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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:20060038  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Fundamental local equivalences in quantum geometric Langlands
Speaker(s): Gurbir Dhillon
Abstract: In quantum geometric Langlands, the Satake equivalence plays a less prominent role than in the classical theory. Gaitsgory--Lurie proposed a conjectural substitute, later termed the fundamental local equivalence, relating categories of arc-integrable Kac--Moody representations and Whittaker D-modules on the affine Grassmannian. With a few exceptions, we verified this conjecture non-factorizably, as well as its extension to the affine flag variety. This is a report on joint work with Justin Campbell and Sam Raskin.
Date: 22/06/2020 - 3:15 pm
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