Crystal bases and categorifications – Chern medal lecture. (English) Zbl 1441.17014
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249-258 (2018).
Summary: This is a survey of the theory of crystal bases, global bases and cluster algebra structure on the quantum coordinate rings.
For the entire collection see [Zbl 1436.00059].
For the entire collection see [Zbl 1436.00059].
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 13F60 | Cluster algebras |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 17-02 | Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras |
| 13-02 | Research exposition (monographs, survey articles) pertaining to commutative algebra |
| 81-02 | Research exposition (monographs, survey articles) pertaining to quantum theory |
