## Topology & Geometric Group Theory Seminar

## Fall 2010

### 1:30 – 2:30, Malott 253

Tuesday, September 21

**Martin
Kassabov**, Cornell University

*On a conjecture of Borel and Tits about abstract homomorphisms
between algebraic groups*

Borel and Tits showed that any abstract homomorphism between two
simple algebraic groups with a Zariski dense image can be factored as
a product of two homomorphisms, where one is a homomorphism of
algebraic groups and the other one is induced by a field embedding.
They also conjectured that a similar decomposition exists when the
codomain is not simple.

I will describe recent work of I. Rapinchuk confirming this
conjecture in the case of high rank split algebraic groups over fields
of characteristic 0, which is based on ideas from previous work of me
and M. Sapir.

Back to seminar home page.