Stable bases of the Springer resolution and representation theory

Abstract

In this note, we collect basic facts about Maulik and Okounkov's stable bases for the Springer resolution, focusing on their relations to representations of Lie algebras over complex numbers and algebraically closed positive characteristic fields, and of the Langlands dual group over non-Archimedean local fields.

arXiv commentExpository article for the `International Festival in Schubert Calculus', Guangzhou, China, 2017

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• Structure constants for Chern classes of Schubert cells