题目:A Categorification of Subword Complexes and its Hall Algebra
报告人:李子骏,圣埃蒂安大学(Université Jean Monnet Saint-Étienne)
时间:2026年1月7日(星期三)16: 00-17: 00
地点:东区第五教学楼5506教室
摘要:Subword complexes are combinatorial objects associated with words in Coxeter groups. In this talk, we give a categorification of subword complexes. The root-independent subcategory is proto-abelian, which allows us to define its Hall algebra.
As an application we show that the Hall algebra induced by a symmetry-breaking exact structure in type A_n categorizes the universal enveloping algebra and is closely related to quiver representations over F_1.
报告人简介:李子骏,圣埃蒂安大学(Université Jean Monnet Saint-Étienne) 博士生二年级,中法数学英才班2019级/2023届学生。
