第十届清华三亚国际数学论坛- Hiraku Nakajima大师讲座(Master Lectures - Hiraku Nakajima)

2019-12-16 ~ 2019-12-18 813

Schedule

 

Master Lectures-Geometric Representation Theory and Quantum Field Theories, Dec.16-20, 2019.pdf

 

Master lectures


Hiraku Nakajima

 

IPMU, University of Tokyo

  

Title: Geometric Satake correspondences for Kac-Moody Lie algebras and
Coulomb branches of 3d N=4 gauge theories 


Abstract: The usual geometric Satake correspondence gives relation between geometry of affine Grassmannian of a complex reductive group and representation theory of its Langlands dual group. Recently we are trying to build a similar result for more general Kac-Moody Lie algebras, based on Coulomb branches of 3d N=4 gauge theories defined by Braverman, Finkelberg and myself mathematically rigorously. I will start with the historical account for the usual one, and then survey the current status of the generalization.