Date & Time: Monday, February 16, 2009, 16:00-17:00.
Venue: Room 216
Title: Abelian Galois Cohomology of Reductive Groups
Speaker: Mikhail Borovoi, Tel Aviv University
Abstract: For a connected reductive group G over a field k of characteristic 0, we define a canonical and functorial map (the abelianization map) from the pointed set of the first Galois cohomology H1(k,G) into a certain abelian group (the group of abelian Galois cohomology). When k is a p-adic field or a totally imaginary number field, this abelianization map is bijective, hence H1(k,G) has a canonical and functorial structure of an abelian group.