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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230627T140000
DTEND;TZID=Europe/Berlin:20230627T160000
DTSTAMP:20260531T224138
CREATED:20231114T152133Z
LAST-MODIFIED:20231114T152133Z
UID:6966-1687874400-1687881600@crc326gaus.de
SUMMARY:Geometric arcs and fundamental groups of rigid spaces
DESCRIPTION:Seminar: Non-archimedean geometry \nMarcin Lara \nAbstract: We introduce a new category of covering spaces in rigid geometry\, called geometric coverings\, and show it is classified by a certain topological fundamental group. Geometric coverings generalize the class of étale coverings\, introduced by de Jong\, and its various natural modifications\, and have certain desirable properties that were missing from those older notions: they are étale local and closed under taking infinite disjoint unions. The definition is based on the property of unique lifting of “geometric arcs.” On the way\, we answer some questions from the foundational paper of de Jong. This is joint work with Piotr Achinger and Alex Youcis.
URL:https://crc326gaus.de/event/geometric-arcs-and-fundamental-groups-of-rigid-spaces/
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:20230627T160000
DTEND;TZID=Europe/Berlin:20230627T170000
DTSTAMP:20260531T224138
CREATED:20230414T123723Z
LAST-MODIFIED:20230627T101601Z
UID:5403-1687881600-1687885200@crc326gaus.de
SUMMARY:Root Number Correlation Bias of Fourier Coefficients of Modular Forms
DESCRIPTION:International Seminar on Automorphic Forms \nNina Zubrilina (Princeton University) \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-45/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230628T140000
DTEND;TZID=Europe/Berlin:20230628T160000
DTSTAMP:20260531T224138
CREATED:20230606T080613Z
LAST-MODIFIED:20230627T145732Z
UID:5907-1687960800-1687968000@crc326gaus.de
SUMMARY:Pell-Abel equations
DESCRIPTION:Quentin Gendron (Universidad Nacional Autónoma de México)
URL:https://crc326gaus.de/event/pell-abel-equations-quentin-gendron/
LOCATION:Frankfurt\, Robert-Mayer-Str.10\, Raum 404
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230630T133000
DTEND;TZID=Europe/Berlin:20230630T150000
DTSTAMP:20260531T224138
CREATED:20230621T081700Z
LAST-MODIFIED:20230621T081700Z
UID:5960-1688131800-1688137200@crc326gaus.de
SUMMARY:Motivic monodromy and p-adic cohomology theories
DESCRIPTION:Martin Gallauer (University of Warwick) \nLimit structures in cohomology provide an indispensable tool in the study of varieties in families. This was brought to perfection in complex geometry and attempts have been made to transport it to arithmetic settings. In this talk I will introduce an approach to placing limit structures in all settings on an equal footing. It allows for a sharpening of this tool in p-adic cohomology. (Joint work with Federico Binda and Alberto Vezzani.)
URL:https://crc326gaus.de/event/motivic-monodromy-and-p-adic-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:20230704T140000
DTEND;TZID=Europe/Berlin:20230704T160000
DTSTAMP:20260531T224138
CREATED:20231114T152651Z
LAST-MODIFIED:20231114T153537Z
UID:6968-1688479200-1688486400@crc326gaus.de
SUMMARY:Local Weight-Monodromy Conjecture
DESCRIPTION:Seminar: Non-archimedean geometry \nBogdan Zavyalov \nAbstract: Let X be a smooth and proper variety over a local field K. Then the weight-monodromy conjecture predicts that the monodromy and weight filtrations coincide up to a shift. Recently\, P. Scholze proved this conjecture for set-theoretic complete intersections inside the projective space using the theory of perfectoid spaces. Alternatively\, one can formulate a (local) version of the weight-monodromy conjecture for the nearby cycles. We will give a precise formulation of this conjecture and prove it in some cases following the strategy of Scholze in the global case. This is joint work with David Hansen.
