Hyperbolicity of Random Branched Coverings

Hyperbolicity of Random Branched Coverings

BSU Mathematics Seminar — Fall 2025

Recording: Hyperbolicity of Random Branched Coverings (MP4, Dropbox)
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.