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X-WR-CALDESC:Events for CRC 326 - GAUS
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260619T133000
DTEND;TZID=Europe/Berlin:20260619T143000
DTSTAMP:20260619T135737
CREATED:20260519T104110Z
LAST-MODIFIED:20260519T104110Z
UID:13427-1781875800-1781879400@crc326gaus.de
SUMMARY:On arithmetical surjectivity and the Conjecture of Colliot-Thelene
DESCRIPTION:Florian Pop (University of Pennsylvania) \nThe notion of ‘arithmetical surjectivity’ (a.s.) for dominant morphisms f of proper smooth varieties over number fields was introduced by Colliot-Thelene\, and he made a precise\nconjecture (CCT) relating a.s. to birational properties of the morphisms f. The CCT was proved in a sharper form by Denef (2019)\, and Loughran-Skorobogatov-Smeets gave a\ncharacterization of a.s. (2020). I will present a new method of proof which allows generalizations/refinements of the above results by: First\, allowing k to be any finitely generated base fields k with char(k)=0 (and beyond). Second\, showing that a.s. is a fully birational property\, i.e.\, a.s. depends only on properties of the function field extension defined by morphisms f. The method of proof also yields generalizations of the so called\nzero-cycle surjectivity\, considered/characterized over number fields by Gvirtz (2020).\nNOTE: The problems are completely open in positive characteristic!
URL:https://crc326gaus.de/event/on-arithmetical-surjectivity-and-the-conjecture-of-colliot-thelene/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260619T153000
DTEND;TZID=Europe/Berlin:20260619T170000
DTSTAMP:20260619T135737
CREATED:20260319T100422Z
LAST-MODIFIED:20260520T110437Z
UID:12879-1781883000-1781888400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Louisa Bröring (Duisburg-Essen): Quadratic Euler Characteristic of Geometrically Cyclic Branched Coverings \nThe quadratic Euler characteristic $\chi(X)$ of a smooth\, projective scheme\n$X$ over a field $k$ of characteristic not two is a refinement of the\ntopological Euler characteristic to quadratic forms\, constructed using motivic\nhomotopy theory. For example\, if $k\subset \mathbb{R}$\, then rank of $\chi(X)$\nis equal to the topological Euler characteristic of $X(\mathbb{C})$ and the\nsignature of $\chi(X)$ with respect to the given embedding is equal to the\ntopological Euler characteristic of $X(\mathbb{R})$. The quadratic Euler\ncharacteristic plays an import role in the programme of $\mathbb{A}^1$-refined\nenumerative geometry. \nAfter briefly introducing the quadratic Euler characteristic\, we present a\ncomputation of the quadratic Euler characteristic of geometrically cyclic\nbranched coverings leveraging Levine’s quadratic Riemann-Hurwitz formula. An\n$n$-fold geometrically cyclic branched covering is a morphism $f\colon Y \to\nX$ between smooth\, projective schemes together with a smooth\, closed subscheme\n$Z \subset X$ satisfying the following condition: there exists a line bundle\n$L$ over $X$ and a section $s \colon X \to L^{\otimes n}$ such that $Z$ is the\nzero locus of $s$ and $f$ is the pullback along $s$ of the map $L \to\nL^{\otimes n}$ taking $n$-th powers. \nAs an application\, we compute the quadratic Euler characteristic of branched\ndouble covers of $\mathbb{P}^2$\, which includes some K3 surfaces. \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-35/
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:20260624T140000
DTEND;TZID=Europe/Berlin:20260624T160000
DTSTAMP:20260619T135737
CREATED:20260616T062328Z
LAST-MODIFIED:20260616T062328Z
UID:13585-1782309600-1782316800@crc326gaus.de
SUMMARY:Oberseminar Algebra und Geometrie
DESCRIPTION:Jonas Heintze (Universität Bonn): Poincare duality for Fargues Fontaine curve with almost coefficients \nAbstract: The Fargues-Fontaine curve is a central geometric object in modern approaches to p-adic Hodge theory. In this talk\, we will sketch ongoing work aimed at establishing Poincaré duality for the Fargues-Fontaine curve(s) viewed as analytic stacks using almost mathematics. This work is closely related to recent work of Anschütz\, Le Bras\, and Mann. \n  \n 
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie-10/
LOCATION:Frankfurt\, Robert-Mayer-Str. 6-8\, Raum 308
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260625T141500
DTEND;TZID=Europe/Berlin:20260625T151500
DTSTAMP:20260619T135737
CREATED:20260529T092432Z
LAST-MODIFIED:20260616T115630Z
UID:13471-1782396900-1782400500@crc326gaus.de
SUMMARY:AGTZ Kolloquium
DESCRIPTION:Shai Keidar (Uni Regensburg) \nTitle: pi-finite Galois theory \nAbstract: In the higher-categorical world\, Galois theory extends beyond finite groups: one can study Galois extensions for an arbitrary E_1-group. We develop such a theory for higher semiadditive categories\, where finite groups are naturally replaced by pi-finite groups. Under height assumptions\, we construct an n-truncated pro-pi-finite “absolute Galois group” representing all Galois extensions\, and develop a higher Kummer theory relating abelian extensions to the Picard spectrum. As an illustration\, we attach a pro-pi-finite Galois space to a rational Stefanich ring and give an algorithm computing it.
