Arakelov Geometry and Condensed Mathematics

Strasbourg, May 19-23, 2025

Morant (1548), Archives de Strasbourg

Speakers:

Jean-Benoît Bost (Paris Saclay)
José Ignacio Burgos (ICMAT - Madrid)
François Charles (ENS Paris)
Adam Dauser (MPIM Bonn)
Arthur-César Le Bras (Strasbourg)
Ferdinand Wagner (MPIM Bonn)

Course on Arakelov geometry

1) A tendencious introduction to Arakelov geometry (Bost)
2) An introduction to formal-analytic arithmetic surfaces (Bost)
3) An introduction to Higher dimensional Arakelov theory (Burgos)
4) Infinite-dimensional geometry of numbers and affine schemes in Arakelov geometry (Charles)

Course on analytic geometry

1) Light condensed sets and abelian groups, analytic rings (Le Bras)
2) Analytic rings: examples (Le Bras)
3) Analytic stacks (Dauser)
4) Examples of analytic stacks: schemes, complex and p-adic analytic spaces (Wagner)
5) Examples of analytic stacks: Betti and de Rham stacks (Dauser)
6) Examples of analytic stacks: the gaseous base stack (Wagner)

Schedule, titles and abstracts

Social dinner: Thursday 22nd of May at 7:30 PM.
Restaurant Madeleine, 22 rue Sainte-Madeleine.
67000 Strasbourg
+33 3 88 36 19 27
https://madeleine-restaurant.fr/

Registration is closed.
We are not able to provide financial support for participants.

Practical information

Location: Salle de Conférence (ground floor), IRMA building, Institut de recherche mathématique avancée (IRMA) .
Address: 7 rue René Descartes, 67084 Strasbourg Cedex.
You could take the tramway Line C, get off at the stop "Universités", and take the road/rue Edmond Labbé.
After 100 meters, without making any turns, the road changes its name into "rue du général Zimmer". Then you can see the 7-floor IRMA building on your left.
For a picture of the building: More information

Coffee breaks: the common room next to the Salle de Conférence.

Organizers

Lie Fu
Carlo Gasbarri
Arthur-César Le Bras
Adriano Marmora