and should be interpreted as a consequence of the expected compatibility of the ETNC with the functional equation of Artin-L-functions. It relates local epsilon constants\, which are associated to L-functions\, to some terms which originate from local Galois cohomology groups of Z_p(1). We will also look at more general versions of the conjecture\, obtained by twisting Z_p(1) with unramified representations. This is joint work with Werner Bley.
URL:https://crc326gaus.de/event/tba-56/
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:20230525T151500
DTEND;TZID=Europe/Berlin:20230525T174500
DTSTAMP:20260404T000501
CREATED:20230329T114449Z
LAST-MODIFIED:20230503T090642Z
UID:5242-1685027700-1685036700@crc326gaus.de
SUMMARY:Bridgeland stability conditions and applications
DESCRIPTION:Talk 5: K. Kühn (Goethe Universität Frankfurt): Stability conditions on triangulated categories \nTalk 6: J. Horn (Goethe Universität Frankfurt): The stability manifold
URL:https://crc326gaus.de/event/bridgeland-stability-conditions-and-applications-4/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230525T093000
DTEND;TZID=Europe/Berlin:20230525T110000
DTSTAMP:20260404T000501
CREATED:20230425T143407Z
LAST-MODIFIED:20230425T143407Z
UID:5650-1685007000-1685012400@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Talk 4: Christian Dahlhausen (Universität Heidelberg): 6FF: ∞-categorical background
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality-4/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230524T160000
DTEND;TZID=Europe/Berlin:20230524T170000
DTSTAMP:20260404T000501
CREATED:20230502T084120Z
LAST-MODIFIED:20230502T084120Z
UID:5701-1684944000-1684947600@crc326gaus.de
SUMMARY:Periods\, Power Series\, and Integrated Algebraic Numbers
DESCRIPTION:Oberseminar Algebra und Geometrie \nTobias Kaiser (Universität Passau) \nAbstract:\nPeriods are defined as integrals of semialgebraic functions defined over the rationals. Periods form a countable ring not much is known about. Examples are given by taking the antiderivative of a power series which is algebraic over the polynomial ring over the rationals and evaluate it at a rational number. We follow this path and close these algebraic power series under taking iterated antiderivatives and nearby algebraic and geometric operations. We obtain a system of rings of power series whose coefficients form a countable real closed field. Using techniques from o-minimality we are able to show that every period belongs to this field. In the setting of o-minimality we define exponential integrated algebraic numbers and show that exponential periods and the Euler constant are exponential integrated algebraic number. Hence they are a good candiate for a natural number system extending the period ring and containing important mathematical constants.
URL:https://crc326gaus.de/event/periods-power-series-and-integrated-algebraic-numbers/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230524T131500
DTEND;TZID=Europe/Berlin:20230524T144500
DTSTAMP:20260404T000501
CREATED:20230404T124956Z
LAST-MODIFIED:20230510T114107Z
UID:5312-1684934100-1684939500@crc326gaus.de
SUMMARY:Superconnections\, theta series\, and period domains
DESCRIPTION:Period domains and invariant forms \nJiaming Chen \nZoom meeting ID 667 3384 5311 \nPassword on request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains-3/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230523T140000
DTEND;TZID=Europe/Berlin:20230523T160000
DTSTAMP:20260404T000501
CREATED:20230502T084529Z
LAST-MODIFIED:20230519T150512Z
UID:5705-1684850400-1684857600@crc326gaus.de
SUMMARY:Prismatic F-crystals associated with strongly divisible modules
DESCRIPTION:Seminar: Non-archimedean geometry \nMatti Würthen (Universität Frankfurt) \nAbstract: The talk will be about the relationship between two different categories associated with the category of lattices in crystalline representations with small Hodge-Tate weights. In particular\, I will explain how to attach a prismatic Frobenius crystal to a (crystalline) strongly divisible module.\nTime permitting\, I will also sketch how this can be extended to higher dimensions.
