Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
Representation Theory
2025-10-09 v1 Quantum Algebra
Rings and Algebras
Exactly Solvable and Integrable Systems
Abstract
In this lecture, we survey a number of recent results and developments regarding the representation theory of infinite-dimensional quantum groups (quantum affine algebras and related algebras), as well as their connections with cluster categorification and quantum integrable models. We will also give new examples and conjectures.
Keywords
Cite
@article{arxiv.2510.06437,
title = {Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models},
author = {David Hernandez},
journal= {arXiv preprint arXiv:2510.06437},
year = {2025}
}
Comments
To appear in the proceedings of the ICM 2026