URL:https://crc326gaus.de/event/agtz-kolloquium-7/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260626T133000
DTEND;TZID=Europe/Berlin:20260626T143000
DTSTAMP:20260619T135737
CREATED:20260519T090513Z
LAST-MODIFIED:20260521T093535Z
UID:13425-1782480600-1782484200@crc326gaus.de
SUMMARY:Elliptic curves attached to abelian threefolds with imaginary multiplication
DESCRIPTION:Pip Goodman (University of Barcelona) \nLet A be an abelian threefold defined over a number field K whose endomorphism algebra is isomorphic to an imaginary quadratic field M. In recent joint work with Fité\, we proved the existence of an elliptic curve E defined over K with CM by M such that for any prime \ell\, the twisted Tate module V_\ell(E) (1)  is a sub representation of \wedge^3 V_\ell(A).\nIn this talk I will give an overview of the proof of the above result and present work in progress with Chidambaram and Fité where we provide explicit families of examples of the above phenomenon.
URL:https://crc326gaus.de/event/elliptic-curves-attached-to-abelian-threefolds-with-imaginary-multiplication/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260626T140000
DTEND;TZID=Europe/Berlin:20260626T160000
DTSTAMP:20260619T135737
CREATED:20260615T070624Z
LAST-MODIFIED:20260615T070624Z
UID:13580-1782482400-1782489600@crc326gaus.de
SUMMARY:The Morrison-Kawamata-Cone conjecture for Enriques surfaces in any characteristic
DESCRIPTION:Let X be a normal projective variety over an algebraically closed field and with numerically trivial canonical bundle\, for instance a Calabi-Yau manifold. The Morrison – Kawamata cone conjecture predicts that the automorphism group of X acts with a rational polyhedral fundamental domain on the effective nef cone of X. We give a new proof of the Morrison–Kawamata cone conjecture for Enriques surfaces independent of their characteristic. It is based on the analysis of certain generically finite morphisms of degree two. This is joint work with Gebhard Martin and Tobias Schnieders.
URL:https://crc326gaus.de/event/the-morrison-kawamata-cone-conjecture-for-enriques-surfaces-in-any-characteristic/
LOCATION:Heidelberg\, MATHEMATIKON\, SR 007\, Im Neuenheimer Feld 205\, Heidelberg\, 69120\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Bernhard Oberdieck":MAILTO:georgo@uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260626T143000
DTEND;TZID=Europe/Berlin:20260626T163000
DTSTAMP:20260619T135737
CREATED:20260427T115524Z
LAST-MODIFIED:20260619T073142Z
UID:13242-1782484200-1782491400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Konstantin Jakob (Darmstadt): Algebraic Loops and Stokes Braids \nThe irregular class of a rank n differential equation with an irregular singularity may be viewed as a polynomial map to the configuration space of n points. Such irregular classes feature prominently in Boalch’s construction of wild character varieties\, which are Betti moduli spaces for irregular connections. As the local coordinate winds around the singularity\, the irregular class describes the motion of eigenvalues of leading terms; this motion determines a braid\, called the Stokes braid. \nI will report on joint work with Masoud Kamgarpour and Ian Le in which we classify braids arising from such algebraic loops in terms of valuation data. I will explain why tropical geometry provides the natural language for this question\, and\, if time permits\, outline relations to several phenomena where the geometry or cohomology of spaces such as braid varieties is expected to depend only on tropical data. \nBitte früheren Beginn um 14:30 beachten.\nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-39/
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:20260701T164500
DTEND;TZID=Europe/Berlin:20260701T180000
DTSTAMP:20260619T135737
CREATED:20260618T074712Z
LAST-MODIFIED:20260618T095221Z
UID:13613-1782924300-1782928800@crc326gaus.de
SUMMARY:Transfer theorems between fields of different characteristic — a model-theoretic approach