URL:https://crc326gaus.de/event/tba-55/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 308
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Annette Werner":MAILTO:werner[at]math.uni-frankfurt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230523T133000
DTEND;TZID=Europe/Berlin:20230523T150000
DTSTAMP:20260404T000501
CREATED:20230505T105745Z
LAST-MODIFIED:20230505T105745Z
UID:5742-1684848600-1684854000@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Gebhard Böckle: Vectorial Drinfeld modular forms \nOur fifth talk is to start investigating VDMFs as well as discussing their several propertieswhich will be later used to reveal some applications for Drinfeld modular forms. They areweak VDMFs corresponding to a certain character with a regularity condition introduced in[PP18\, Def. 3.4(2)]. After defining VDMFs\, we revisit the deformation of Eisenstein seriesand prove [PP18\, Prop. 3.7] which gives the Fourier expansion of their each entry (see also[Pel12\, Lem. 21]). An equivalent condition for the regularity [PP18\, Cor. 2.6] should alsobe analyzed. Later on\, we introduce the function F discussed in the previous talk and showthat it is indeed not a VDMF in the sense of [PP18]. The final goal is to prove [PP18\, Thm.3.9] which allows one to decompose a certain space of VDMFs into components generatedby an Eisenstein series E1 and its twist\, the image of E1 under the q-th power Frobenius\nautomorphism of T.
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-5/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230522T140000
DTEND;TZID=Europe/Berlin:20230522T153000
DTSTAMP:20260404T000501
CREATED:20230417T121739Z
LAST-MODIFIED:20230511T124335Z
UID:5493-1684764000-1684769400@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Patrick Bieker:  G# a and GdR \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002
URL:https://crc326gaus.de/event/prismatization-5/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230517T131500
DTEND;TZID=Europe/Berlin:20230517T170000
DTSTAMP:20260404T000501
CREATED:20230404T124505Z
LAST-MODIFIED:20230511T130017Z
UID:5310-1684329300-1684342800@crc326gaus.de
SUMMARY:Superconnections\, Theta series and period domains
DESCRIPTION:Superconnections \nMingkuan Zhang (TU Darmstadt)\n \nZoom meeting ID 667 3384 5311 \nPassword on request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains-2/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230516T160000
DTEND;TZID=Europe/Berlin:20230516T170000
DTSTAMP:20260404T000501
CREATED:20230414T122931Z
LAST-MODIFIED:20230508T083903Z
UID:5393-1684252800-1684256400@crc326gaus.de
SUMMARY:Endoscopy for GSp(4) and rational points on elliptic curves
DESCRIPTION:International Seminar on Automorphic Forms \nI report on a joint project with M. Bertolini \, M.A. Seveso and R. Venerucci\, aimed at studying the equivariant BSD conjecture for rational elliptic curves twisted by certain self-dual 4-dimensional Artin representations in situations of odd analytic rank. We use the endoscopy for GSp(4) to construct Selmer classes related to the relevant (complex and p-adic) L-values via explicit reciprocity laws.  \nFabrizio Andreatta (University of Milan) \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/tba-40/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230516T133000
DTEND;TZID=Europe/Berlin:20230516T150000
DTSTAMP:20260404T000501
CREATED:20230505T105520Z
LAST-MODIFIED:20230511T134601Z
UID:5740-1684243800-1684249200@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Alireza Shavali Kohshor: Special values of L-functions \n 
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-4/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="O%C4%9Fuz Gezmi%C5%9F":MAILTO:oguz.gezmis@iwr.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230515T140000
DTEND;TZID=Europe/Berlin:20230515T153000
DTSTAMP:20260404T000501
CREATED:20230417T121541Z
LAST-MODIFIED:20230511T124257Z
UID:5491-1684159200-1684164600@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Rizacan  Ciloglu (TU Darmstadt): Warm-Up: De Rham cohomology in characteristik 0 \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002 \n 
URL:https://crc326gaus.de/event/prismatization-4/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230512T133000
DTEND;TZID=Europe/Berlin:20230512T150000
DTSTAMP:20260404T000501
CREATED:20230505T131942Z
LAST-MODIFIED:20230505T131942Z
UID:5748-1683898200-1683903600@crc326gaus.de
SUMMARY:A quadratically refined tropical Bézout theorem
DESCRIPTION:Sabrina Pauli (Düsseldorf) \nAbstract: Results from motivic homotopy theory allow to study questions in enumerative geometry over an arbitrary field k. In this case the answer to these questions is not a number but a quadratic form carrying arithmetic information about the count. Using tropical geometry one can translate questions from enumerative geometry to questions in combinatorics which are often easier to solve. In my talk I will present one of the first examples of how to use tropical geometry for questions in enumerative geometry over an arbitrary field k\, namely a proof of Bézout’s theorem for tropical curves. This is joint work with Andrés Jaramillo Puentes. \n 
URL:https://crc326gaus.de/event/a-quadratically-refined-tropical-bezout-theorem/
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:20230511T140000
DTEND;TZID=Europe/Berlin:20230511T160000
DTSTAMP:20260404T000501
CREATED:20230417T071727Z
LAST-MODIFIED:20230427T120413Z
UID:5436-1683813600-1683820800@crc326gaus.de
SUMMARY:Algebraicity and p-adic interpolation of critical Hecke L-values
DESCRIPTION:Johannes Sprang (Essen) \nAbstract: Euler’s beautiful formula on the values of the Riemann zeta function at the positive even integers can be seen as the starting point of the investigation of special values of L-functions. In particular\, Euler’s result shows that all critical zeta values are rational up to multiplication with a particular period\, here the period is a power of 2πi. Conjecturally this is expected to hold for all critical L-values of motives. In this talk\, I will explain a joint result with Guido Kings on the algebraicity of critical Hecke L-values up to explicit periods for totally imaginary fields. If time permits\, I will discuss the construction of p-adic L-functions for such fields as an application.
