Arithmetic Homotopy Geometry

International activity and personnal contributions -- mainly on the moduli stacks of curves and their stack inertia stratification. Includes simplical and homotopical algebraic geometry — i.e. model categories and motivic considerations for stacks à la Morel-Voevodsky—, arithmetic anabelian geometry of curves — e.g. G-covers, irreducible components of Hurwitz spaces, étale fundamental group —, Grothendieck-Teichmüller theory — e.g. mapping class groups, pants decompositions, Serre bonté —, arithmetic of operads — in genus 0 via Friedlander étale topological type and prospaces—, and Tannakian formalism in Perverse sheaves.

Since 2023 this activity takes place in the CNRS France-Japan International Research Network LPP-RIMS ``Arithmetic & Homotopic Galois Theory'' (AHGT), see AHGT seminar and workshops, and AHGT publications.

Activities (selection)

... complete activity since 2019 on RIMS semester news.

Contact Informations

Benjamin Collas :: Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN :: :: :: PGP Key :: Office: room 205.

:: MatSciNet Profile

Updated May 2023 from Kyoto Japan