Nilpotent singularities in positive characteristic

正特征的幂零奇点

• 批准号: 2601034
• 金额: --
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2601034
• 关键词: Nilpotent; singularities; positive; characteristic

This project is concerned with the geometry of nilpotent cones in Lie algebras of simple algebraic groups. Specifically, the goal will be to study (perhaps classify) certain singularities arising as intersections of (transverse) slices to nilpotent orbit closures in Lie algebras of simple algebraic groups, in the case where the ground field has positive characteristic. Similar questions can be asked for unipotent orbit closures in the groups themselves.

本项目研究单代数群的李代数中幂零锥的几何。具体来说，目标将是研究（也许分类）某些奇点所产生的交叉（横向）切片的幂零轨道封闭在李代数的简单代数群，在这种情况下，地面场具有积极的特点。类似的问题也可以在群本身的幂幺轨道闭包中提出。