Totally geodesic submanifolds of Teichmüller space

Seminar: 
Geometry & Topology
Event time: 
Tuesday, April 29, 2025 - 4:00pm
Location: 
KT 207
Speaker: 
Francisco Arana-Herrera
Speaker affiliation: 
University of Maryland
Event description: 

The classification of totally geodesic (i.e., rigid) submanifolds is a fundamental question in Riemannian geometry. Following work of Eskin, McMullen, Mukamel, and Wright, these submanifolds have played a fundamental role in the discovery of new phenomena in Teichmüller dynamics. I will discuss recent progress towards a complete classification of these submanifolds. This is joint work with Alex Wright. No previous familiarity with the subject will be assumed.