Topological restrictions on Anosov representations

Group Actions and Dynamics
Event time: 
Monday, November 16, 2020 - 4:00pm
Richard Canary
Speaker affiliation: 
University of Michigan
Event description: 
Anosov representations are the higher rank analogues of convex cocompact
representations  into rank one Lie groups. However, very little is known about the class of groups
which admit Anosov representations. In this talk, we discuss characterizations of groups
which admit Anosov representations into SL(3,R), projective Anosov representations into
SL(4,R) and Borel Anosov representations into SL(4,R). In general, we provide restrictions
on the cohomological dimension of groups admitting Anosov representations into SL(d,R).
Joint work with Konstantinos Tsouvalas.