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Seminar

Fellowship of the Ring, National Seminar: A characteristic-free definition of holonomic D-modules October 22, 2020 (12:00 PM PDT - 02:00 PM PDT)
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Location: MSRI: Online/Virtual
Speaker(s) Gennady Lyubeznik (University of Minnesota Twin Cities)
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Abstract/Media

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Abstract:

Most of the theory of D-modules has been developed only in characteristic zero. This includes holonomic modules. Some candidates for holonomic modules in characteristic p>0 have been proposed using definitions specific to characteristic p>0. The first characteristic-free definition of holonomicity was given in 2010 by the speaker, but only for modules over polynomial rings. In the talk I am going to describe an extension of this definition to arbitrary non-singular varieties.

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