Analytic torsion and its geometric interpretation in natural spaces
Reidemeister torsion and analytic torsion of spaces with conical singularities
Invariant manifolds and limit periodic sets of discontinuous foliations
| Grant number: | 21/09534-4 |
| Support Opportunities: | Regular Research Grants |
| Duration: | March 01, 2022 - 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 |
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)
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