Crystal bases and categorifications

Abstract

This is a survey paper of the theory of crystal bases, global bases and the cluster algebra structure on the quantum coordinate rings.

This is submitted to Poceedings of ICM18

References in corpus (3)

• 2-Kac-Moody algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Purity for graded potentials and quantum cluster positivity