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.)

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.)

Description

Ramanujan Hall, Department of Mathematics

Date

Thu, February 22, 2018

Start Time

4:00pm-5:00pm IST

Duration

1 hour

Priority

5-Medium

Access

Public

Created by

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Updated

Mon, February 19, 2018 2:23am IST