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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230613T090000
DTEND;TZID=Europe/Berlin:20230613T100000
DTSTAMP:20260601T004935
CREATED:20230414T123441Z
LAST-MODIFIED:20230612T113540Z
UID:5399-1686646800-1686650400@crc326gaus.de
SUMMARY:Indefinite Theta Functions: something old\, something new
DESCRIPTION:International Seminar on Automorphic Forms \nSander Zwegers (University of Cologne) \nIn this talk we give an overview of the theory of indefinite theta functions and discuss some recent results. \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-43/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230613T140000
DTEND;TZID=Europe/Berlin:20230613T160000
DTSTAMP:20260601T004935
CREATED:20230508T082054Z
LAST-MODIFIED:20231114T151118Z
UID:5755-1686664800-1686672000@crc326gaus.de
SUMMARY:Sen Operators and Lie Algebras arising from Galois Representations over p-adic Varieties
DESCRIPTION:Seminar: Non-archimedean geometry \nTongmu He \nAbstract: Any finite-dimensional p-adic representation of the absolute Galois group of a p-adic local field with imperfect residue field is characterized by its arithmetic and geometric Sen operators defined by Sen and Brinon. We generalize their construction to the fundamental group of a p-adic affine variety with a semi-stable chart\, and prove that the module of Sen operators is canonically defined\, independently of the choice of the chart. When the representation comes from a Qp-representation of the fundamental group\, we relate the infinitesimal action of inertia subgroups with Sen operators\, which is a generalization of a result of Sen and Ohkubo. These Sen operators can be extended continuously to certain infinite-dimensional representations. As an application\, we prove that the geometric Sen operators annihilate locally analytic vectors\, generalizing a result of Pan.
URL:https://crc326gaus.de/event/tba-copy-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:20230616T133000
DTEND;TZID=Europe/Berlin:20230616T150000
DTSTAMP:20260601T004935
CREATED:20230606T115957Z
LAST-MODIFIED:20230606T115957Z
UID:5914-1686922200-1686927600@crc326gaus.de
SUMMARY:On the K-theory of Z/p^n
DESCRIPTION:Dr. Achim Krause (Universität Heidelberg) \nAbstract: Algebraic K-theory is an invariant of rings that is notoriously hard to compute\, especially in non-regular situations. For example\, Quillen computed the K-theory of finite fields already in 1972\, but the case of rings of the form Z/p^n for n>1 has been out of reach until now. In joint work with Antieau and Nikolaus\, we apply Prismatic Cohomology to this problem\, leading to both a practical algorithm to compute these groups\, as well as surprising results on their large-degree behaviour.
URL:https://crc326gaus.de/event/on-the-k-theory-of-z-pn/
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:20230620T140000
DTEND;TZID=Europe/Berlin:20230620T160000
DTSTAMP:20260601T004935
CREATED:20230508T083202Z
LAST-MODIFIED:20231114T151522Z
UID:5764-1687269600-1687276800@crc326gaus.de
SUMMARY:Hodge--Tate crystals and p-adic non-abelian Hodge theory
DESCRIPTION:Seminar: Non-archimedean geometry \nYu Min \nAbstract: The coefficient theory of prismatic cohomology has been investigated a lot recently. For example\, Morrow–Tsuji and Tian have discovered the relationship between Hodge–Tate crystals and Higgs bundles (at least in the local case). In this talk\, I will briefly talk about how to get a global correspondence between Hodge–Tate crystals and Higgs bundles after inverting p. Then I will discuss what we can say without inverting p in the geometric case (over Oc) (if time permits\, also in the arithmetic case (over W(k))). This is joint work with Yupeng Wang.
URL:https://crc326gaus.de/event/tba-59/
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:20230620T160000
DTEND;TZID=Europe/Berlin:20230620T170000
DTSTAMP:20260601T004935
CREATED:20230414T123558Z
LAST-MODIFIED:20230614T124617Z
UID:5401-1687276800-1687280400@crc326gaus.de
SUMMARY:Mixed mock modularity of special divisors
DESCRIPTION:International Seminar on Automorphic Forms \nSalim Tayou (Harvard University) \nKudla-Millson and Borcherds have proved some time ago that the generating series of special divisors in orthogonal Shimura varieties are modular forms. In this talk\, I will explain an extension of these results to toroidal compactifications where we prove that the generating series is a mixed mock modular form. More precisely\, we find an explicit completion using theta series associated to rays in the cone decomposition. The proof relies on intersection theory at the boundary of the Shimura variety. This recovers and refines recent results of Bruinier and Zemel. The result of this talk are joint work with Philip Engel and Francois Greer. \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-44/
LOCATION:Zoom
CATEGORIES:GAUS-Seminar
ORGANIZER;CN="Claire Burrin":MAILTO:claire.burrin@math.uzh.ch
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230622T141500
DTEND;TZID=Europe/Berlin:20230622T151500
DTSTAMP:20260601T004935
CREATED:20230531T074217Z
LAST-MODIFIED:20230531T074217Z
UID:5894-1687443300-1687446900@crc326gaus.de
SUMMARY:Centers of F-purity and their behavior under finite covers
DESCRIPTION:Javier Carvajal-Rojas (Leuven) \nAbstract: Let X be an F -split variety (roughly\, a strong form of ordinary log Calabi—Yau variety) and Y /X be a finite cover such that the F -splitting of X lifts to Y . How do the spectra of centers of F -purity (roughly\, arithmetically tame log-canonical centers) of Y and X relate to one another? This turns out to be a very tricky question due to wild ramification. An optimal answer would look like Cohen—Seidenberg-type theorems for spectra of centers of F-purity. In this talk\, I will report on work in progress with A. Fayolle (U. of Utah) where we address this question. \n 
URL:https://crc326gaus.de/event/centers-of-f-purity-and-their-behavior-under-finite-covers/
LOCATION:Mainz\, Hilbertraum (05-432)
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230623T133000
DTEND;TZID=Europe/Berlin:20230623T150000
DTSTAMP:20260601T004935
CREATED:20230613T110113Z
LAST-MODIFIED:20230613T110113Z
UID:5934-1687527000-1687532400@crc326gaus.de
SUMMARY:Tangent spaces in p-adic geometry
DESCRIPTION:Sean Howe (University of Utah) \nAbstract: In complex geometry\, it is an extremely useful fact that universal covers of complex manifolds have tangent spaces and that period maps arising from the cohomology of families of varieties are differentiable. In p-adic geometry\, unfortunately\, it is known that the covers of rigid analytic varieties trivializing local systems of etale cohomology do not admit a good theory of Kahler differentials. In this talk\, we explain how\, building from first principles and a single clever idea\, one can nonetheless assign tangent spaces to many of the perfectoid spaces and diamonds that arise naturally in the study of rigid analytic varieties and their cohomology and then differentiate period maps. These spaces provide\, in particular\, a natural conceptual framework for predicting when a diamond is a perfectoid space. In this talk we will focus mostly on examples in the theory of local Shimura varieties and explain the relation to work of Johannson\, Ludwig and Hansen on perfectoid quotients of Lubin-Tate space\, Ivanov and Weinstein on cohomological smoothness\, and Pan and Camargo on geometric Sen theory and sheaves of locally analytic functions. This is joint work with Peter Wear.
URL:https://crc326gaus.de/event/tangent-spaces-in-p-adic-geometry/
LOCATION:Heidelberg\, Mathematikon\, SR A and Livestream
CATEGORIES:GAUS-Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230627T140000
DTEND;TZID=Europe/Berlin:20230627T160000
DTSTAMP:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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:20260601T004935
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
END:VCALENDAR