ETHZ-UZh-Sbg Arithmetic and Geometry Research Group
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Workshop "Alpbach 2025"
This workshop is organized by J. Ayoub, C. Fuchs, P. Habegger, R. Pink, and S. Zerbes. The workshop takes place from 25.-30.6. (Wednesday till Monday), 2025 at the Böglerhof in Alpbach/Tyrol, Austria.
This, the 18th in a series of Workshops in Alpbach, will feature minicourses given by world class researchers and invited talks by younger researchers, covering topics in various areas of number theory, including but not limited to arithmetic geometry, Galois representations, etc. The emphasis includes not only deep theoretical developments, but also applications of a more concrete/computational nature. Minicourses presenting a broad overview of these topics, delivered by top international experts, will be complemented by invited talks highlighting recent progress.
The group picture with the workshop participants can be found here: JPG
Participants:
Konstantin Ardakov (U. Oxford)
Joseph Ayoub (U. Zurich)
Johannes Droschl (U. Vienna)
Mohamed Ez Zarraq (U. Vienna)
Giacomo Ferraro (U. Heidelberg)
Clemens Fuchs (U. Salzburg)
Alexandros Groutides (U. Warwick)
Samuel Huber (ETH Zurich)
Thomas Jacob (U. Zurich)
Ariyan Javanpeykar (Radboud U. Nijmegen)
Ananyo Kazi (FernUni Schweiz)
Dmitrii Krekov (ETH Zurich)
David Loeffler (FernUni Schweiz)
Maxim Mornev (ICMAT Madrid)
Francesco Naccarato (ETH Zurich)
Matt Papanikolas (Texas AMU)
Richard Pink (ETH Zurich)
Marti Roset Julia (Mc Gill U.)
Gabriel Ribeiro (ETH Zurich)
Chiara Sabadin (U. Regensburg)
Felix Sefzig (U. Zurich)
Arun Soor (U. Oxford)
Alexander Stadler (U. Vienna)
Pol van Hoften (VU Amsterdam)
Ana Marija Vego (ETH Zurich)
Jianfeng Xie (ETH Zurich)
Sarah Zerbes (ETH Zurich)
Radek Zak (U. Oxford)
The participants consist of PhD students and postdocs in arithmetic and geometry from Zurich as well as colleagues from Basel and Salzburg among others.
Minicourses:
Konstantin Ardakov (U. Oxford): D-modules on rigid analytic spaces
Matt Papanikolas (Texas AMU): Periods of Anderson t-modules
Pol van Hoften (VU Amsterdam): Hecke orbits on Siegel modular varieties
Program:
The program will start on Wednesday evening, the first talk is scheduled for 17:15-18:45. The detailed program (including abstracts) can be found here: PDF; it includes confirmed minicourses by Konstantin Ardakov, Matt Papanikolas and Pol van Hoften as well as invited talks by Johannes Droschl, Giacomo Ferraro, Ariyan Javanpeykar, Dmitrii Krekov, Marti Roset Julia, and Arun Soor.
Wednesday, 25.06.2025 (Arrival day): D-modules on rigid analytic spaces. I (Konstantin Ardakov)
Thursday: Periods of Anderson t-modules. I (Matt Papanikolas); Hecke orbits on Siegel modular varieties. I (Pol von Hoften); The weakly special conjecture contradicts Orbifold Mordell (and hence abc) (Ariyan Javanpeykar); On the spectrum of the symplectic Grassmannian and the space of matrices (Johannes Droschl)
Friday: D-modules on rigid analytic spaces. II (Konstantin Ardakov); Periods of Anderson t-modules. II (Matt Papanikolas); The kernel of the adjoint exponential in Anderson t-modules (Giacomo Ferraro); On the factorisation of p-adic Asai L-function associated to a base-change quadratic Hilbert modular form (Dmitrii Krekov)
Saturday: Hecke orbits on Siegel modular varieties. II (Pol von Hoften), D-modules on rigid analytic spaces. III (Konstantin Ardakov)
Possible Saturday afternoon program: Informal discussion, excursions, hiking tours.
Sunday: Periods of Anderson t-modules. III (Matt Papanikolas), Hecke orbits on Siegel modular varieties. III (Pol von Hoften)
Possible Sunday afternoon program: Informal discussion, excursions, hiking tours.
Monday, 30.06.2025 (Departure day): Rigid cocycles for SL(n) and their values at special points (Marti Roset Julia); Relation between D-cap modules and quasi-coherent sheaves on the de Rham space (Arun Soor)

(Tentative) Schedule:
09:00 - 10:30: Lecture
10:30 - 11:00: Coffee break
11:00 - 12:30: Lecture
or
09:00 - 10:00: Invited talk
10:00 - 10:30: Coffee break
10:30 - 11:30: Invited talk
12:30: Lunch
13:45 - 15:15: Lecture
15:15 - 18:00: Time for informal discussion
or
13:45 - 14:45: Invited talk
15:00 - 16:00: Invited talk
16:00 - 18:00: Time for informal discussion
19:00: Dinner
Lecture Notes and Literature:
Further references will be announced here.
Impressum    29.06.2025