Lattice structure of modular vertex algebras

主题：Lattice structure of modular vertex algebras
主要内容：The integral lattice of VOA was constructed by Dong and Griess for finite automorphism group of the VOA. We will show that the general divided powers of vertex operators preserve the integral form spanned by Schur functions indexed by partition-valued functions, which generate an analog of the Kostant-Lusztig Z-form for the lattice VOA. In particular, we show that the Garland operators, counterparts of divided powers of Heisenberg elements in affine Lie algebras, also preserve the integral form. We also study the irreducible modules for the modular lattice vertex algebra.
专家姓名：景乃桓
工作单位：美国北卡州立大学
专长和学术成就：主要从事无限维李代数，量子群、表示论、代数组合和量子计算方面的研究工作。曾获德国洪堡学者，美国富尔布莱特学者，国家杰出青年基金（B类）等殊荣。在国际主要数学刊物上发表近百篇论文，编辑著作5部。景乃桓教授在对称函数方面的研究成果被国际上命名为“景氏算子”。
专家简介：景乃桓，美国耶鲁大学博士，美国北卡州立大学终身教授，博士生导师。
时间：2021-06-27 10:30:00
地点：海丰国际报告厅