Description
Date and Time: Wednesday, 17th February 2021 at 2 PM
Google Meet Link: https://meet.google.com/zif-jpge-ybc?hs=122&authuser=1
Speaker: Sagar Kalane, IISER Pune
Title: Classification of pairs of quaternionic and complex hyperbolic
isometries
Abstract:
Consider the Lie groups G=SU(n, 1) and Sp(n, 1) that act as isometries
of the complex and the quaternionic hyperbolic spaces respectively. In
this talk, we will classify pairs of semisimple elements in Sp(n, 1) and
SU(n, 1) up to conjugacy. This gives local parametrization of the
representations ρ in deformation space Hom(F2, G)/G such that both
ρ(x) and ρ(y) are semisimple elements in G, where F2 = , G =
Sp(n, 1) or SU(n, 1). Also, we shall classify conjugation orbits of
non-singular pairs of loxodromic elements in SU(n,1). This is a survey
of joint work with Krishnendu Gongopadhyay