Personal tools
You are here: Home Events A theory of the b-function in positive characteristic

A theory of the b-function in positive characteristic

— filed under:

Thomas Bitoun

What
  • Seminar
When Jun 09, 2015
from 01:15 pm to 02:15 pm
Where Mainz, 05-432 (Hilbertraum)
Add event to calendar vCal
iCal

Abstract:

We exhibit a construction in noncommutative nonnoetherian algebra that should be understood as a positive characteristic analogue of the Bernstein-Sato polynomial or b-function. Recall that the b-function is a polynomial in one variable attached to an analytic function f. It is well-known to be related to the singularities of f and is useful in continuing a certain type of zeta functions, associated with f. We will briefly recall the complex theory and then emphasize the arithmetic aspects of our construction.