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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240702T160000
DTEND;TZID=Europe/Berlin:20240702T170000
DTSTAMP:20260531T091929
CREATED:20240429T085741Z
LAST-MODIFIED:20240625T123706Z
UID:8329-1719936000-1719939600@crc326gaus.de
SUMMARY:Spectral decomposition and Siegel-Veech transforms: The case of marked tori
DESCRIPTION:International Seminar on Automorphic Forms \nMartin Möller (Goethe University Frankfurt) \nhttps://tu-darmstadt.zoom.us/j/68048280736 \nAbstract: Generalizing the well-known construction of Eisenstein series on the modular curves\, Siegel-Veech transforms provide a natural construction of square-integrable functions on strata of differentials on Riemannian surfaces. Even the case of marked tori\, a homogeneous space but not for a reductive group provides features that we highlight in this talk with an eye on the general case.
URL:https://crc326gaus.de/event/tba-107/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240703T160000
DTEND;TZID=Europe/Berlin:20240703T170000
DTSTAMP:20260531T091929
CREATED:20240326T142233Z
LAST-MODIFIED:20240623T130611Z
UID:7972-1720022400-1720026000@crc326gaus.de
SUMMARY:Higher rank Teichmüller spaces\, Higgs bundles and magical triples
DESCRIPTION:Oberseminar Algebra und Geometrie \nAndré Oliveira (Universidade do Porto) \nOne way to realize Teichmüller space of a closed oriented hyperbolic surface Σ is as the space of discrete and faithful representations π_1(Σ) -> PSL(2\,R). These constitute a connected component of the character variety of these representations. Higher rank Teichmüller space is a generalization for higher rank Lie groups. More precisely a higher rank Teichmüller space for a group G is a connected component of the G-character variety of representations π_1(Σ) -> G entirely consisting of discrete and faithful representations.\n\nThere are however two important differences comparing to the PSL(2\,R)-case. Firstly\, such spaces do not exist for any group G\, even though their existence has long been established whenever G is a split form (the Hitchin components) or Hermitian (maximal components). Secondly\, even if they exist for G\, not every discrete and faithful representation in G lies in a higher rank Teichmüller space. It was conjectured by Guichard—Labourie—Wienhard that the representations comprising such spaces are positive representations — a special class of discrete and faithful representations — which only exist when G admits a certain structure called positivity.\n\nNon-abelian Hodge theory yields corresponding connected components of the moduli space M(G) of G-Higgs bundles over an associated compact Riemann surface. We will introduce the notion of magical sl_2-triple and show that a group admits a positive structure if and only if it arises from such a magical triple. Then we we will use these magical triples and Higgs bundles to detect and parameterize components of M(G) which should be higher rank Teichmüller spaces (this was subsequently confirmed by Guichard—Labourie—Wienhard using our work). This is joint work with S. Bradlow\, B. Collier\, O. García-Prada and P. Gothen.\n 
URL:https://crc326gaus.de/event/tba-97/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240705T131000
DTEND;TZID=Europe/Berlin:20240705T144000
DTSTAMP:20260531T091929
CREATED:20240628T132726Z
LAST-MODIFIED:20240702T142359Z
UID:8886-1720185000-1720190400@crc326gaus.de
SUMMARY:Die absolute Galoisgruppe eines p-adischen Körpers
DESCRIPTION:Moshe Jarden (Universität Tel Aviv) \nWir rechnen die Anzahl der Erzeugenden und die Anzahl der Relationen aus\, die für die Darstellung der absoluten Galois Gruppen einer gegebenen endlichen Erweiterung von Q_p erforderlich ist.
URL:https://crc326gaus.de/event/to-be-announced/
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:20240705T140000
DTEND;TZID=Europe/Berlin:20240705T170000
DTSTAMP:20260531T091929
CREATED:20240405T092944Z
LAST-MODIFIED:20240620T121924Z
UID:8085-1720188000-1720198800@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Fabio Tanania (TU Darmstadt): Isotropic motivic fundamental groups \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-7/
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:20240709T170000
DTEND;TZID=Europe/Berlin:20240709T180000
DTSTAMP:20260531T091929
CREATED:20240702T121736Z
LAST-MODIFIED:20240709T102934Z
UID:8929-1720544400-1720548000@crc326gaus.de
SUMMARY:Fourier-Jacobi periods on unitary groups
DESCRIPTION:International Seminar on Automorphic Forms \nHang Xue (Arizona University): Fourier-Jacobi periods on unitary groups \nAbstract: We prove the Gan-Gross-Prasad conjecture for Fourier-Jacobi periods on unitary groups via relative trace formulae. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \n 
URL:https://crc326gaus.de/event/tba-110/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240711T140000
DTEND;TZID=Europe/Berlin:20240711T160000
DTSTAMP:20260531T091929
CREATED:20240704T070018Z
LAST-MODIFIED:20240704T070131Z
UID:8938-1720706400-1720713600@crc326gaus.de
SUMMARY:On DGAs with polynomial homology
DESCRIPTION:Julius Frank (Bielefeld) \nAbstract: It is surprisingly hard to find non-trivial examples of DGAs whose homology is polynomial in one generator. I will discuss one such example\, which is a derived quotient of a discrete ring by an odd prime. I will also give one reason why it is hard to find examples: If the homology of a DGA A is polynomial over a perfect F_p-algebra and the underlying ring spectrum of A refines to an E_3-ring spectrum\, then A must already be trivial in a certain sense.
