On the Ihara/Oda-Matsumoto Conjecture and its mod-l variant

Vortrag von Dr. Adam Topaz

Sprecher eingeladen von: Prof. Dr. Joseph Ayoub

Datum: 16.04.18  Zeit: 13.15 - 14.45  Raum: Y27H25

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 by Pop in the 90's using techniques from anabelian geometry, and a few stronger variants have since been introduced. In this talk, I will discuss the ``mod-l'' variant of this conjecture, as well as some of the key ideas behind its proof.