Cohomology of Lie algebroids in the holomorphic and algebraic settings: theory and applications

• Grant number: 17/22091-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 01, 2018
• End date: April 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Paolo Piccione
• Visiting researcher: Ugo Bruzzo
• Visiting researcher institution: Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy
• 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

We will study problems related to Lie algebroic cohomology, which has a rich structure. In particular, we will search for connections with the theory of Lie groupoids and, more generally, with the theory of stacks. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BRUZZO, UGO; FINO, ANNA; FRE, PIETRO. The Kahler Quotient Resolution of C-3/Gamma Singularities, the McKay Correspondence and D=3N=2 Chern-Simons Gauge Theories. Communications in Mathematical Physics, v. 365, n. 1, p. 93-214, JAN 2019. (17/22091-9)