Geometrization of covering groups

Người báo cáo: Yifei Zhao (University of Muenster, Germany)

Time: 15:45-17:15 11 September 2025

Venue: Room 507, A6, Institute of Mathematics

Online (Zoom meeting): https://us06web.zoom.us/j/88177098362?pwd=qPMMbcRjMYoR321S7oqW3MUbZHKFGa.1

Meeting ID: 881 7709 8362

Passcode: 123456

Abstract: Reductive groups over local fields admit (typically non-algebraic) topological covers, called "covering groups". An old idea of Deligne is that they arise as transgressions of degree-4 étale cohomology classes of the classifying stack. In this talk, I will explain how this old idea can be combined with new methods in arithmetic geometry to make advances in the Langlands program for covering groups.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)