URL:https://crc326gaus.de/event/local-weight-monodromy-conjecture-2/
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:20230704T160000
DTEND;TZID=Europe/Berlin:20230704T170000
DTSTAMP:20260531T224138
CREATED:20230414T123849Z
LAST-MODIFIED:20230628T070044Z
UID:5405-1688486400-1688490000@crc326gaus.de
SUMMARY:A general view on multiple zeta values\, modular forms and related q-series
DESCRIPTION:International Seminar on Automorphic Forms \nAnnika Burmester (Bielefeld University) \nMultiple zeta values and modular forms have a deep\, partly mysterious\, connection. This can be seen in the Broadhurst-Kreimer conjecture\, which was made partly explicit by Gangl-Kaneko-Zagier in 2006. Further\, multiple zeta values occur in the Fourier expansion of multiple Eisenstein series as computed by Bachmann. We will study this connection in more details on a formal level. This means\, we review formal multiple zeta values and then introduce the algebra G^f\, which should be seen as a formal version of multiple Eisenstein series\, and also multiple q-zeta values and polynomial functions on partitions simultaneously. We will give a surjective algebra morphism from G^f into the algebra of formal multiple zeta values. \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-46/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230705T160000
DTEND;TZID=Europe/Berlin:20230705T170000
DTSTAMP:20260531T224138
CREATED:20230418T140422Z
LAST-MODIFIED:20230628T080246Z
UID:5474-1688572800-1688576400@crc326gaus.de
SUMMARY:Algebraicity of critical Hecke L-values
DESCRIPTION:Oberseminar Algebra und Geometrie \nJohannes Sprang (Universität Duisburg-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.
URL:https://crc326gaus.de/event/tba-52/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230706T093000
DTEND;TZID=Europe/Berlin:20230706T110000
DTSTAMP:20260531T224138
CREATED:20230613T094923Z
LAST-MODIFIED:20231120T130317Z
UID:5924-1688635800-1688641200@crc326gaus.de
SUMMARY:Six functor formalism and Poincaré duality
DESCRIPTION:Gastvortrag: Bogdan Zavyalov
URL:https://crc326gaus.de/event/six-functor-formalism-and-poincare-duality-10/
LOCATION:Heidelberg\, Mathematikon\, SR 8 und Zoom\, Germany
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Marius Leonhardt":MAILTO:mleonhardt@mathi.uni-heidelberg.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230707T133000
DTEND;TZID=Europe/Berlin:20230707T150000
DTSTAMP:20260531T224138
CREATED:20230621T081937Z
LAST-MODIFIED:20230621T081937Z
UID:5962-1688736600-1688742000@crc326gaus.de
SUMMARY:Equivariant birational geometry
DESCRIPTION:Yuri Tschinkel (New York University) \nI will discuss new invariants in equivariant birational geometry\, introduced and studied in joint work with Kontsevich\, Pestun\, Kresch\, and Hassett.
URL:https://crc326gaus.de/event/equivariant-birational-geometry/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230707T140000
DTEND;TZID=Europe/Berlin:20230707T150000
DTSTAMP:20260531T224138
CREATED:20231018T134400Z
LAST-MODIFIED:20231207T095121Z
UID:6731-1688738400-1688742000@crc326gaus.de
SUMMARY:Hybrid curves and their moduli spaces
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Summer Semester 2023) \nNoema Nicolussi (University of Potsdam) \nCancelled \n 
URL:https://crc326gaus.de/event/hybrid-curves-and-their-moduli-spaces/
LOCATION:Frankfurt\, RM-Str. 6-8\, Hilbertraum 302 and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230707T153000
DTEND;TZID=Europe/Berlin:20230707T163000
DTSTAMP:20260531T224138
CREATED:20230629T092927Z
LAST-MODIFIED:20231018T134631Z
UID:6047-1688743800-1688747400@crc326gaus.de
SUMMARY:From amoebas to arithmetics
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Summer Semester 2023) \nRoberto Gualdi (Regensburg) \nAbstract: \nMotivated by the computation of the integral of a piecewise linear func- tion on the amoeba of the line (x1 + x2 + 1 = 0)\, we will show how tropical objects play a role in arithmetics. \nThis will bring us to an excursion into the Arakelov geometry of toric varieties; in this framework\, we will use our tropical computation to predict the arithmetic complexity of the intersection of a projective planar line with its translate by a torsion point. This is a joint work with Martín Sombra. \n 
