Algebraic Brauer groups modulo constants of homogeneous spaces
Người báo cáo: Nguyễn Mạnh Linh (Université Paris-Saclay)
Thời gian: 16:30, thứ năm, 26/05/2022

Tóm tắt: For a homogeneous space of a semisimple, simply connected linear algebraic group, the quotient of its "unramified algebraic" Brauer group by its subgroup of constants injects into a certain subgroup of the first Galois cohomology of its geometric Picard group. This inclusion is an isomorphism if either the homogeneous space has a rational point or the third Galois cohomology of the multiplicative group over the base field vanishes. In my talk, I construct an example where this inclusion is strict. This is the text https://arxiv.org/abs/2204.10967.

Meeting ID: 899 3129 7203

Passcode: 185207

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