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Junior Geometry
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Rok Gregoric, Zoom: D-modules and shiny things
Tuesday, September 29, 2020, 03:45pm - 04:45pm
Flat connections, also known as local systems, are of importance in various areas of math. They are important in representation theory, and mathematical physics, to name only a few. A light generalization are D-modules, which come equipped with an action by differential operators. Many of us in this Seminar, and our advisors even more so, deal with D-modules in characteristic 0 on a nigh-daily basis. In this talk, we will take a journey through the theory of D-modules in positive characteristic, focusing on some particularly interesting phenomena that occur and set it apart from the more-familiar theory in characteristic zero (Frobenius descent, crystals). If time permits, we will end on a version of the Riemann-Hilbert correspondence in that context, due to Emmerton-Kisin and Bhatt-Lurie.
Location: Zoom

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