CRC 326 - GAUS

Categorical Deligne–Langlands correspondence
2025-07-08 14:00 - 15:30 (Europe/Berlin) | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Torsten Wedhorn: Talk 12 – Proof of the main conjecture for GL2
Zoom (612 2072 7363, Password: [REDACTED] six digit prime number)

Berkovich motives
2025-07-10 11:00 - 12:30
Talk 10: Dmot(C) (Alberto Merici)

Locally analytic vector bundles on the Fargues-Fontaine-Curve
2025-07-10 11:15 - 13:15 | Heidelberg, Mathematikon, SR 8 and Zoom, INF 205, Heidelberg, Germany
Locally analytic vector bundles and p-adic differential equations
Ruth Wild (Frankfurt)

Berkovich motives
2025-07-10 14:00 - 15:30
Talk 11: Dmot(k) (Can Yaylali)

D-elliptic sheaves and the Hasse principle
2025-07-11 09:00 - 11:00 | Heidelberg, Mathematikon, SR 8 and Zoom, INF 205, Heidelberg, Germany
The canonical isogeny character
speaker: Gebhard Böckle, Heidelberg

The kernel of the adjoint exponential in Anderson $t$-modules
2025-07-11 13:30 - 14:30 | Heidelberg, Mathematikon, SR A and Livestream
The kernel of the adjoint exponential in Anderson $t$-modules
Giacomo H. Ferraro (Universität Heidelberg)

Given an algebraically closed complete valued field $K$ over $mathbb{F}_q$, an Anderson $t$-module of dimension $d$ is given by the topological $mathbb{F}_q$-vector space $K^d$, endowed with an $mathbb{F}_q$-linear action $phi_t=sum_{igeq0}T_itau^iin M_{dtimes d}(K)[tau]$, where $tau:K^dto K^d$ sends $(v_1,dots,v_d)$ to $(v_1^q,dots,v_d^q)$.
In analogy with complex abelian varieties, there is an analytic map $exp=sum_{igeq0}E_itau^i: K^dto K^d$—which is not necessarily surjective—such that $phi_texp=exp T_0$.
The adjoint exponential, defined as the series $exp^*:=sum_{igeq0}tau^{-i}E_i^T$, determines a (non-analytic) continuous map $K^dto K^d$. Using the factorization properties of $K[![x]!]$, Poonen proved that there is a perfect duality of topological $mathbb{F}_q$-vector spaces $ker(exp)timesker(exp^*)tomathbb{F}_q$ under the condition $d=1$.
In this talk, I explain that for an arbitrary textit{abelian} Anderson $t$-module, we have a collection of perfect pairings $ker(phi_{t^n})timesker(phi^*_{t^n})tomathbb{F}_q$, and that we can use them to obtain a canonical generating series $(F_phi)_cin M_{dtimes d}(K)[![tau^{-1},tau]!]$ for all $cinmathbb{F}_q(!(t^{-1})!)/mathbb{F}_q(t)$. The study of the properties of $F_phi$ allows us to prove that, if $exp$ is surjective, $ker(exp^*)$ is compact and isomorphic to the Pontryagin dual of $ker(exp)$. Moreover, we deduce an alternative explicit description of the Hartl–Juschka pairing, obtained by Gazda and Maurischat in a recent preprint.

Motivic Spectra
2025-07-14 10:15 - 11:45 | Mainz, Hilbertraum (05-432) and Zoom
Talk 9: Snaith Theorem for periodic algebraic cobordism (Anton Engelmann)

Categorical Deligne–Langlands correspondence
2025-07-15 14:00 - 18:00 | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Timo Richarz and Thibaud van den Hove: Talks 13 & 14 (double session and dinner)
Zoom (612 2072 7363, Password: [REDACTED] six digit prime number)

Locally analytic vector bundles on the Fargues-Fontaine-Curve
2025-07-17 11:15 - 13:15 | Heidelberg, Mathematikon, SR 8 and Zoom, INF 205, Heidelberg, Germany
The solution functor and Theorem B
Marlon Kocher (Heidelberg)

