On the Ihara/Oda-Matsumoto conjecture and its variants

Seminar series

Arithmetic Geometry Seminar

Date

Mon, 07 Nov 2016

Time

11:00 - 12:00

Location

Speaker

Adam Topaz

Organisation

Oxford

Following the spirit of Grothendieck’s Esquisse d’un Programme, the Ihara/Oda-Matsumoto conjecture predicted a combinatorial description of the absolute Galois group of Q based on its action on geometric fundamental groups of varieties. This conjecture was resolved in the 90’s by Pop using anabelian techniques. In this talk, I will discuss some satronger variants of this conjecture, focusing on the more recent solutions of its pro-ell and mod-ell two-step nilpotent variants.