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.

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

References in corpus (2)

• Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety
• On the K-theory stable bases of the Springer resolution

Cited by in corpus (1)

• Structure constants for Chern classes of Schubert cells