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.

该项目涉及简单代数群体中的nilpotent锥的几何形状。具体而言，目标是研究（也许分类）某些奇异性作为（横向）切片的相互作用，即在地下域具有积极特征的情况下，以简单代数群体为单位代数的nilpotent轨道闭合。可以在小组本身中提出类似的问题，以封闭轨道。