Nilpotent singularities in positive characteristic

Lead Research Organisation: Lancaster University
Department Name: Mathematics and Statistics

Abstract

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.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/T518037/1 01/10/2020 30/09/2025
2601034 Studentship EP/T518037/1 01/10/2021 30/09/2025 Callum Berry