Holonomic D-modules, b-functions, and coadmissibility

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• Andreas Bode, University of Oxford
• Friday 09 February 2018, 15:00-16:00
• CMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

Since differentiation generally lowers exponents, it is straightforward that the ring C[x, x^-1] is a finitely generated module over the ring of differential operators C[x, d/dx]. This innocent looking fact has been vastly generalized to a statement about holonomic D-modules, using the beautiful theory of Bernstein’s b-function (or Bernstein—Sato polynomial). I will give a brief overview of the classical theory before discussing some recent developments concerning a p-adic analytic analogue. This is joint work with Konstantin Ardakov and Simon Wadsley.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

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