Global analysis on pseudomanifolds

• Grant number: 21/09534-4
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2022
• End date: February 29, 2024
• 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
• City of the host institution: São Carlos

Abstract

Since the famous Index Theorem of Atiyah and Singer, the relation between tools from different areas of Mathematics has applications in different lines of research. We propose the investigation of geometric/analytical elements of manifolds and pseudomanifolds, such as spectral invariants and geometric analysis. This project is a continuation of FAPESP Project 2018/23202-1. (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)