URL:https://crc326gaus.de/event/from-amoebas-to-arithmetics/
LOCATION:Frankfurt\, RM-Str. 6-8\, Hilbertraum 302 and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230707T164500
DTEND;TZID=Europe/Berlin:20230707T174500
DTSTAMP:20260531T224138
CREATED:20230629T093708Z
LAST-MODIFIED:20231018T134740Z
UID:6051-1688748300-1688751900@crc326gaus.de
SUMMARY:A tropical Monge-Ampere equation and the SYZ conjecture
DESCRIPTION:TGiF-Seminar: Tropical geometry in Frankfurt (Second meeting Summer Semester 2023) \nMattias Jonsson (University of Michigan) \nAbstract: \nA celebrated result of Yau says that every compact Kähler manifold with trivial canonical bundle admits a Ricci flat metric in any given Kähler class. The proof amounts to solving a complex Monge-Ampère equation. I will discuss joint work with Hultgren\, Mazzon\, and McCleerey\, where we solve a “tropical” Monge–Ampère equation\, on the boundary of simplex. Through recent work of Yang Li\, this has applications to the SYZ conjecture\, on degenerations of Calabi-Yau manifolds. \n 
URL:https://crc326gaus.de/event/a-tropical-monge-ampere-equation-and-the-syz-conjecture/
LOCATION:Frankfurt\, RM-Str. 6-8\, Hilbertraum 302 and Zoom
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230711T160000
DTEND;TZID=Europe/Berlin:20230711T170000
DTSTAMP:20260531T224138
CREATED:20230414T124006Z
LAST-MODIFIED:20230630T093251Z
UID:5407-1689091200-1689094800@crc326gaus.de
SUMMARY:Counting non-tempered automorphic forms using endoscopy
DESCRIPTION:International Seminar on Automorphic Forms \nAbstract: \nHow many automorphic representations of level n have a specified local factor at the infinite places? When this local factor is a discrete series representation\, this question is asymptotically well-undersertood as n grows. Non-tempered local factors\, on the other hand\, violate the Ramanujan conjecture and should be very rare. We use the endoscopic classification for representations to quantify this rarity in the case of cohomological representations of unitary groups\, and discuss some applications to the growth of cohomology of Shimura varieties. \nMathilde Gerbelli-Gauthier (McGill University) \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-47/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230714T133000
DTEND;TZID=Europe/Berlin:20230714T150000
DTSTAMP:20260531T224138
CREATED:20230621T082430Z
LAST-MODIFIED:20230621T082430Z
UID:5964-1689341400-1689346800@crc326gaus.de
SUMMARY:Ordinary and Non-ordinary Iwasawa theory for unitary groups
DESCRIPTION:Muhammad Manji (University of Warwick) \nThe Iwasawa main conjecture was stated by Iwasawa in the 1960s\, linking the Riemann Zeta function to certain ideals coming from class field theory\, and proved in 1984 by Mazur and Wiles. This work was generalised to the setting of modular forms\, predicting that analytic and algebraic constructions of the p-adic L-function of a modular form agree. This was proved by Kato (’04) and Skinner–Urban (’06) for ordinary modular forms. For the non-ordinary case there are some modern approaches which use p-adic Hodge theory and rigid geometry to formulate and prove cases of the conjecture. I will review these cases and discuss my work in the setting of automorphic representations of unitary groups\, where a new approach uses the L-analytic regulator map of Schneider—Venjakob. My aim is to state a version of the conjecture which was previously unknown\, and discuss what is still needed to prove the conjecture in full. \n 
URL:https://crc326gaus.de/event/ordinary-and-non-ordinary-iwasawa-theory-for-unitary-groups/
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:20230721T133000
DTEND;TZID=Europe/Berlin:20230721T150000
DTSTAMP:20260531T224138
CREATED:20230712T111704Z
LAST-MODIFIED:20230712T111704Z
UID:6099-1689946200-1689951600@crc326gaus.de
SUMMARY:Prismatic Windows with Additional Structures