URL:https://crc326gaus.de/event/tba-48/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230510T164500
DTEND;TZID=Europe/Berlin:20230510T180000
DTSTAMP:20260404T000501
CREATED:20230419T065010Z
LAST-MODIFIED:20231115T130317Z
UID:5557-1683737100-1683741600@crc326gaus.de
SUMMARY:Tropical perspectives in enumerative geometry
DESCRIPTION:Frankfurter Seminar – Kolloquium des Instituts für Mathematik \nRenzo Cavalieri (Colorado State University\, Fort Collins) \nAbstract: Enumerative geometry is an ancient branch of mathematics that aims to count the number of geometric objects that satisfy some constrains: the primordial enumerative geometric statement is that there is a unique straight line that passes through two distinct points in a plane. While enumerative geometric questions are often easy to state\, the attempts to answer them have both employed and spurred the development of several mathematical techniques.\nThis talk will be a broad and hopefully friendly survey of how tropical geometry has become an important actor for several enumerative problems especially related to counting curves. I will use Hurwitz theory as the running example\, and show how tropical geometry provides us not only with an interesting approach to classical Hurwitz theory\, but also allows us to define „new“ enumerative problems of Hurwitz type. Much of the work presented has been collaborative work with Paul Johnson\, Hannah Markwig\, Dhruv Ranganathan and Johannes Schmitt.
URL:https://crc326gaus.de/event/tropical-perspectives-in-enumerative-geometry/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230510T131500
DTEND;TZID=Europe/Berlin:20230510T144500
DTSTAMP:20260404T000501
CREATED:20230404T122437Z
LAST-MODIFIED:20230510T113937Z
UID:5306-1683724500-1683729900@crc326gaus.de
SUMMARY:Superconnections\, Theta series and period domains
DESCRIPTION:Some classical results of Kudla and Millson. \nFabian Scherf \nZoom meeting ID 667 3384 5311 \nPassword in request.
URL:https://crc326gaus.de/event/superconnections-theta-series-and-period-domains/
LOCATION:Darmstadt\, Room 244 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289
CATEGORIES:GAUS-AG
ORGANIZER;CN="Jan Hendrik Bruinier":MAILTO:bruinier@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230509T160000
DTEND;TZID=Europe/Berlin:20230509T170000
DTSTAMP:20260404T000501
CREATED:20230505T150422Z
LAST-MODIFIED:20230505T150422Z
UID:5750-1683648000-1683651600@crc326gaus.de
SUMMARY:p-adic Gross-Zagier and rational points on modular curves
DESCRIPTION:International Seminar on Automorphic Forms \nSachi Hashimoto (MPI Leipzig) \nFaltings’ theorem states that there are finitely many rational points on a nice projective curve defined over the rationals of genus at least 2. The quadratic Chabauty method makes explicit some cases of Faltings’ theorem. Quadratic Chabauty has recent notable success in determining the rational points of some modular curves. In this talk\, I will explain how we can leverage information from p-adic Gross-Zagier formulas to give a new quadratic Chabauty method for certain modular curves. Gross-Zagier formulas relate analytic quantities (special values of p-adic L-functions) to invariants of algebraic cycles (the p-adic height and logarithm of Heegner points). By using p-adic Gross-Zagier formulas\, this new quadratic Chabauty method makes essential use of modular forms to determine rational points.  \nYou can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736 \nThe password is the first Fourier coefficient of the modular j-function (as digits).
