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数苑经纬讲坛(87):Lattice structure of vertex algebra

来源:
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发布时间:2026-05-29
报告时间:
2026年5月30日(周六)下午:14:00 - 17:00; 2026年5月31日(周日)上午:9:00 - 12:00
报告地点:
国交二号楼315会议室
报告人:
Naihuan Jing
报告人单位:
北卡罗莱纳州立大学
邀请人:
张健
摘要:
The integral form of VOA was well-studied by Dong and Griess for the finite auotmorphism group of VOA. We will show that the general divided powers of vertex algebras of lattice types preserve the integral forms spanned by Schur functions indexed by colored partitions. This provides an analog of Kostant's Z-forms and Lusztig's q-Z-form for lattice types VOA. We also show that the Garland operators preserve the integral forms.

Naihuan Jing(北卡罗莱纳州立大学)