This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.
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.