|Date: Friday, November 10, 2017
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Rationality of Topological Zeta Functions
Abstract: We will try our best to carefully read an old paper of MacDonald in 50 minutes, which computes the generating function whose n-th coefficient is given by the Poincare polynomial of n-th symmetric power of a fixed topological space. MacDonald's clever proof uses representation theory of symmetric groups. If you want to know how easy this talk will be, I am new to representation theory, still learning the material. Thus, there won't be any elaborate techniques, except one cohomology theorem due to Grothendieck, which we will blackbox. For me, this is a motivating example why I should care about representation theory, so I hope this provides a concrete application for the audience as well. Ignore the title if you don't care about Weil conjectures, but otherwise, skim through Ravi Vakil's notes in Arizona Winter School 2015, as I won't explain why I chose such a weird title.
Speaker: Gilyoung Cheong
Institution: University of Michigan