Seminar series
Date
Thu, 16 Apr 2015
Time
14:00 -
15:00
Location
N3.12
Speaker
Thomas Bitoun
Organisation
HSE Moscow
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.