|Date: Friday, November 03, 2017
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: Factorization statistics and the twisted Grothendieck-Lefschetz formula
Abstract: What's the average number of roots of a degree d polynomial? How many irreducible quadratic factors do we expect a degree d squarefree polynomial to have? If the polynomials have coefficients in a finite field F_q, then these questions make sense. In this talk we discuss the surprising connection between the answer to these sorts of question and the representation theoretic structure of the cohomology of configuration spaces.
Speaker: Trevor Hyde
Institution: University of Michigan