Felix Klein Seminar: Zach Greenberg - Max Planck Institute Leipzig


Location: 125 Hayes-Healy Bldg

Cluster Algebra image

Speaker: Zach Greenberg
Max Planck Institute Leipzig

Will give a Felix Klein Seminar entitled:
Using Cluster Algebras to Compute Restriction of Anosov Subgroups of Sp(2n,R)

Abstract: Anosov representations are an important class of representations generalizing holonomy representations of hyperbolic surfaces. Given a simple Lie group G, one can ask what hyperbolic groups have Anosov representations into G. The boundary of the representation lands in the flag manifold associated to G and studying the topology of this manifold gives conditions on possible representations. We will use the cluster structure on the space of transverse triples of flags to compute the topology of these spaces. When G = SP(2n,R) this is sufficient to classify all Borel Anosov representations.

Date: 03-07-2024
Time: 2:00 pm
Location: 125 Hayes-Healy Bldg

Download Poster [PDF, 390k]