應yl7703永利官網(wǎng)邀請，四川大學數(shù)學學院盧明副教授將于2023年4月14日---17日訪問我校，并作線下學術報告。歡迎屆時參加。

報告題目：Derived Hall algebras of root categories

時間：4月15日(周六)上午08:30

地點：理工樓631報告廳

報告摘要： The root category of a hereditary abelian category is a 2-periodic triangulated category, which has deep connections to Lie algebra and quantum group. In about 2006, Toen, Xiao and Xu introduced derived Hall algebras for triangulated categories satisfying some finiteness conditions, and they expressed great interest to define derived Hall algebras for root categories. This work is to solve this question. We define a derived Hall algebra of the root category by counting the triangles, which is proved to be isomorphic to the Drinfeld double of Hall algebra. When applied to the Jordan quiver or elliptic curves, these algebras provide categorical realizations of the Drinfeld double of the ring of symmetric functions and also double affine Hecke algebras. This is joint work with Jiayi Chen and Shiquan Ruan.

報告人簡介

盧明，四川大學副教授，國家人才計劃（青年學者），研究興趣為代數(shù)表示論與李理論。目前主要從事量子群和i-量子群的Hall代數(shù)實現(xiàn)和幾何實現(xiàn)的研究，在Proc. London Math. Soc, Adv. Math, Comm. Math.Phys., Selecta Math., Trans. AMS等數(shù)學雜志上發(fā)表30余篇論文。

甘肅應用數(shù)學中心

yl7703永利官網(wǎng)

萃英學院

2023年4月13日