Department of Mathematics,
University of California San Diego
****************************
Math 211B - Group Actions Seminar
Professor Benjamin Dozier
Cornell University
The boundary of a totally geodesic subvariety of moduli space
Abstract:
The moduli space of genus g Riemann surfaces equipped with the Teichmuller metric exhibits rich geometric, analytic, and dynamical properties. A major challenge is to understand the totally geodesic submanifolds -- these share many properties with the moduli space itself. For many decades, research focused on the one (complex) dimensional case, i.e. the fascinating Teichmuller cuves. The discovery of interesting higher-dimensional examples in recent years has led to new questions. In this talk, I will discuss joint work with Benirschke and Rached in which we study the boundary of a totally geodesic subvariety in the Deligne-Mumford compactification, showing that the boundary is itself totally geodesic.
Host: Brandon Seward
May 8, 2025
10:00 AM
APM 7321
Research Areas
Ergodic Theory and Dynamical Systems****************************
