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Back to Departmental Colloquium: Spring 2025

Departmental Colloquium


Date: Thursday, Mar 20, 2025

Time: 4:00PM - 5:00PM

Location: JWB 335


Jesse Wolfson

UC Irvine

Title

Hodge theory and resolvent problems

Abstract

How hard is it to solve a degree 7 polynomial? How complicated is a branched cover, an algebraic group, a local system? Resolvent problems, e.g. Hilbert’s 13th problem, form a rich and challenging framework for asking these questions, and one that both invites and resists ideas and methods from Hodge theory (classical and p-adic). In this talk, I’ll try to give the audience a sense of this area, what we can say, and what we are still possibly very far from being able to answer. Much of this is joint work with Benson Farb and Mark Kisin.

Applied Mathematics

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