Title of Seminar: Algebraic Geometry Preprint Seminar 2022
Title of Talk: Bernstein-Sato theory for singular rings in positive characteristic
Speaker: Sudeshna Roy, TIFR, Mumbai
Date: April 5, 2023
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The Bernstein-Sato polynomial is a classical invariant which measures the singularities of the zero-locus of a holomorphic function in a very subtle way. The theory surrounding the Bernstein-Sato polynomial is vast. However, in this talk, we will sketch some features of the theory of Bernstein-Sato polynomials relating to commutative algebra. Our main aim is to discuss a version of the theory for singular ambient rings in positive characteristic, developed in the article https://arxiv.org/abs/2110.00129v2 by Jack Jeffries, Luis Núñez-Betancourt and Eamon Quinlan-Gallego. We will outline some finiteness and rationality results for Bernstein-Sato roots and give a brief overview of how they encode some information about other classes of numerical invariants.
Title of Talk: Bernstein-Sato theory for singular rings in positive characteristic
Speaker: Sudeshna Roy, TIFR, Mumbai
Date: April 5, 2023
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The Bernstein-Sato polynomial is a classical invariant which measures the singularities of the zero-locus of a holomorphic function in a very subtle way. The theory surrounding the Bernstein-Sato polynomial is vast. However, in this talk, we will sketch some features of the theory of Bernstein-Sato polynomials relating to commutative algebra. Our main aim is to discuss a version of the theory for singular ambient rings in positive characteristic, developed in the article https://arxiv.org/abs/2110.00129v2 by Jack Jeffries, Luis Núñez-Betancourt and Eamon Quinlan-Gallego. We will outline some finiteness and rationality results for Bernstein-Sato roots and give a brief overview of how they encode some information about other classes of numerical invariants.