Dear all,

I would like to announce the following talk at the IPMU Mathematics-String theory seminar:

Speaker: Thomas Bitoun (Higher school of Economy, Moscow)
Date: Fri, Dec 12, 2014, 15:30 - 17:00
Place: Kavli IPMU, Seminar room B  


Title:
D-modules and arithmetic: a theory of the b-function in positive
characteristic.

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.


-----------------------------

Todor Eliseev Milanov
Assistant Professor
Kavli IPMU,  Japan

todor.milanov at ipmu.jp