邀请人：张海诚 副教授
腾讯会议：292917045
摘要： We briefly introduce the (common) triangular basis for quantum cluster algebras, which is naturally parametrized by the tropical points. For quantum unipotent cells of symmetrizable Kac-Moody type, we show that the dual canonical basis agrees with the common triangular basis up to scalar multiples. As a consequence, the quantum cluster monomials belong to the dual canonical basis up to scalar multiples. We will also discuss the relation between the common triangular basis and monoidal categorification.
报告人简介: 覃帆，上海交通大学女王调教
。2012年博士毕业于巴黎七大。研究方向为代数表示论，在量子群和量子丛代数等领域做出了有国际影响力的工作，研究成果发表于Trans. Amer. Math. Soc.，Duke Math. J.，Compos. Math.，Int. Math. Res. Not. IMRN，Adv. Math.，J. Reine Angew. Math.等国际著名杂志。