Title: Minimal exponents of singularities
Speaker: Mihnea Popa
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:
The minimal exponent of a function is the negative of the largest root of its reduced Bernstein-Sato polynomial. It refines the notion of log canonical threshold, and it is related (sometimes conjecturally) to other important invariants, for instance the Igusa zeta function. I will describe some results towards understanding minimal exponents, based on viewing them in the context of D-modules and Hodge theory on one hand, and birational geometry on the other. This is joint work with Mircea Mustata.Date: Monday, June 03, 2019