Home /  Fellowship of the Ring, National Seminar: A characteristic-free definition of holonomic D-modules

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)
Parent Program: --
Location: SLMath: Online/Virtual
Speaker(s) Gennady Lyubeznik (University of Minnesota Twin Cities)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

A Characteristic-Free Definition Of Holonomic D-Modules

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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A Characteristic-Free Definition Of Holonomic D-Modules

H.264 Video 25297_28855_8592_A_Characteristic-Free_Definition_of_Holonomic_D-Modules.mp4