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Global analysis on pseudomanifolds

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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., . (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., . (21/09534-4, 18/03721-4, 18/23202-1)