Marked Length Spectrum Rigidity for Surface Amalgams

Tue Dec 3, 2024 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: 
Geometry & Topology

Event time: 
Tuesday, December 3, 2024 - 4:00pm

Location: 
KT 207

Speaker: 
Yandi Wu

Speaker affiliation: 
Rice University

Event description: 
The marked length spectrum of a negatively curved metric space can be thought of as a length assignment to every closed geodesic in the space. A celebrated result by Croke and Otal says that metrics on negatively curved closed surfaces are determined completely by their marked length spectra. In my talk, I will discuss my work towards extending Croke and Otal’s result to a large class of surface amalgams which are generalizations of closed, negatively curved surfaces.