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Higher Structures in Geometry and Mathematical Physics

Grant number: 20/12018-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): October 01, 2020
Effective date (End): June 30, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Claudio Gorodski
Grantee:Carlos Augusto Bassani Varea
Home 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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