Spring School on

Non-archimedean geometry and eigenvarieties

March 06 - 17, 2023 • University of Heidelberg
General information
Location: University of Heidelberg, Germany
Date: 06.03.23 - 17.03.23
Description:

Families of p-adic automorphic forms are well studied objects of arithmetic geometry since the pioneering work of Hida and Coleman. Their study resulted in the definition of geometric objects, called eigenvarieties, that parametrize systems of Hecke eigenvalues of p-adic automorphic forms. Conversely, the rich geometry of these varieties gives insights about p-adic (and thereby also about classical) automorphic forms. Recent techniques from perfectoid geometry, locally analytic representation theory and the point of view of the p-adic Langlands program give new insights and impulses.

The spring school will give an introduction to both p-adic automorphic forms and eigenvarieties as well as the necessary background in p-adic analytic geometry. The courses will be complemented by research talks that will focus on recent developments in the area.

The first week of the spring school will focus on p-adic analytic geometry, the analogue of complex analytic geometry over p-adic base fields. We will study classical rigid analytic spaces from the point of view of adic spaces and introduce perfectoid spaces. The second week will focus on p-adic automorphic forms and eigenvarieties. We will introduce and compare several approaches to p-adic automorphic forms.

Spring School lectures:
  • John BERGDALL, University of Arkansas
  • Eugen HELLMANN, University of Münster
  • Ben HEUER, University Bonn
  • Katharina HÜBNER, University of Heidelberg
  • Adrian IOVITA, Univ. Concordia / Padua
  • Christian JOHANSSON, University of Gothenburg
  • Judith LUDWIG, University of Heidelberg
  • James NEWTON, University of Oxford
Research Talks:
  • Rebecca BELLOVIN, University of Glasgow
  • Chris BIRKBECK, University College London
  • Christian JOHANSSON, University of Gothenburg
  • Lucas MANN, University Bonn
  • Joaquín RODRIGUES JACINTO, Univ.Paris Saclay
  • Mingjia ZHANG, University Bonn
  • Vincent PILLONI, Université Paris-Saclay

John Bergdall

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Katharina Hübner

Christian Johansson

Ben Heuer

Judith Ludwig

James Newton

Adrian Iovita

Eugen Hellmann

Application deadline: 31.10.2022
Registration deadline (if you do not request any funding): 31.12.2022

If you are interested in participating in the spring school, please apply below. Our funding possibilities are restricted to Master/PhD students and Post-Docs. In any case we expect anybody who applies for financial support, to look also for other resources in order to attend this school. It is possible to participate during the whole event or just for the first or just for the second week depending on one’s interest and knowledge.

All applicants who applied for funding will be informed by the end of November about our decision per email.

All fields marked with * are required.

I am a
If you are a Master/PhD student please provide a recommendation letter from your supervisor until 31.10.2022 to be send to springschool2023@mathi.uni-heidelberg.de.
I would like to participate
I am applying for financial support:
The Spring School takes place at:

Mathematikon
Im Neuenheimer Feld 205
69120 Heidelberg
Room TBC


Note that there are three similar buildings next to each other that are all called “Mathematikon”. The Summer School takes place in the southernmost one of them, directly across the tram station “Bunsengymnasium” and a Shell gas station. The place in front of it is called Klaus-Tschira-Platz.

Organisers

Prof. Otmar Venjakob
University of Heidelberg, Germany

Dr. Judith Ludwig
University of Heidelberg, Germany

Prof. Eugen Hellmann
University of Münster, Germany

Prof. Sujatha Ramdorai
University of British Columbia, Vancouver, Canada

Coordination Office

Frau Birgit Schmoetten-Jonas
Tel.: +49-6221-54-14241
Fax: +49-6221-54-14243
Email: springschool2023@mathi.uni-heidelberg.de

Postal Address

Ruprechts-Karls-Universität Heidelberg
Mathematisches Institut, Raum 03-417
Im Neuenheimer Feld 205
D-69120 Heidelberg
Germany