Back to Algebraic Geometry Seminar: Spring 2025
Algebraic Geometry Seminar
Date: Monday, Mar 17, 2025
Time: 3:30PM - 4:30PM
Location: LCB 225
Title |
Geometry of Bernstein-Sato ideals |
Abstract |
In studying Mellin transforms of multivariable polynomial maps, Gelfand defined the so-called Archimedean zeta function of a polynomial and conjectured that the archimedean zeta function has an meromorphic continuation on the whole complex plane in 1950s. Bernstein introduced the so-called Bernstein-Sato polynomial and solved the conjecture in 1970s. In this talk, I will discuss how we can extend the constructions for a finite union of polynomial maps by defining Bernstein-Sato ideals. Then I will discuss some conjectures about the algebro-geometric properties of such ideals and what we know about them. |
Algebraic Geometry