# Colloquium

## Solving equations in finite simple groups

Michael Larsen, Indiana U

Thursday, April 12th, 2018
3:30 PM - 4:30 PM
Hylan 1106A

The Ore conjecture (now a theorem) asserts that the equation $xyx^{-1} y^{-1} = g$ can be solved for x and y in any finite simple group G for any fixed g in G. This typifies the equations in the title. I will discuss what is known and what remains open when it comes to solving equations in the limit as G becomes large.

Event contact: dinesh dot thakur at rochester dot edu