Compactifying the category of D-modules on the stack of G-bundles

Dima Arinkin (University of Wisconsin)

21-Oct-2020, 20:30-21:30 (3 years ago)

Abstract: Let X be a projective curve, G a reductive group. Let Bun be the stack of G-bundles over X, and consider the category of D-modules on Bun. (This category appears on the “automorphic” side of the geometric Langlands correspondence.) Drinfeld and Gaitsgory prove that, despite the “unbounded” (non-quasi compact) nature of Bun, the category of D-modules is well-behaved (compactly generated).

In this talk, we will “compactify” this category in a stronger sense; this can be viewed as compactifying the quantized cotangent bundle to Bun. While the basic idea of such compactification goes back to ideas of Deligne and Simpson, its construction relies on non-trivial properties of the geometry of Bun (similar to the Drinfeld-Gaitsgory Theorem).

representation theory

Audience: researchers in the topic


MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.

Organizers: André Lee Dixon*, Ju-Lee Kim, Roman Bezrukavnikov*
*contact for this listing

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