**Date & Time:** Thursday, April 03, 2014, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Parameswaran Sankaran, IMSc Chennai

**Title:** Twisted conjugacy in lattices in semisimple Lie groups

**Abstract:** Let *φ:G --> G* be an automorphism of a group *G*. One
has an action of *G* on itself obtained as *g.x = gxφ(g ^{-1})*. The orbits of this action are called

*φ*-twisted conjugacy classes. One says that

*G*has the

*R*-property if the set

_{∞}*R(φ)*of all

*φ*-twisted conjugacy classes is infinite for all

*φ*in

*Aut(G)*.

The problem of determining which groups have the
*R _{∞}*-property has emerged as an active research area. We address
this problem for the class of irreducible lattices in semisimple Lie groups of rank at least

*2*. This is based on joint work with T. Mubeena.