DESCRIPTION:Franziska Jahnke (Universität Münster) \nFrankfurter Seminar \nAbstract: Under which circumstances can we use insights about fields of positive characteristic to understand fields of characteristic 0 (and conversely)?\nClassical methods to transfer results between fields of different  characteristics are the Lefshetz principle and the Ax Kochen/Ershov Theorem which states that asymptotically\, the theory of the p-adic numbers ℚp and of power series fields 𝔽p((t)) coincide. Tilting perfectoid fields gives a transfer principle between certain henselian fields of mixed characteristic and their positive characteristic counterparts and vice versa. In this talk\, we survey various transfer principles and present a model-theoretic approach to tilting via ultraproducts\, which allows us to transfer many first-order properties between a perfectoid field and its tilt. \n 
URL:https://crc326gaus.de/event/transfer-theorems-between-fields-of-different-characteristic-a-model-theoretic-approach/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260702T141500
DTEND;TZID=Europe/Berlin:20260702T151500
DTSTAMP:20260619T135737
CREATED:20260529T093017Z
LAST-MODIFIED:20260529T093017Z
UID:13473-1783001700-1783005300@crc326gaus.de
SUMMARY:AGTZ Kolloquium
DESCRIPTION:Markus Spitzweg (Uni Osnabrück)
URL:https://crc326gaus.de/event/agtz-kolloquium-8/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260703T153000
DTEND;TZID=Europe/Berlin:20260703T170000
DTSTAMP:20260619T135737
CREATED:20260319T100517Z
LAST-MODIFIED:20260319T100517Z
UID:12881-1783092600-1783098000@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Yujie Xu (Columbia): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-36/
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:20260709T141500
DTEND;TZID=Europe/Berlin:20260709T151500
DTSTAMP:20260619T135737
CREATED:20260529T093132Z
LAST-MODIFIED:20260529T093132Z
UID:13475-1783606500-1783610100@crc326gaus.de
SUMMARY:AGTZ Kolloquium
DESCRIPTION:Konstantin Emming (Uni Bonn)
URL:https://crc326gaus.de/event/agtz-kolloquium-9/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260710T133000
DTEND;TZID=Europe/Berlin:20260710T143000
DTSTAMP:20260619T135737
CREATED:20260618T075048Z
LAST-MODIFIED:20260618T075048Z
UID:13617-1783690200-1783693800@crc326gaus.de
SUMMARY:p-adic singular moduli and higher Green’s functions
DESCRIPTION:Hazem Hassan (Heidelberg) \n\nHeegner cycles are the higher weight analogues to Heegner points. Those points and cycles play an important role in the theory of complex multiplication and of the arithmetic of elliptic curves of rank 1. Stark-Heegner points are conjectural points on elliptic curves which would be the real-quadratic counterparts to Heegner points in the emerging theory of real multiplication. In this theory\, Darmon-Vonk’s rigid meromorphic cocycles seem to be the real-quadratic analogue of singular moduli.\n\nI will present a generalization of rigid meromorphic cocycles to higher weight and use it to define a p-adic higher Green’s functions on real-quadratic points. This construction is motivated by the recently resolved conjecture by Gross and Zagier  on the algebraicity of values of complex higher Green’s functions. I will present a conjecture on the algebraicity of values of the p-adic Green’s functions that has been numerically verified. The values of the p-adic Green’s function are best envisioned as p-adic local intersection numbers of certain conjectured cycles associated to RM-points\, the so-called Stark-Heegner cycles.
URL:https://crc326gaus.de/event/p-adic-singular-moduli-and-higher-greens-functions/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260710T150000
DTEND;TZID=Europe/Berlin:20260710T170000
DTSTAMP:20260619T135737
CREATED:20260427T115635Z
LAST-MODIFIED:20260427T115641Z
UID:13244-1783695600-1783702800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Vukašin Mihajlović (Darmstadt): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-copy-3/
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:20260717T150000
DTEND;TZID=Europe/Berlin:20260717T170000
DTSTAMP:20260619T135737
CREATED:20260427T115730Z
LAST-MODIFIED:20260427T115730Z
UID:13247-1784300400-1784307600@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Yanik Kleibrink (Darmstadt): tba \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl)
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-40/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
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