Hyperbolicity of Random Branched Coverings
BSU Mathematics Seminar — Fall 2025
- When
- Monday, November 10, 2025 • 3:00–4:00 PM
- Where
- DMF 461, Bridgewater State University
- Speaker
- Hyeran Cho (Tufts University) — joint work with Jean-François Lafont (The Ohio State University) and Rachel Skipper (The University of Utah)
- Format
-
Blackboard talk. Embedded recording above. Direct link:
MP4 (Dropbox). - Organizers
-
Vignon Oussa (VOUSSA@bridgew.edu) •
Xiangfei “Fei” Chen (X10CHEN@bridgew.edu) •
Mahmoud El-Hashash (MELHASHASH@bridgew.edu)
Abstract
In this talk, I introduce a random model for an n-fold branched cover of a finite 2-complex X with mild hypothesis, and investigate its structural and probabilistic properties. In particular, we show that as n goes to infinity, a random branched cover asymptotically almost surely is homotopy equivalent to a 2-complex satisfying geometric small cancellation.
Short Bio
Hyeran Cho is a postdoctoral scholar at Tufts University, working with Geneviève Walsh. Her research focuses on Geometric Group Theory and Topology.
Questions? Contact an organizer:
Vignon Oussa,
Xiangfei (Fei) Chen,
Mahmoud El-Hashash.