Character Varieties of Random Groups

Explore the intricacies of character varieties in random groups through this 47-minute lecture by Emmanuel Breuillard from the University of Cambridge. Delve into topics such as representation theory, space of orbits, surface groups, and random presentations. Examine faithful representations, hyperbolic groups, and cosmetic groups while investigating boundary limits and their proofs. Gain insights from this talk, part of the "From Geometric Stability Theory to Tame Geometry" workshop at the Fields Institute, to enhance understanding of geometric group theory and its applications.

Intro
Representation
General facts
Space of orbits
Questions
Terminology
Surface groups
Random Presentations
Faithful Representations
hyperbolic groups
cosmetic groups
boundary limit
proof
corollary
the proof