Description
Algebraic Groups seminar.
Speaker: Anupam Kumar Singh.
Affiliation: IISER Pune.
Date and Time: Friday 27 September, 5:30 pm - 6:30 pm.
Venue: Room 215, Department of Mathematics.
Title: z-classes in algebraic groups.
Abstract: Two elements of a group G are said to be z-equivalent if their
centralizers are conjugate within G. The z-equivalence is a weaker
relation than the conjugacy relation. Let G be an algebraic group defined
over a field k. Steinberg, proved that when G is a reductive group and k
is an algebraically closed field, G(k) has finitely many z-classes. This
result is generalised to more general base field k which are of type (F).
In this talk, we discuss the results on this problem.