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Relatively hyperbolic groups and convex projective structures

Mitul Islam (Heidelberg University)
Mitul Islam (Heidelberg University)
When Mar 28, 2023
from 04:00 PM to 05:00 PM
Where First floor auditorium, TIFR-CAM
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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. 

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