MS Seminar (Mathematics - String Theory)

Speaker: Fan Qin (Shanghai Jiao Tong University)
Title: An introduction to cluster algebras and their bases
Date (JST): Thu, Oct 14, 2021, 10:30 - 12:00
Place: Zoom
Related File: 2723.pdf
Abstract: We give a brief introduction to (quantum) cluster algebras and several important families of their bases. We will discuss examples and topological models, and briefly mention how to interpret the bases in additive or monoidal categorification. Then we discuss how to relate the bases to the tropical points (of the cluster varieties). Finally, we introduce the common triangular basis as a generalization of the dual canonical basis (upper global basis) in cluster theory.