Rigidity of conformal measure preserving representations via self-joinings

Mon Jan 30, 2023 4:00 p.m.—5:00 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, January 30, 2023 - 4:00pm

Location: 
LOM 206

Speaker: 
Hee Oh

Speaker affiliation: 
Yale

Event description: 
I will discuss a rigidity problem for representations of discrete Zariski dense subrgoups, and a surprising role played by higher rank conformal measures of the associated self-joining group.  Our approach recovers rigidity theorems of Sullivan, Tukia and Yue, as well as has found a new application to Anosv representations, in particular to Hitchin representations. (Based on joint work with Dongryul Kim)