Classical-quantum mechanical systems symmetric by the action of a Lie group
Special invariant metrics on Lie groups and their compact quotients
| Grant number: | 20/12018-5 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | October 01, 2020 |
| Effective date (End): | May 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Claudio Gorodski |
| Grantee: | Carlos Augusto Bassani Varea |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM |
Abstract The project investigates symmetries of Lie groupoids up to Morita equivalence, providing a good notion of symmetries in the setting of differentiable stacks. We pay special attention to two different problems, namely, the Marsden-Weinstein reduction of Hamiltonian actions of Lie 2-groups on pre-symplectic Lie groupoids and the equivariant cohomology of a Lie 2-group action on a Lie groupoid. | |
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