Continuity of Limit Cones in the Space of Anosov Representations

Mon Nov 11, 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 and Dynamics

Event time: 
Monday, November 11, 2024 - 4:15pm

Location: 
KT205

Speaker: 
Subhadip Dey

Speaker affiliation: 
Max Planck Institute, Leipzig

Event description: 
For discrete subgroups of semisimple Lie groups, the limit cone serves as a key invariant in studying asymptotic properties. Anosov subgroups, well-known for their rich geometric and dynamical features, form an important class of these discrete subgroups. A natural question arises: does the limit cone vary continuously along deformations of Anosov subgroups? In this talk, we discuss a sufficient condition for such continuity, along with applications like the continuity of the growth indicators along deformations. Based on joint work with Hee Oh.