The Grothendieck--Serre conjecture and its relationship to purity results
Người báo cáo:
Time: 14h00, Thursday, March 12 (tentative), 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.
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
https://us06web.zoom.us/j/82593112883?pwd=mHKEOY6K68tzbQEr0RpVVzl4BnrcaA.1
Meeting ID: 825 9311 2883
Passcode: 123456
Organizers: Phung Ho Hai, Doan Trung Cuong,
Scientific secretary: Dao Van Thinh
Scientific advisor: Hélène Esnault
Contact: lsapm.info@math.ac.vn
Scientific secretary: Dao Van Thinh
Scientific advisor: Hélène Esnault
Contact: lsapm.info@math.ac.vn
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