院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

表示论研讨班

Speaker:陈学庆 教授 (University of Wisconsin-Whitewater)

Inviter:方明

Language: Chinese

Title: Cluster algebras and monoidal categorification

Time & Venue: 2025721日(星期一) 15:30-16:30 &南楼N820

Abstract:  Cluster algebras, introduced by Fomin and Zelevinsky, are combinatorial-algebraic structures with profound connections to diverse areas of mathematics. Monoidal categorification provides a powerful framework to realize cluster algebras within the Grothendieck rings of tensor categories. This expository talk will survey how cluster structures emerge naturally in representation theory, with emphasis on Hernandez-Leclerc’s work on module categories of quantum affine algebras and Kang-Kashiwara-Kim-Oh’s work on module categories of quiver Hecke algebras. Some remarkable results will be highlighted.

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