Uploaded April 2026 | Updated September 2026, 3 weeks ago
Joint IAS/PU Groups and Dynamics Seminar
4:30pm|Simonyi 101
Topic: The Weigold--Goldman Conjecture for Compact Lie Groups
Speaker: Tsachik Gelander
Affiliation: Northwestern University
Date: April 28, 2026
Let n greater than 2. Weigold conjectured that if G is a finite simple group then the product replacement graph on n-generating tuples is connected (which also implies that it is an expander for n greater than 3). This conjecture is still (wide) open. I will discuss analog problems when G is a compact Lie group. More precisely, I will present the little that I know and speculate about stronger conjectures that I cannot prove.
Joint IAS/PU Groups and Dynamics Seminar
4:30pm|Simonyi 101
Topic: The Weigold--Goldman Conjecture for Compact Lie Groups
Speaker: Tsachik Gelander
Affiliation: Northwestern University
Date: April 28, 2026
Let n greater than 2. Weigold conjectured that if G is a finite simple group then the product replacement graph on n-generating tuples is connected (which also implies that it is an expander for n greater than 3). This conjecture is still (wide) open. I will discuss analog problems when G is a compact Lie group. More precisely, I will present the little that I know and speculate about stronger conjectures that I cannot prove.
