Arithmetic, Homotopy, and Geometry

Counting results in geometric Galois theory

Season A - Homotopy, rationality, and geometry

[Workshop] Counting results in geometric Galois theory

June 9-11, 2027 RIMS Kyoto, JP Organizers: T. Yasuda (Osaka, JP), E. Boughattas (Rennes, FR) & R. Darda (Sabanci, TK)

The workshop, "Counting Results in Geometric Galois Theory," aims to bring together experts in the field to share their recent results on cutting-edge topics. Key topics include homological stability for Hurwitz spaces and the stacky perspective on counting problems. The workshop will also cover motivic approaches to counting and the new challenges of generalizing classical results to the wild case. We encourage participants to discuss ways to unify these ideas for further development.

Keywords: Hurwitz spaces (Homological stability), Malle's conjecture (for function fields), Rational points of stacks, Brauer-Manin obstruction (for stacks), Wild Galois extensions of function fields and power series fields (counting results, moduli spaces), Motivic counting of Galois extensions

Speakers (in progress...)

  • Elyes Boughattas, Rennes University, FR
  • Ratko Darda, Sabanci University, TK
  • Changho Han, Korea University, KR
  • Aaron Landesman*, Harvard University, US
  • Daniel Loughran*, The University of Bath, UK
  • Emmanuel Peyre, Grenoble University - CNRS, FR
  • Nicholas Potthast, Padderborn University, DE
  • Matthew Satriano, University of Waterloo, US
  • Sho Tanimoto, Nagoya University, JP
  • Julie Tavernier, The University of Bath, UK
  • Prof. X., in progress, ...
  • Prof. X., in progress, ...
  • Prof. X., in progress, ...
  • Prof. X., in progress, ...

* To be confirmed

Venue

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

With the additional support of JSPS KAKENHI Grant Number JP23K25767 (T. Yasuda)

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