Description
Speaker: Mikhail Borovoi, Tel Aviv University, currently at TIFR
Date: Thursday, February 22, 2018
Time: 4:00 pm -- 5:00 pm
Venue: Ramanujan Hall
Title: Cayley groups
Abstract
:
I will start the talk from the classical "Cayley transform" for the special
orthogonal group SO(n) defined by Arthur Cayley in 1846. A connected linear
algebraic group G over C is called a *Cayley group* if it admits a *Cayley
map*, that is, a G-equivariant birational isomorphism between the group
variety G and its Lie algebra Lie(G). For example, SO(n) is a Cayley
group. A linear algebraic group G is called *stably Cayley* if G x S is
Cayley for some torus S. I will consider semisimple algebraic groups, in
particular, simple algebraic groups. I will describe classification of
Cayley simple groups and of stably Cayley semisimple groups. (Based on
joint works with Boris Kunyavskii and others.)