URL:https://crc326gaus.de/event/p-adic-gross-zagier-and-rational-points-on-modular-curves-2/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230509T140000
DTEND;TZID=Europe/Berlin:20230509T160000
DTSTAMP:20260404T000501
CREATED:20230425T110303Z
LAST-MODIFIED:20230508T084428Z
UID:5619-1683640800-1683648000@crc326gaus.de
SUMMARY:Comparison of tame and log-étale cohomology
DESCRIPTION:Seminar: Non-archimedean geometry \nAmine Koubaa (Universität Frankfurt) \nAbstract:\nGiven a regular scheme $X$ and a normal crossing divisor $D$ one may concider two different cohomology groups.\nThe first one is the log étale cohomology developed by Illusie\, K. Kato and many others: We associate a logarithmic structure $M$ to $X$ and define the log étale site over $(X\,M)$.The second one is the tame cohomology developed by Hübner and Schmidt. Here we consider the tame site over the discretely ringed adic space $Spa(X\backslash D\,X)$. Tame morphisms are those which are étale and induce at most tamely ramified extension on the valuations.We construct a comparison morphism between these cohomology groups and prove that they are equal for schemes over $\mathbb{F}_p$ and locally constant finite sheaves once we assume resolution of singularities.“
URL:https://crc326gaus.de/event/comparison-of-tame-and-log-etale-cohomology-copy/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 308
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Annette Werner":MAILTO:werner[at]math.uni-frankfurt.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230509T133000
DTEND;TZID=Europe/Berlin:20230509T150000
DTSTAMP:20260404T000501
CREATED:20230505T105251Z
LAST-MODIFIED:20230505T105251Z
UID:5737-1683639000-1683644400@crc326gaus.de
SUMMARY:Vectorial Drinfeld modular forms over Tate algebras
DESCRIPTION:Paola Francesca Chilla: Introduction to weak vectorial Drinfeld modular forms \nOur goal in this talk is to introduce weak vectorial Drinfeld modular forms which will\nhave a crucial role to determine special values of Goss L-functions. We need to emphasize\nthat VDMFs given in [Pel12\, Def. 12] are indeed seen as weak VDMFs in [PP18\, Def. 3.4].\nThroughout the seminar\, we will borrow this terminology and call them weak VDMFs. Our\nmain goal for the talk is to analyze the C∞-vector spaces of a certain subclass of weak\nVDMFs studied in [Pel12]. The talk will start with basic definitions. Later on we prove\n[Pel12\, Lem. 13] which indeed implies that one dimensional weak VDMFs corresponding to\nthe trivial representation 1 are nothing but weak Drinfeld modular forms tensored with T.\nThis will imply that the space of Drinfeld modular forms tensored with T is equal to the\nspace of VDMFs corresponding to 1. Thus one needs to focus on the higher dimension case\nto produce non-trivial examples. For this aim\, we define the functions F and F∗ given in\n[Pel12\, §2.2\, 2.3]\, which are examples of weak VDMFs of dimension two constructed by using\nAnderson generating functions. We also define the deformation of the Eisenstein series. We will finalize the talk with a sketch of the proof of [Pel12\, Prop. 19]. The main references are[Pel12\, §1\,2] and [Pel14\, §2\,3]
URL:https://crc326gaus.de/event/vectorial-drinfeld-modular-forms-over-tate-algebras-3/
LOCATION:Heidelberg\, Mathematikon\, SR 8 and Zoom\, INF 205\, Heidelberg\, Germany
CATEGORIES:GAUS-AG
ORGANIZER;CN="Gebhard B%C3%B6ckle":MAILTO:gebhard.boeckle iwr.uni-heidelberg.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230508T140000
DTEND;TZID=Europe/Berlin:20230508T153000
DTSTAMP:20260404T000501
CREATED:20230417T120709Z
LAST-MODIFIED:20230417T125018Z
UID:5485-1683554400-1683559800@crc326gaus.de
SUMMARY:Prismatization
DESCRIPTION:Tom Bachmann (Uni Mainz): Filtrations and endomorphisms via stacks \nMain references: [Bhatt\, Section 2.2.1 and 2.2.2]\, [BL1\, App. D]\, and\n[Mou].\n(1) Explain quotient stacks of a scheme by a functor of groups\, see for instance\n[Kha\, Section 4.4\, in particular Theorem 4.28]8.\n(2) Explain the notion of a graded and a filtered derived category. Explain\ncompleteness\, canonical and stupid filtration\, mention its symmetric monoidal structure without defining precisely what a symmetric monoidal\nstructure is9\, and explain the standard and the Beilinson t-structure.\n3(3) Introduce the quotient stack A1=Gm\, explain that it classifies generalized\nCartier divisors\, see [Bhatt\, 2.2.5] or [KhRy\, 3.2].\n(4) Formulate and prove [Bhatt\, 2.2.6 + 2.2.8].\n(5) Explain Gca and V\(E) for a vector bundle E.\n(6) Explain [Bhatt\, 2.2.12 + 2.2.13] without going too much into detail although it would be nice to see\, where \characteristic zero” is needed.\n(7) If time permits\, explain [Bhatt\, 2.2.14 { 2.2.16].\n(8) In any case\, explain [Bhatt\, 2.2.17]. \nhttps://tu-darmstadt.zoom.us/j/62421505417?pwd=NDhEdUJPb0RaUTNzQyt4R0U1N2lzUT09 \nMeeting-ID: 624 2150 5417\nKenncode: 100002
