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 nth coefficient is given by the Poincare polynomial of nth 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.
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Speaker: Gilyoung Cheong
Institution: University of Michigan
Event Organizer:
