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 seminar and workshops, and publications.

Recent Activity

My RIMS webpage contains further information on present seminar and daily activity.

See here for more talks by topics, or here for organization of conferences and seminars, and here for international invitations.

Contact Informations

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

:: MatSciNet Profile

Updated May 2022 from Kyoto Japan