Tate’s thesis in the de Rham setting

Geometry, Symmetry and Physics
Event time: 
Monday, February 1, 2021 - 4:30pm
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
Sam Raskin
Speaker affiliation: 
UT Austin
Event description: 

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 in a special case.