Tue, February 24, 2026
1:50 pm - 2:50 pm
Enarson Classroom Building 354
Inhyeok Choi
KIAS
Title
Random subgraphs of the mapping class group
Abstract
In percolation theory, one samples a random subgraph of a given graph by independently deleting each edge with probability 1-p. Benjamini and Schramm asked if a Cayley graph is nonamenable if and only if there exists a number p such that the random p-subgraph has infinitely many unbounded components. In this talk, I will explain an answer to this conjecture for the mapping class group and irreducible cubical groups. This is joint work with Donggyun Seo.