Length functions on groups and applications to actions on Gromov hyperbolic spaces

Speaker:Shengkui Ye (NYU Shanghai)

Date:July 12 Mon. 3:00pm -- 4:30 pm

Venue:Lecture Hall, Institute for Advanced Study in Mathematics, No.7 teaching building

Abstract:In the second talk, we will continue to discuss the (rough) action of a finite-index subgroup of SL(n,R),n>2, (R is a ring of algebraic integers in a number field) on a Gromov hyperbolic space.  After proving the general fixed-point property, we will discuss the actions on manifolds of pinched negative curvatures, for which more rigid results can be proved.