A theory of the bfunction in positive characteristic
Thomas Bitoun
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When 
Jun 09, 2015 from 01:15 pm to 02:15 pm 
Where  Mainz, 05432 (Hilbertraum) 
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Abstract:
We exhibit a construction in noncommutative nonnoetherian algebra that should be understood as a positive characteristic analogue of the BernsteinSato polynomial or bfunction. Recall that the bfunction is a polynomial in one variable attached to an analytic function f. It is wellknown 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.