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SUMMARY:Sam Raskin (University of Texas at Austin)
DTSTART:20200622T180000Z
DTEND:20200622T190000Z
DTSTAMP:20260424T133919Z
UID:GRT-2020/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GRT-2020/11/
 ">Tate's thesis in the de Rham setting</a>\nby Sam Raskin (University of T
 exas at Austin) as part of Geometric Representation Theory conference\n\n\
 nAbstract\nThis is joint work with Justin Hilburn. We will explain a theor
 em showing that $D$-modules on the Tate vector space of Laurent series are
  equivalent to ind-coherent sheaves on the space of rank 1 de Rham local s
 ystems on the punctured disc equipped with a flat section. Time permitting
 \, we will also describe an application of this result in the global setti
 ng. Our results may be understood as a geometric refinement of Tate's idea
 s in the setting of harmonic analysis. They also may be understood as a pr
 oof of a strong form of the 3d mirror symmetry conjectures: our results am
 ount to an equivalence of A/B-twists of the free hypermultiplet and a $U(1
 )$-gauged hypermultiplet.\n
LOCATION:https://researchseminars.org/talk/GRT-2020/11/
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