URL:https://crc326gaus.de/event/on-dgas-with-polynomial-homology/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240712T133000
DTEND;TZID=Europe/Berlin:20240712T150000
DTSTAMP:20260531T091929
CREATED:20240705T091804Z
LAST-MODIFIED:20240705T091804Z
UID:8945-1720791000-1720796400@crc326gaus.de
SUMMARY:On a characterisation of perfectoid fields by Iwasawa theory
DESCRIPTION:Gautier Ponsinet (IHES\, Université Paris Saclay) \nWith a p-adic representation of the Galois group of a p-adic field are associated the Bloch-Kato groups defined via p-adic Hodge theory.\nIwasawa theory motivates the study of these Bloch-Kato groups over infinite algebraic extensions of the field of p-adic numbers. \nOver perfectoid fields\, several results (by Coates-Greenberg\, Perrin-Riou\, Berger\, P. …) state that the Bloch-Kato groups admit a simple description. \nIn this talk\, we will present a reciprocal statement: the structure of the Bloch-Kato groups associated with certain crystalline representations characterises the algebraic extensions of the field of p-adic numbers whose completion are perfectoid fields. In particular\, we will recover\, via a different method\, results by Coates and Greenberg for abelian varieties\, and by Bondarko for p-divisible groups. \n 
URL:https://crc326gaus.de/event/on-a-characterisation-of-perfectoid-fields-by-iwasawa-theory/
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:20240716T160000
DTEND;TZID=Europe/Berlin:20240716T170000
DTSTAMP:20260531T091929
CREATED:20240702T121840Z
LAST-MODIFIED:20240709T102846Z
UID:8931-1721145600-1721149200@crc326gaus.de
SUMMARY:Theta correspondence via C*-algebras
DESCRIPTION:International Seminar on Automorphic Forms \nHaluk Sengun (University of Sheffield):Theta correspondence via C*-algebras \nAbstract: The local theta correspondence sets up a bijection between certain subsets of admissible duals of suitable pairs of reductive groups. There are two special cases in which the correspondence is known to enjoy extra features\, the ‘equal rank’ case where temperedness is preserved and the ‘stable range’ case where unitarity is preserved. In joint work with Bram Mesland (Leiden)\, we show that in these special cases\, the local theta correspondence is actually given by a Morita equivalence of suitable\nC*-algebras. I will try to expose this result and\, time permitting\, some applications. \nhttps://tu-darmstadt.zoom.us/j/68048280736 \n 
URL:https://crc326gaus.de/event/tba-copy-4/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240718T141500
DTEND;TZID=Europe/Berlin:20240718T151500
DTSTAMP:20260531T091929
CREATED:20240710T070747Z
LAST-MODIFIED:20240710T070747Z
UID:8980-1721312100-1721315700@crc326gaus.de
SUMMARY:Certain families of K3 surfaces and their modularity
DESCRIPTION:Yui\, Noriko (Queen’s University) \nAbstract: We start with a double sextic family of K3 surfaces with four parameters with Picard number 16 defined over Q. Then by geometric reduction (top-to-bottom) processes\, we obtain three\, two and one parameter families of K3 surfaces of Picard number 17\, 18\, and 19 respectively. All these families turn out to be of hypergeometric type in the sense that their Picard–Fuch differential equations are given by hypergeometric or Heun functions. We will study the geometry of two parameter families in detail. \nWe will then prove\, after suitable specializations of parameters\, these K3 surfaces will have CM (complex multiplication)\, and will become modular\, i.e.\, the Galois representations of dimensions less than or equal to 6 associated to the transcendental lattices are all induced from 1-dimensional representations. Thus\, these K3 surfaces will be determined by modular forms of various weights. This is done starting with one-parameter family and then applying arithmetic induction (bottom-to-top) processes. \nOur final goal is to determine explicit modular forms that determine the L-functions of these K3 families\nat special fibers. \nThis is a joint work with A. Clingher\, S. Kim and A. Malmendier.
URL:https://crc326gaus.de/event/certain-families-of-k3-surfaces-and-their-modularity/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240719T153000
DTEND;TZID=Europe/Berlin:20240719T170000
DTSTAMP:20260531T091929
CREATED:20240701T093526Z
LAST-MODIFIED:20240718T143756Z
UID:8909-1721403000-1721408400@crc326gaus.de
SUMMARY:Seminar on Arithmetic Geometry
DESCRIPTION:Konstantin Jakob (TU Darmstadt): Counting absolutely indecomposable G-bundles \nZoom (635 7328 0984\, Kenncode: kleinste sechsstellige Primzahl
URL:https://crc326gaus.de/event/seminar-on-arithmetic-geometry-copy/
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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