DESCRIPTION:Mohammad Hadi Hedayatzadeh (Institute for Research in Fundamental Sciences\, Tehran) \nIn this talk\, I will present a joint work with O. Bültel and my student A. Partofard on prismatic windows with additional structures. I will start with a brief overview of the theory of displays\, developed by Th. Zink\, which is a generalization of Dieudonné theory. Displays play a crucial role in the study of Barsotti-Tate groups when the base is not a perfect field of positive characteristic. Zink has further developed the theory and introduced windows over frames. In another direction\, in order to construct integral models of Shimura varieties that are not of Abelian type\, O. Bültel defined and studied displays with additional structures\, called (G\,μ)-displays. In this joint work\, we combine these two inventions to define and study (G\,μ)-windows and show that under some mild conditions\, the category of (G\,μ)-windows is equivalent to that of (G\,μ)-displays. Finally\, in a joint project with Partofard\, we develop the theory of prismatic windows\, which is better adapted to the setting of pefectoid geometry and is closely related to the stack of G-torsors over the Fargues-Fontaine curve. \n 
URL:https://crc326gaus.de/event/prismatic-windows-with-additional-structures/
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:20230728T133000
DTEND;TZID=Europe/Berlin:20230728T150000
DTSTAMP:20260531T224138
CREATED:20230716T144318Z
LAST-MODIFIED:20230716T144318Z
UID:6108-1690551000-1690556400@crc326gaus.de
SUMMARY:A gentle introduction to derived blow-ups
DESCRIPTION:Jeroen Hekking (Universität Regensburg) \nDerived blow-ups of classical schemes in quasi-smooth centers were first introduced by Kerz\, Strunk and Tamme to solve Weibel’s conjecture on the vanishing of negative algebraic K-theory groups. This was generalized to quasi-smooth closed immersions of derived Artin stacks by Khan and Rydh\, which has found applications in virtual intersection theory. In joint work with Khan–Rydh\, this is further generalized to allow derived blow-ups in arbitrary centers. These were used in joint work with Rydh–Savvas to give a derived reduction of stabilizers algorithm. \nThe goal of this talk is to give an overview of some of the key ideas of this story which is accessible to geometers in general. We will pay particular attention to why derived algebraic geometry is useful\, even if one is ultimately only interested in classical geometry.
URL:https://crc326gaus.de/event/a-gentle-introduction-to-derived-blow-ups/
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:20230818T143000
DTEND;TZID=Europe/Berlin:20230818T153000
DTSTAMP:20260531T224138
CREATED:20230817T062239Z
LAST-MODIFIED:20230817T062239Z
UID:6183-1692369000-1692372600@crc326gaus.de
SUMMARY:Real analogue of the arithmetic K-theory
DESCRIPTION:Bo Liu (East China Normal University) \nDifferential K-theory is a new research field in the 21st century which is motivated by the study of superstring theory in theoretical physics. It is the differential extension of the topological K-theory and can be regarded as the real analogue of the arithmetic\nK-theory in Arakelov geometry\, which is the arithmetic extension of the K-theory introduced by Grothendieck. In this talk\, we will discuss the properties of differential K-theory by comparing them with corresponding properties of arithmetic K-theory and use them to derive some new geometric results. In particular\, we will obtain the localization\nformulas for eta invariants and eta forms from the localizations in differential K-theory. \nhttps://tu-darmstadt.zoom-x.de/j/67833963376?pwd=eHVYZDZaRFBUdFZMZjM5K1RnYXRSQT09 \nMeeting ID: 678 3396 3376\nPasscode: 222561
URL:https://crc326gaus.de/event/real-analogue-of-the-arithmetic-k-theory/
LOCATION:Darmstadt\, Room 401 and Zoom\, Schlossgartenstraße 7\, Darmstadt\, 64289\, Germany
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231004T160000
DTEND;TZID=Europe/Berlin:20231004T170000
DTSTAMP:20260531T224138
CREATED:20230705T082631Z
LAST-MODIFIED:20231211T122037Z
UID:6081-1696435200-1696438800@crc326gaus.de
SUMMARY:Spherical Tropicalization and Berkovich Analytic Groups
DESCRIPTION:Oberseminar Algebra und Geometrie \nDesmond Coles (Univ. of Texas\, Austin) \nAbstract: Tropicalization is the process by which algebraic varieties are assigned a “combinatorial shadow”. I will review the notion of tropicalization of a toric variety and recent work on extending this to spherical varieties. I will then present how one can construct a deformation retraction from the Berkovich analytification of a spherical variety to its tropicalization.
