Higher Structures in Geometry and Mathematical Physics

• Grant number: 20/12018-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2020
• End date: 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.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

VALENCIA, FABRICIO; VAREA, CARLOS. Invariant Generalized Almost Complex Structures on Real Flag Manifolds. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, n. 12, p. 40-pg., 2022-12-01. (20/07704-7, 20/12018-5)

ORTIZ, CRISTIAN; VAREA, CARLOS. Complex Dirac structures with constant real index on flag manifolds. Annali di Matematica Pura ed Applicata, v. 203, n. 3, p. 22-pg., 2024-06-01. (20/12018-5, 16/23746-6)