The Grothendieck--Serre conjecture and its relationship to purity results

Time: 14h00, Thursday, March 26, 2026

Venue: Lecture hall 301, A5, Institute of Mathematics, VAST
Lecturer: Kęstutis Česnavičius
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.

 

Registration for participation: form

 

 

Online participation: Join Zoom Meeting
https://us06web.zoom.us/j/82593112883?pwd=mHKEOY6K68tzbQEr0RpVVzl4BnrcaA.1
Meeting ID: 825 9311 2883
Passcode: 123456

Poster

Organizers: Phung Ho Hai, Doan Trung Cuong,

Co-organized by ICRTM and Geometry and Topo Department
Scientific secretary: Dao Van Thinh
Scientific advisor: Hélène Esnault
Contact: lsapm.info@math.ac.vn