Divergent extended geometrically finite representations via flows

Mon Sep 16, 2024 4:15 p.m.—5:15 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Group Actions, Geometry and Dynamics

Event time: 
Monday, September 16, 2024 - 4:15pm

Location: 
KT205

Speaker: 
Tianqi Wang

Speaker affiliation: 
Yale

Event description: 
The notion of extended geometrically finite representations introduced by Weisman generalizes Anosov representations by studying the convergence dynamics on group boundary extensions. We prove that divergent, extended geometrically finite representations can be interpreted as admitting dominated splitting over certain flow spaces. In particular, we provide an example of such representation constructed by Tholozan–Wang in the study of simple Anosov representations.