数学学科2026系列学术报告之十九

　　报告题目：On the number of Scopes chambers for minimal categorification  of type

　　报告人：林煌（悉尼大学）

　　报告时间：6月18号10：00-11：00

　　报告地点：理学院1-301

　　报告摘要：Chuang and Rouquier construct derived equivalences between the weight blocks of categorigal -action and show that they induce abelian equivalences (called Scopes equivalences) when they are t-exact . Webster classifies these Scopes classes by chambers of a finite hyperplane arrangement when  is of affine type. This is a generalization of the m-generalized Catalan arrangement. In this talk, we describe a Scopes chamber via the abacus of its distinguished representative alcove, which in turn enables us to count the number of Scopes chambers easily.

　　报告人简介：林煌，澳大利亚悉尼大学博士后。在Hecke代数、KLR代数、量子群、晶体基以及范畴化等方面取得了一系列原创性的成果。 相关成果发表在《INTERNATIONAL MATHEMATICS RESEARCH NOTICES》，《JOURNAL OF ALGEBRA》，《JOURNAL OF PURE AND APPLIED ALGEBRA》等国际知名数学杂志上。主持国家自然科学青年基金一项。