Title: Triviality of the first Galois cohomology sets for unirational algebraic groups
Speaker: Alexandre Lourdeaux（Southern University of Science and Technology）
Time: Sunday, August 30, 2026, 14:00-15:00
Venue: Gewu Building, Room 315
Abstract: Serre's Conjecture I states that over a perfect field of cohomological dimension at most 1, the first non abelian Galois cohomology set of any connected linear algebraic group is trivial, that is every torsor under such a group has a rational point. In this talk, after introducing some fundamental facts about Galois cohomology in order to understand the meaning of Conjecture I, I will present a generalization of Conjecture I to unirational groups over a field of Kato dimension at most 1. This is a joint work with Anis Zidani.
