Sydney University Algebra Seminar

# Algebra Seminar

### Conjugacy classes in a reductive subgroup of a reductive group.

Friday October 19, 12-1pm, Carslaw 375.

Let G be a reductive algebraic group and let H be a reductive subgroup of G. Given h \in H, it is natural to ask whether the G-conjugacy class of h intersects H in a finite union of H-conjugacy classes. More generally, we can ask a similar question for an N-tuple h \in HN.

I conjecture that the answer is yes. In this talk, I will present some supporting evidence, and discuss some applications of the conjecture.