中科院数学与系统科学研究院
数学研究所
学术报告会
报告人:覃帆 博士(University of Strasbourg)
题 目:Monoidal categorifications and triangular bases of quantum cluster algebras
时 间:12.02 (星期三) , 15:30-16:30
地 点:数学院南楼N820室
摘要:
In this talk, I will give an introduction of the cluster algebras arising from the representation theory of quantum affine algebras. I will construct a common triangular basis of such a cluster algebra, which is parametrized by the tropical points. The construction implies the monoidal categorification conjecture of Hernandez-Leclerc and, in this situation, the Fock-Goncharov conjecture.