Anabelian geometry - Daniel Litt "Arithmetic representations of fundamental groups II"
2025-07-17 14:00 - 17:30 | Frankfurt, Robert-Mayer-Str. 6-8, Raum 309
14:00 – 15:15 Talk 8: Jakob Stix (Universität Frankfurt): Finiteness of arithmetic representations
15:45 – 17:00 Talk 9: Ruth Wild (Universität Frankfurt): Weight filtrations on deformation rings I

D-elliptic sheaves and the Hasse principle
2025-07-18 09:00 - 11:00 | Heidelberg, Mathematikon, SR 8 and Zoom, INF 205, Heidelberg, Germany
Global points and the Hasse principle
speaker: Sriram C. Venkata (Heidelberg)

Der syntomische Logarithmus
2025-07-18 13:30 - 14:30 | Heidelberg, Mathematikon, SR A and Livestream
Der syntomische Logarithmus
Matthias Flach (Caltech/USA)
In Gemeinschaftsarbeit mit A. Krause und B. Morin geben wir mit Hilfe von prismatischer Kohomologie eine neue Konstruktion der Bloch-Kato Logarithmusabbildung. Als Anwendung beweisen wir die Vermutung C_{EP} von Fontaine und Perrin-Riou für Tate-Motive über beliebigen lokalen Körpern der Charakteristik null.

Seminar on Arithmetic Geometry
2025-07-18 15:30 - 17:00 | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Abhishek Oswal (University Freiburg): p-adic hyperbolicity of the moduli space of abelian varieties
By a theorem of Borel, any holomorphic map from a complex
algebraic variety to the moduli space of abelian varieties (and more
generally to an arithmetic variety) is in fact algebraic. A key input
is to prove that any holomorphic map from a product of punctured disks
to such an arithmetic variety does not have any essential
singularities. In this talk, I’ll discuss a p-adic analogue of these
results. This is joint work with Ananth Shankar and Xinwen Zhu (with an
appendix by Anand Patel).
Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl

Workshop Linear Algebraic Groups
2025-07-24 - 2025-07-25 | Darmstadt

Anabelian geometry - Daniel Litt "Arithmetic representations of fundamental groups II"
2025-07-24 14:00 - 17:30 | Heidelberg
14:00 – 15:15 Talk 10: Weight filtration on deformation rings II
15:45 – 17:00 Talk 11: Integral analysis and proof of Frey–Mazur

Conference "Motives and Arithmetic Geometry"
2025-07-28 - 2025-08-01 | Darmstadt

"International Workshop on Automorphic Forms"
2025-09-01 - 2025-09-05 | SwissMAP Research Station, Les Diablerets, Switzerland, Switzerland

tba
2025-09-04 16:00 - 17:00 | Zoom
International Seminar on Automorphic Forms
Ziqi Guo ( Peking University) tba

https://tu-darmstadt.zoom.us/j/68048280736
The password is the first Fourier coefficient of the modular j-function (as digits)

Tame Local Langlands
2025-10-14 14:00 - 15:30 | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Talk 1: The Kottwitz set B(GL_n)
Arieh Zimmerman (Boston College)
Zoom (612 2072 7363, Password: [REDACTED] six digit prime number)

p-adic Simpson correspondence
2025-10-15 14:00 - 18:00 | Frankfurt, Robert-Mayer-Str. 6-8, Raum 309
Talk 0: Ruth Wild (Goethe Universität Frankfurt): Introduction
Talk 1: Benjamin Steklov (Goethe Universität Frankfurt): Rigid and perfectoid spaces
Talk 2: Magnus Carlson (Goethe Universität Frankfurt): v-topology

Konstruktion von Galoisüberlagerungen mithilfe starr-analytischer Verklebung
2025-10-16 09:15 - 10:45 | Heidelberg, MATHEMATIKON, SR 7, INF 205, Heidelberg, 69120, Germany
Talk 1: Einführung
Alexander Schmidt (Universität Heidelberg)

Solid Locally Analytic Representations in Mixed Characteristic
2025-10-17 13:30 - 15:00 | Heidelberg, Mathematikon, SR A and Livestream
Dr. Gal Porat (Einstein Institute of Mathematics, Hebrew University of Jerusalem)
Abstract:
Locally analytic representations of p-adic Lie groups with Q_p coefficients are powerful tools in p-adic Hodge theory and the p-adic Langlands program. This perspective reveals important differential structures, such as the Sen and Casimir operators.
A few years ago, Rodrigues Jacinto and Rodriguez Camargo developed a “solid” version of this theory using the language of condensed mathematics, which provides more robust homological tools (comparison theorems, spectral sequences…) for studying these representations.
This talk will present ongoing work that extends this solid theory to a much broader class of mixed characteristic coefficients, such as F_p((X)) or Z_p[[X]]<p/x>, as well as semilinear representations. I will conclude by exploring how these ideas relate to mixed characteristic phenomena in p-adic Hodge theory and the Langlands program.