URL:https://crc326gaus.de/event/prismatization-3/
LOCATION:Darmstadt and Mainz and Zoom
CATEGORIES:GAUS-AG
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T164500
DTEND;TZID=Europe/Berlin:20230505T174500
DTSTAMP:20260404T000501
CREATED:20230403T131339Z
LAST-MODIFIED:20230418T125134Z
UID:5293-1683305100-1683308700@crc326gaus.de
SUMMARY:Tropical functions on skeletons: a finiteness result
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nAntoine Ducros (Sorbonne Université\, Paris) \nAbstract: Skeletons are subsets of non-archimedean spaces (in the sense of Berkovich) that inherit from the ambiant space a natural PL (piecewise-linear) structure\, and if S is such a skeleton\, for every invertible holomorphic function f defined in a neighborhood of S\, the restriction of log |f| to S is PL.\nIn this talk\, I will present a joint work with E.Hrushovski F. Loeser and J. Ye in which we consider an irreducible algebraic variety X over an algebraically closed\, non-trivially valued and complete non-archimedean field k\, and a skeleton S of the analytification of X defined using only algebraic functions\, and consisting of Zariski-generic points. If f is a non-zero rational function on X then log |f| induces a PL function on S\, and if we denote by E the group of all PL functions on S that are of this form\, we  prove the following finiteness result on the group E: it is stable under min and max\, and there exist finitely many non-zero rational functions f_1\,…f_m on X such that E is generated\, as a group equipped with min and max operators\, by the log |f_i| and the constants |a| for a in k^*. Our proof makes a crucial use of Hrushovski-Loeser’s model-theoretic approach of Berkovich spaces. \n 
URL:https://crc326gaus.de/event/tba-36/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T153000
DTEND;TZID=Europe/Berlin:20230505T163000
DTSTAMP:20260404T000501
CREATED:20230417T120646Z
LAST-MODIFIED:20230510T075032Z
UID:5483-1683300600-1683304200@crc326gaus.de
SUMMARY:Tropical spin Hurwitz numbers
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nLou-Jean Cobigo (Universität Tübingen) \nAbstract: Classical Hurwitz numbers count the number of branched covers of a fixed target curve that exhibit a certain ramification behaviour. It is an enumerative problem deeply rooted in mathematical history.\nA modern twist: Spin Hurwitz numbers were introduced by Eskin-Okounkov-Pandharipande for certain computations in the moduli space of differentials on a Riemann surface.\nSimilarly to Hurwitz numbers they are defined as a weighted count of branched coverings of a smooth algebraic curve with fixed degree and branching profile. In addition\, they include information about the lift of a theta characteristic of fixed parity on the base curve. \nIn this talk we investigate them from a tropical point of view. We start by defining tropical spin Hurwitz numbers as result of an algebraic degeneration procedure\, but soon notice that these have a natural place in the tropical world as tropical covers with tropical theta characteristics on source and target curve.\nOur main results are two correspondence theorems stating the equality of the tropical spin Hurwitz number with the classical one.
URL:https://crc326gaus.de/event/tba-copy/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230505T140000
DTEND;TZID=Europe/Berlin:20230505T150000
DTSTAMP:20260404T000501
CREATED:20230417T120432Z
LAST-MODIFIED:20230419T065259Z
UID:5481-1683295200-1683298800@crc326gaus.de
SUMMARY:The SYZ conjecture for families of hypersurfaces
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (First meeting Summer Semester 2023) \nLéonard Pille-Schneider (ENS\, Paris) \nAbstract: Let X -> D* be a polarized family of complex Calabi-Yau manifolds\, whose complex structure degenerates in the worst possible way. The SYZ conjecture predicts that the fibers X_t\, as t ->0\, degenerate to a tropical object; and in particular the program of Kontsevich and Soibelman relates it to the Berkovich analytification of X\, viewed as a variety over the non-archimedean field of complex Laurent series.\nI will explain the ideas of this program and some recent progress in the case of hypersurfaces.
URL:https://crc326gaus.de/event/tba-50/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
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