The format of this two-weeks event is audience-oriented: Instead of having a sequel of very specialized talks on the speaker's own favorite research theme we plan to design a list of topics and techniques of general interest from which the participants can learn in order to enrich and facilitate their own work. In this spirit, speakers are asked to prepare material suggested by the organizers (but of course coordinated with them) and to present it in an accessible manner enabling a deeper understanding of the main aspects.
The first week will be more in "Summer School Style", with four mini-courses (four sessions each), complemented by working and exercise sessions in small groups. This week should be valuable for both students and senior researchers.
The second week will be more "Conference Style", but again emphasizing the dialogue and allowing for discussions during the presentations.
The theme of the program "Algebraicity and Transcendence for Singular Differential Equations" represents a rich source of phenomena, techniques, problems, ranging from analysis to algebra, number theory and combinatorics, often based on and stimulated by experimental material and long-ranging conjectures. We are looking forward to have an exciting event.
The p-Curvature Conjecture, I
Problem Session
Problem Session
The p-Curvature Conjecture, II
Problem Session
Problem Session
Problem Session
Problem Session
Problem Session in the Common Room
The p-Curvature Conjecture, III
Problem Session
On G-functions of differential order 2
Picard-Fuchs equations and modular forms - with some applications
Higher dimensional Katz theory
The exponential function in characteristic p
Arithmetic algebraization theorems and the analogy between number fields and function fields
Arithmetic holonomy bounds
via zoom
The arithmetic of power series and applications to periods
On Abel's problem and Gauss congruences
Towards a Kontsevich-Zagier type conjecture for holonomic series
How to decide in practice if a D-finite power series is algebraic?
Organizers
Name | Affiliation |
---|---|
Alin Bostan | INRIA Paris |
Francis Brown | University of Oxford |
Herwig Hauser | University of Vienna |
Shihoko Ishii | University of Tokyo |
Hiraku Kawanoue | Chubu University |
Michael Singer | North Carolina State University |
Attendees
Name | Affiliation |
---|---|
Hiroki Aoki | Tokyo University of Science |
Matthias Aschenbrenner | University of Vienna |
Vincent Bagayoko | Université Paris Cité |
Frits Beukers | Utrecht University |
Gregor Böhm | University of Vienna |
Jean-Benoît Bost | University Paris Sud |
Manfred Buchacher | Johannes Kepler Universität |
Francisco Castro | Universidad de Sevilla |
Christopher Chiu | Katholieke Universiteit Leuven |
Gilles Christol | Université de Jussieu |
Éric Delaygue | Institute Camille Jordan |
Roland Donninger | University of Vienna |
Sebastian Eterovic | University of Leeds |
Eleonore Faber | University of Graz |
Javier Fresán | Sorbonne University |
Florian Fürnsinn | University of Vienna |
Francisco García Cortés | Universidad de Sevilla |
Nutsa Gegelia | Johannes-Gutenberg Universität Mainz |
Vasily Golyshev | Abdus Salam International Centre for Theoretial Physics |
Anna Goncharuk | Karazin Kharkiv National University |
Sebastian Gontarek | University of Wroclaw |
Davide Guzzetti | SISSA |
Yoshishige Haraoka | Josai University |
Charlotte Hardouin | Institut de Mathématiques de Toulouse |
Zhiqiang He | CNRS - Université Grenoble Alpes |
Martin Kalck | University of Graz |
Manuel Kauers | Johannes Kepler Universität |
Maxim Kontsevich | Institut des Hautes Etudes Scientifiques |
Christoph Koutschan | Johann Radon Institute for Computational and Applied Mathematics |
Christian Krattenthaler | University of Vienna |
Abhiram Mamandur Kidambi | Max Planck Institute for Mathematics in the Sciences |
Anton Mellit | University of Vienna |
Luis Narváez Macarro | Universidad de Sevilla |
Adele Padgett | University of Vienna |
Eric Pichon | Max Planck Institute for Mathematics in the Sciences |
Andrea Pulita | Université Grenoble Alpes |
Nigel Pynn-Coates | University of Vienna |
Feliks Rączka | Institute of Mathematics of the Polish Academy of Sciences |
Armin Rainer | University of Vienna |
Julien Roques | Institute Camille Jordan |
Bruno Salvy | Inria Lyon |
Josef Schicho | Johannes Kepler Universität |
Michael Schlosser | University of Vienna |
Yunqing Tang | California Institute of Technology |
Marius van der Put | University of Groningen |
Duco van Straten | Johannes-Gutenberg Universität Mainz |
Daniel Vargas-Montoya | Institut de Mathématiques de Toulouse |
Masha Vlasenko | Kyiv School of Economics |
Shoji Yokura | Kagoshima University |
Masaaki Yoshida | Fukuoka University |
Masahiko Yoshinaga | Osaka University |
Sergey Yurkevich | University of Vienna |
Wadim Zudilin | Radboud University |