Spectral invariants on pseudomanifolds

• Grant number: 18/23202-1
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2019
• End date: February 28, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Luiz Roberto Hartmann Junior
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant(s): 19/08834-4 - Classifying spaces and tensor products for manifolds with $\R$-actions, AP.R SPRINT

Abstract

We propose the study of the spectral geometry and the geometric/analytic elements involved in spectral invariants of singular spaces with the aim to obtain a geometric/topological description of this invariant. We still propose the study of these invariants in an abstract context. (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)

HARTMANN, LUIZ; LESCH, MATTHIAS. Zeta and Fredholm determinants of self-adjoint operators. JOURNAL OF FUNCTIONAL ANALYSIS, v. 283, n. 1, p. 27-pg., 2022-07-01. (18/23202-1, 21/09534-4)

BARRETO, ALEXANDRE P.; COSWOSCK, FABIANI A.; HARTMANN, LUIZ. Curvature estimates for graphs in warped product spaces. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 86, p. 21-pg., 2023-01-13. (21/09534-4, 18/03721-4, 18/23202-1)

BARRETO, ALEXANDRE PAIVA; FONTENELE, FRANCISCO; HARTMANN, LUIZ. On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. N/A, p. 8-pg., 2021-09-06. (18/23202-1, 18/03721-4, 19/20854-0)