Back to Commutative Algebra Seminar: Fall 2021
Commutative Algebra Seminar
Date: Tuesday, Nov 2, 2021
Time: 2:00PM
Location: LCB 222
Eamon Quinlan-Gallego
University of Utah
Title |
Bernstein-Sato theory in positive characteristic |
Abstract |
Given a holomorphic function f, its Bernstein-Sato polynomial is a classical invariant that detects the singularities of the zero locus of f in very subtle ways; for example, its roots recover the log-canonical threshold of f and the eigenvalues of the monodromy action on the cohomology of the Milnor fibre. In this talk I will describe a characteristic-p analogue of this invariant and some recent developments that I proved in my thesis. I will also describe some open problems and future directions that I am working on at the moment. |
Commutative Algebra