# Conjugation Orbits of Loxodromic Pairs in $SU(n,1)$

## Affiliation:

Indian Institute of Science Education and Research (IISER) Mohali

## Date:

Tue, 17/10/2017 - 12:00pm to 1:00pm

## Venue:

RC-4082, The Red Centre, UNSW

## Abstract:

Let $SU(n,1)$ be the isometry group of the $n$-dimensional complex hyperbolic space. An element $g$ in $SU(n,1)$ is called loxodromic or hyperbolic if it has exactly two fixed points on the boundary of the complex hyperbolic space.  We shall discuss a classification of pairs of loxodromic elements in $SU(n,1)$ up to conjugacy. This talk is based on my joint work with Shiv Parsad.