URL:https://crc326gaus.de/event/tba-49/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231020T133000
DTEND;TZID=Europe/Berlin:20231020T150000
DTSTAMP:20260531T224138
CREATED:20231006T142742Z
LAST-MODIFIED:20231006T142742Z
UID:6347-1697808600-1697814000@crc326gaus.de
SUMMARY:Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
DESCRIPTION:Prof. Dr. Chun Yin Hui (University of Hongkong ) \nGiven a compatible system {rho_lambda : Gal_K to GL_n(E_lambda)}_lambda of semisimple lambda-adic representations of a number field K satisfying mild local conditions\, we prove that for almost all lambda any type A irreducible subrepresentation of rho_lambda otimes overline Q_ell  is residually irreducible.\nWe apply this result and some potential automorphy theorem to\nprove that rho_ lambda otimes overline Q_ell is residually irreducible for\nalmost all lambda if the compatible system is attached to a regular algebraic\, polarized\, cuspidal automorphic representation of GL_n(A_Q) and n leq 6. \n 
URL:https://crc326gaus.de/event/monodromy-of-subrepresentations-and-irreducibility-of-low-degree-automorphic-galois-representations/
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:20231020T153000
DTEND;TZID=Europe/Berlin:20231020T170000
DTSTAMP:20260531T224138
CREATED:20231009T122541Z
LAST-MODIFIED:20231013T122119Z
UID:6424-1697815800-1697821200@crc326gaus.de
SUMMARY:On a C_2-equivariant Gabber lemma
DESCRIPTION:Seminar on Arithmetic Geometry \nTom Bachmann (University of Mainz) \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-73/
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:20231024T160000
DTEND;TZID=Europe/Berlin:20231024T170000
DTSTAMP:20260531T224138
CREATED:20231009T101116Z
LAST-MODIFIED:20231219T123018Z
UID:6398-1698163200-1698166800@crc326gaus.de
SUMMARY:Siegel modular forms and higher algebraic cycles
DESCRIPTION:International Seminar on Automorphic Forms \nAleksander Horawa (University of Oxford) \nAbstract: In recent work with Kartik Prasanna\, we propose an explicit relationship between the cohomology of vector bundles on Siegel modular threefolds and higher Chow groups (aka motivic cohomology groups). For Yoshida lifts of Hilbert modular forms\, we use a result of Ramakrishnan to prove our conjecture. For Yoshida lifts of Bianchi modular forms\, we show that our conjecture implies the conjecture of Prasanna—Venkatesh. \nhttps://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/siegel-modular-forms-and-higher-algebraic-cycles/
LOCATION:Online
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231025T160000
DTEND;TZID=Europe/Berlin:20231025T170000
DTSTAMP:20260531T224138
CREATED:20230626T061112Z
LAST-MODIFIED:20231123T135106Z
UID:5977-1698249600-1698253200@crc326gaus.de
SUMMARY:Various implications of the Nagao-Mestre sum
DESCRIPTION:Oberseminar Algebra und Geometrie \nSeoyoung Kim (Universität Göttingen) \nIn 1965\, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank $r$ of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges\, then the limit equals $-r+1/2$\, and study the connections to the Riemann hypothesis for E. We also relate this to Nagao’s conjecture. Furthermore\, we discuss a generalization of the above results for the Selberg classes and hence (conjecturally) for larger classes of  $L$-functions.
