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.