"Motives and Higher Categories "
2025-10-20 09:00 - 2025-10-22 13:00 | Mainz, Hilbertraum (05-432)
The workshop will feature 12 talks by the following speakers:

William Balderama
Julius Frank
Niklas Kipp
Ahina Nandy
Lucas Piessevaux
Florian Riedel
Victor Saunier
Robert Szafarczyk
Hari Sudarsan
Swann Tubach
Anneloes Viergever
Sebastian Wolf

Tame Local Langlands
2025-10-21 14:00 - 15:30 | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Talk 2: The Kottwitz set B(G)
Yanik Kleibrink (TU Darmstadt)
Zoom (612 2072 7363, Password: [REDACTED] six digit prime number)

Konstruktion von Galoisüberlagerungen mithilfe starr-analytischer Verklebung
2025-10-23 09:15 - 10:45 | Heidelberg, MATHEMATIKON, SR 7, INF 205, Heidelberg, 69120, Germany
Talk 2: Starr-analytische Räume
Alexander Schmidt (Universität Heidelberg)

Higher algebra
2025-10-23 11:15 - 12:45 | Heidelberg, Mathematikon, SR 8 and Zoom, INF 205, Heidelberg, Germany
Talk 1: From categories to ∞-categories
Marvin Schneider (Universität Heidelberg)

Some cases of cube sum problem
2025-10-24 13:30 - 15:00 | Heidelberg, Mathematikon, SR A and Livestream
Dipramit Majumdar (IIT Madras / Universität Heidelberg)
Abstract: An integer n is said to be a rational cube sum or simply a cube sum if n can be written as a sum of cubes of two rational numbers. For example, 6 = (17/21)^3+ (37/21)^3. A cube-free integer n > 2 is a cube sum if and only if the elliptic curve y^2=x^3-432n^2 has infinitely many solutions over the rational numbers. A recent result of Alpöge-Bhargava-Shnidman-Burungale-Skinner shows that a positive proportion of integers are cube sums and a positive proportion of integers are not.
We will discuss the cube sum problem for some special family of integers. This talk is based on joint works with De, Jha, Mondal, Shingavekar and Sury.

Seminar on Arithmetic Geometry
2025-10-24 15:30 - 17:00 | Darmstadt, Room 401 and Zoom, Schlossgartenstraße 7, Darmstadt, 64289, Germany
Michael Rapoport (University Bonn): Toric schemes and integral models of Shimura varieties
The modular curve with Gamma0(p)$-level structure has a beautiful integral model over BZp, and generalizations of this model to any Shimura variety with p-parahoric level have been constructed in the last 30 years. When passing from Gamma0(p)-level to Gamma1(p)-level, the situation changes drastically. In the talk I will explain a general method that potentially allows to deal with such level structures. The method is based on the construction of torus embeddings of the maximal torus of a reductive group scheme. Joint work with G. Pappas.
Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl)

Riemann-Hilbert Correspondence in characteristic p
2025-10-27 10:00 - 12:00 | Mainz, Hilbertraum 05-432
Introduction by Tom Bachmann (JGU Mainz)
We will be learning about the Riemann-Hilbert correspondence in characteristic p, relating ètale sheaves and Frobenius modules, following the presentation of Akhil Mathew. The current version of the program can be found at: http://tom-bachmann.com/programm-RH.pdf

Noether-Lefschetz loci in A_g and modularity
2025-10-27 15:15 - 17:45 | Darmstadt
15:15 – 16:15 Riccardo Zuffetti (TU Darmstadt): Introduction to the modularity conjecture
16:45 – 17:45 Mingkuan Zhang (TU Darmstadt): The moduli space of abelian varieties
