PIRSA:20060027  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Tate's thesis in the de Rham setting
Speaker(s): Sam Raskin
Abstract: This is joint work with Justin Hilburn. We will explain a theorem 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 systems on the punctured disc equipped with a flat section. Time permitting, we will also describe an application of this result in the global setting. Our results may be understood as a geometric refinement of Tate's ideas in the setting of harmonic analysis. They also may be understood as a proof of a strong form of the 3d mirror symmetry conjectures: our results amount to an equivalence of A/B-twists of the free hypermultiplet and a U(1)-gauged hypermultiplet.
Date: 22/06/2020 - 2:00 pm
Valid XHTML 1.0!