CV Lattes
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Itália
Mauro Spreafico in research grants and scholarships supported by FAPESP.
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We study the geometry of "non-integral" bundles and gerbes with connection. Such objects naturally arise as trivializations of flat gerbes in the abelian case, and we try to investigate, at least for vector bundles, the non-abelian generalization. We then discuss the relations between differential cohomology classes and non-integral gerbes, and the relations between non-integral bundles a…
We study the analytic torsion of a cone over a compact connected Riemannian manifold. In particular, our aim is to prove some extension of the Cheeger-Müller theorem.
We study the analytic torsion for a manifold with a singularity of conical type.
The aim of this project is to continue the investigation on the zeta functions of the $S$-sequences started in my recent works (ref. 26, 27, 28), and to apply the techniques developed to the following three types of problems: relative zeta determinants and perturbation determinants, analytic torsion, relative zeta determinants and spectral analysis on non compact spaces. In particular, in…
| 1 / 0 | Completed research grants |
| 4 / 3 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 7 / 5 | All research grants and scholarships |
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