Circle actions, coherent Springer theory and classical Springer theory

Harrison Chen (Academia Sinica)

24-Feb-2023, 07:00-08:30 (13 months ago)

Abstract: Coherent Springer theory is related to the representation theory of p-adic groups, and involves the study of certain coherent sheaves on moduli stacks of Langlands parameters, whose unipotent part is the derived loop space of the equivariant nilpotent cone. On the other hand, classical Springer theory is related to the representation of finite groups of Lie type, and involves the study of certain constructible sheaves on the equivariant nilpotent cone itself. Passing between the two involves equivariant localization, imposition of circle equivariance, and a Koszul duality. In the first part of this talk, we will give a gentle introduction to circle actions with many examples. In the second part, we will describe how this provides the mechanism for passing between coherent and constructible sheaves.

algebraic geometryrepresentation theory

Audience: researchers in the topic


Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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Organizers: Quoc Ho*, Qingyuan Jiang*
*contact for this listing

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