- March 2026: Kęstutis Česnavičius (Orsay)
Title: The Grothendieck--Serre conjecture and its relationship to purity results
Abstract. In 1958, Grothendieck and Serre predicted that for a field k, a finite type, smooth k-group scheme G, and a smooth k-scheme X, every generically trivial G-torsor over X trivializes Zariski locally on X. I will overview this question and its various generalizations, as well as some of the methods that go into studying them, with a particular focus on the recently discovered relations to several purity results for cohomology.
- August 2026: Daniel Litt (Toronto)
- April 2027:Ngô Bảo Châu (Chicago-Hanoi)
- Fall 2027: Javier Fresán (Paris)
