School of Mathematics Colloquium

Relatively hyperbolic groups and convex projective structures

by Dr. Mitul Islam (Heidelberg University)

Thursday, March 23, 2023 from to (Asia/Kolkata)
at AG-69
Description
Abstract: Studying discrete subgroups of linear groups using a preserved
geometric structure has a long tradition, for instance, using real
hyperbolic geometry to study discrete subgroups of SO(n,1). Convex
projective structures, a generalization of real hyperbolic structures, has
recently received much attention in the context of studying discrete
subgroups of PGL(n). In this talk, I will discuss convex projective
structures and discuss results (joint with A. Zimmer) on relatively
hyperbolic groups that preserve convex projective structures. In
particular, I will discuss a complete characterization of relative
hyperbolicity in terms of the geometry of the projective structure.