Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Fourier Analysis of Word Maps
Speaker: Ori Parzanchevski, Institute for Advanced Study
Date: Thursday, February 6, 2014 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
Let G be a finite group. How many times is an element g obtained as a commutator in G? Namely, how many solutions are there to the equation x*y*x^-1*y^-1=g ? In 1886 Frobenius gave a striking answer to this question in terms of the character theory of the G. But for a general word w replacing the commutator word x*y*x^-1*y^-1, surprisingly little is known. I will show some examples and survey old and recent results, including recent joint works with Doron Puder and Gili Schul.