Arithmetic, Homotopy, and Geometry

Berkovich geometry & Homotopy type

Season A - Homotopy, rationality, and geometry

[Workshop] Berkovich geometry and Homotopy type

June 3-4, 2027 RIMS Kyoto, JP Organizers: E. Lepage (IMJ-PRG, FR) & J. Poineau (Caen, FR)

Tprogram will highlight both foundational developments, and new directions at the crossroads of multiple areas, such as arithmetic dynamics, complex degenerations, K-stability, tropical geometry, and anabelian geometry.
The aim is to encourage exchanges across these closely related areas and to promote new interactions within the growing community interested in homotopical and analytic methods in arithmetic geometry.

Keywords: non-Archimedean analytic geometry; Berkovich spaces; anabelian geometry; arithmetic dynamics; complex degenerations; tropical geometry.

Speakers (In progress...)

  • Keita Goto, RIKEN iTHEMS, JP
  • Reimi Irokawa, NTT Corporation, JP
  • Shu Kawaguchi, Kyoto University, JP
  • Vlerë Mehmeti, ENS PSL-IMJ-PRG, FR
  • Yuji Odaka, Kyoto University, JP
  • Yûsuke Okuyama, Kyoto Institute of Technology, JP
  • Jérôme Poineau, Caen University, FR
  • Shota Tsujimura, RIMS Kyoto University, JP
  • Kazuhiko Yamaki, Tohoku University, JP

Venue

All talks take place at RIMS, Kyoto University [How to come].

Previous & Next events :: Workshops...

Arithmetic invariants from homotopy Galois theory

May 31- June 1, 2027 RIMS

Org.: S. Philip (Stockholm, SE), N. Yamaguchi (Tokyo Denki, JP)

Counting results in geometric Galois theory

June 09- June 11, 2027 Kyoto

Org.: T. Yasuda (Osaka, JP), E. Boughattas (Rennes, FR), R. Darda (Sabanci, TR).

Rational obstruction & Noether program

June 14-19, 2027 Kyoto

Org.: M. Florence (IMJ-PRG, FR), A. Hoshi (Niigata, JP), D. Izquierdo (IMJ-PRG,FR), H. Tsunogai (Sophia, JP).