MS Seminar (Mathematics - String Theory)

Speaker: Thomas Bitoun (Higher school of Economy, Moscow)
Title: D-modules and arithmetic: a theory of the b-function in positive characteristic
Date: Fri, Dec 12, 2014, 15:30 - 17:00
Place: Seminar Room B
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.