Symplectic and Poisson geometry seminar - Ruben Louis (Jilin University & Goettingen University)
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- https://illinois.zoom.us/j/88272151400?pwd=VROvgCOb6Ov0VTajRaFlZKLnJlvthQ.1
- Date
- Dec 2, 2024 3:00 pm
- Speaker
- Ruben Louis - Jilin University & Goettingen University
- Contact
- Florian Zeiser
- fzeiser@illinois.edu
- Views
- 49
- Originating Calendar
- Algebra, Geometry, and Combinatorics Seminar
- Title: On Nash blowup of Lie algebroids and singular foliations
Abstract: We prove that any Lie algebroid A admits a Nash-type blow-up Nash(A) that sits in a nice short exact sequence of Lie algebroids 0 → K → Nash(A) → D → 0 with K a Lie algebra bundle and D a Lie algebroid whose anchor map is injective on an open dense subset. The base variety of Nash(A) is a blowup determined by the singular foliation of A. This construction is inspired by the work of O. Mohsen, applied in non-commutative geometry, and by a classical method developed by the mathematician J. Nash, primarily used in algebraic geometry for desingularization. We provide concrete examples.
https://arxiv.org/abs/2404.08840