SAGO Seminar ’Tate’s thesis in the de Rham setting’ Sam Raskin (The University of Texas at Austin) Tuesday 4 August 11:00am -12:30pm (AEST) Online via Zoom 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 in a special case. This lecture will be self-contained, not requiring any pretalks. Registration: https://uni-sydney.zoom.us/meeting/register/tJ0qcu-gpjwvHtHuYo0LAy_7DWQ8BemkUr55 You will be sent a confirmation email with the Zoom details prior to the event. (Please email smri.admin@sydney.edu.au if you do not receive the email with the link ~24 hours before the event)