Cluster algebras with coefficients and relative Calabi-Yau structures
By Bernhard Keller
Categorified Crystal Bases on Localized Quantum Coordinate Rings and Cellular Crystals
By Toshiki Nakashima
Appears in collection : 2023 - T2 - Higher structures in geometry and mathematical physics
We will define essentially from scratch the 1d and 2d cohomological Hall algebras associated to quivers and curves or surfaces, and present some applications to representation theory and to geometry of the moduli spaces of sheaves on curves or surfaces.