Selberg plays ping-pong

Mathematical Conversations
Topic:Selberg plays ping-pong
Speaker:Christopher Brav
Affiliation:Member, School of Mathematics
Date:Wednesday, December 11
Time/Room:6:00pm - 7:00pm/West Bldg. Lect. Hall

We describe a method of Selberg for constructing fundamental domains for discrete groups of \(\mathrm{SL}(n,\mathbb R)\) in terms of trace inequalities. We show how these Selberg domains can be used to play ping-pong, establishing freeness of some hypergeometric monodromy groups.