URL:https://crc326gaus.de/event/oberseminar-algebra-und-geometrie/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231026T141500
DTEND;TZID=Europe/Berlin:20231026T151500
DTSTAMP:20260531T224138
CREATED:20230928T084916Z
LAST-MODIFIED:20231019T121430Z
UID:6277-1698329700-1698333300@crc326gaus.de
SUMMARY:Motivic cohomology of mixed characteristic schemes
DESCRIPTION:Tess Bouis (Université Paris-Saclay) \nAbstract:\nI will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular\, it is non-A1-invariant in general\, but it recovers classical motivic cohomology on smooth schemes over a Dedekind domain after A1-localisation. The construction relies on the syntomic cohomology of Bhatt-Morrow-Scholze and the cdh-local motivic cohomology of Bachmann-Elmanto-Morrow\, and generalises the construction of Elmanto-Morrow in the case of schemes over a field. \nZoom: \nMeeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-51/
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:20231027T153000
DTEND;TZID=Europe/Berlin:20231027T170000
DTSTAMP:20260531T224138
CREATED:20231009T123010Z
LAST-MODIFIED:20231017T080114Z
UID:6427-1698420600-1698426000@crc326gaus.de
SUMMARY:Equivariant localization theorems
DESCRIPTION:Seminar on Arithmetic Geometry \nCharanya Ravi (Indian Statistical Institute\, Bangalore Centre) \nThe classical Atiyah-Bott localization theorem in equivariant singular cohomology is one of the primary computational tools in enumerative geometry when the relevant parameter space has a natural torus action. The theorem asserts that the equivariant cohomology of a space with group action can be recovered\, up to inversion of some elements\, from the equivariant cohomology of the fixed point subspace. To understand various moduli problems\, there is a need to access general parameter spaces (singular and stacky) and to produce refined counts (in different cohomology theories). \nThis talk will first discuss a unified Atiyah-Bott localization theorem for equivariant Borel-Moore homology theories of algebraic stacks. We will then discuss a categorified version of the result which allows us to deduce the theorem for all oriented theories (cohomology and Borel-Moore homology). The talk is based on joint works with Dhyan Aranha\, Adeel Khan\, Alyosha Latyntsev\, and Hyeonjun Park. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-74/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Sabrina Pauli":MAILTO:pauli@mathematik.tu-darmstadt.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231031T160000
DTEND;TZID=Europe/Berlin:20231031T170000
DTSTAMP:20260531T224138
CREATED:20231009T103943Z
LAST-MODIFIED:20231026T064356Z
UID:6401-1698768000-1698771600@crc326gaus.de
SUMMARY:Arithmeticity of modular forms on G_2
DESCRIPTION:International Seminar on Automorphic Forms \nAaron Pollack (University of California San Diego) \nHolomorphic modular forms on Hermitian tube domains have a good notion of Fourier expansion and Fourier coefficients. These Fourier coefficients give the holomorphic modular forms an arithmetic structure: there is a basis of the space of holomorphic modular forms for which all Fourier coefficients of all elements of the basis are algebraic numbers. The group G_2 does not have an associated Shimura variety\, but nevertheless there is a class of automorphic functions on G_2 which possess a semi-classical Fourier expansion\, called the quaternionic modular forms. I will explain the proof that (in even weight at least 6) the cuspidal quaternionic modular forms possess an arithmetic structure\, defined in terms of Fourier coefficients. \nhttps://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-62/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231103T133000
DTEND;TZID=Europe/Berlin:20231103T150000
DTSTAMP:20260531T224138
CREATED:20231025T124448Z
LAST-MODIFIED:20231025T124448Z
UID:6803-1699018200-1699023600@crc326gaus.de
SUMMARY:Automorphy Lifting with Ĝ-adequate image
DESCRIPTION:Dmitri Whitmore (University of Cambridge) \nLet F be a number field and G a (split) reductive group. The Langlands program attempts to relate\n(1) automorphic representations of G\n(2) representations of the absolute Galois group of F valued in Ĝ\, the dual group of G.\nAutomorphy lifting theorems are a way to go from (2) to (1). Such theorems are proved using the Taylor–Wiles method but require certain ‘big image’ hypotheses. \nWe discuss a generalization of the Taylor–Wiles method. Our generalization results in a weakened big image condition (Ĝ-adequate image)\, which turns out to hold under certain irreducibility hypotheses. We conclude with applications to modularity of some elliptic curves over quadratic extensions of totally real fields\, building on work of Boxer–Calegari–Gee–Pilloni.
