WEEKLY ACTIVITIES

Nonabelian Galois cohomology and rational points
Báo cáo viên: Nguyễn Mạnh Linh - Institut de Mathématiques de Jussieu - Paris Rive Gauche

Thời gian: 9h30 Thứ Năm ngày 06/02/2025

Tóm tắt: Cohomology of commutative sheaves of groups has natural generalizations in degree 0 and 1 in nonabelian context: while the zeroth cohomology is just the subgroup of global sections, the first cohomology classifies torsors under the given group. Nonabelian second cohomology, studied by Giraud in the general setting, and then by Springer for Galois cohomology, has been being used systematically for the study of rational points in arithmetic geometry. This talk presents the approach by Springer-Borovoi, with arithmetic applications. If the time permits, we shall discuss the machinery of abelianization of nonabelian Galois cohomology.

Báo cáo thực hiện trực tiếp tại: Phòng 612 nhà A6 - Viện Toán học và Online (Join Zoom Meeting) tại link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

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