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A theory of the b-function in positive characteristic

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  • UserThomas Bitoun (Oxford)
  • ClockWednesday 24 February 2016, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

Building on earlier work of Mustata, we present a construction in noncommutative nonnoetherian algebra that should be understood as a positive characteristic analogue of the b-function. Recall that the b-function or Bernstein-Sato polynomial is a polynomial in one variable attached to an analytic function f. It is a fundamental object in D-module theory and is well-known to be related to the singularities of f. We will start by briefly recalling the complex theory. 

This talk is part of the Algebra and Representation Theory Seminar series.

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