URL:https://crc326gaus.de/event/automorphy-lifting-with-g-adequate-image/
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:20231103T153000
DTEND;TZID=Europe/Berlin:20231103T170000
DTSTAMP:20260531T224138
CREATED:20231009T123208Z
LAST-MODIFIED:20231026T093620Z
UID:6429-1699025400-1699030800@crc326gaus.de
SUMMARY:Non-archimedean integration on quotients and BPS-invariants
DESCRIPTION:Seminar on Arithmetic Geometry \nDimitri Wyss (École Polytechnique Fédérale de Lausanne) \nIn previous work with F. Carocci and G. Orecchia we discovered that BPS-invariants appearing in Donaldson-Thomas theory for moduli of sheaves on del Pezzo surfaces admit a natural interpretation as non-archimedean integrals. Motivated by this\, we develop a non-archimedean integration theory for smooth Artin stacks and obtain as application a new expression of these BPS invariants. In particular this gives a new proof of Maulik-Shen’s $\chi$-independence result for del Pezzo surfaces. This is joint work in progress with Michael Groechenig and Paul Ziegler. \nZoom (635 7328 0984\, Password: smallest six digit prime).
URL:https://crc326gaus.de/event/tba-75/
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:20231106T173000
DTEND;TZID=Europe/Berlin:20231106T190000
DTSTAMP:20260531T224138
CREATED:20231106T120226Z
LAST-MODIFIED:20231106T120240Z
UID:6909-1699291800-1699297200@crc326gaus.de
SUMMARY:Around Deligne's companion conjecture
DESCRIPTION:Zhou Yuenian ((Université Paris Saclay)
URL:https://crc326gaus.de/event/around-delignes-companion-vonjecture/
LOCATION:Darmstadt
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231108T164500
DTEND;TZID=Europe/Berlin:20231108T180000
DTSTAMP:20260531T224138
CREATED:20231115T130147Z
LAST-MODIFIED:20231212T123220Z
UID:7004-1699461900-1699466400@crc326gaus.de
SUMMARY:Linear Relations of 1-Periods
DESCRIPTION:Frankfurter Seminar – Kolloquium des Instituts für Mathematik \nAnnette Huber-Klawitter (Universität Freiburg) \nAbstract: 1-Periods are complex numbers obtained by integrating an algebraic $1$-form defined over $\mathbf{Q}$ (e.g. $dx/x$) over a chain with algebraic end points. The set contains many interesting numbers (e.g.\, the values of $\log$ in algebraic numbers). Their transcendence and the relations between them are a classical question of transcendence theory. \nWe now have complete picture\, explaining the relations qualitatively in terms of obvious relations and also quantitatively\, by which we mean dimension formulas. \nIn the talk we are going to explain some of these general results and then discuss the application to the values of the hypergeometric function–recovering results of Wolfart. (joint work with G. Wüstholz)
URL:https://crc326gaus.de/event/linear-relations-of-1-periods/
LOCATION:Frankfurt\, Robert-Mayer-Str. 10\, Raum 711 groß
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231109T141500
DTEND;TZID=Europe/Berlin:20231109T151500
DTSTAMP:20260531T224138
CREATED:20230928T085309Z
LAST-MODIFIED:20231031T080227Z
UID:6279-1699539300-1699542900@crc326gaus.de
SUMMARY:Hodge Witt cohomology with modulus and duality
DESCRIPTION:Kay Rülling (Universität Wuppertal) \nAbstract: The theory of cube invariant modulus sheaves developed by Kahn-Miyazaki-Saito-Yamazaki allows to define for any sheaf with transfers and any smooth k-scheme X with effective Cartier divisor D a sheaf whose sections over X can be interpreted as regular sections on the complement of D with pole order at infinity bounded by D. This construction is functorial and has a certain universal property\, which makes it hard to compute explicitly. We apply it to the de Rham-Witt sheaves in positive characteristic p and show that in case the support of D has simple normal crossings these sheaves correspond under Grothendieck duality to de Rham Witt sheaves with zeros along D. From this we deduce refined versions of Ekedahl duality\, Poincaré duality for crystalline cohomology\, and Milne duality for motivic cohomology with p-primary torsion coefficients. This is joint work with Fei Ren. \nZoom Meeting-ID: 967 5163 9626 \nPasscode: last name of famous mathematician born in Königsberg (small letters)
URL:https://crc326gaus.de/event/tba-61/
LOCATION:Mainz\, Hilbertraum 05-432
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Georg Tamme":MAILTO:georg.tamme@uni-mainz.de
END:VEVENT
END:VCALENDAR