From interacting particle systems to topological data analysis
An adaptation of homology theory to problems of topological pattern recognition
Grant number: | 19/00623-4 |
Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
Start date until: | March 01, 2019 |
End date until: | April 30, 2022 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Daniel Vendrúscolo |
Grantee: | Nathan Lubawski |
Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
Associated research grant: | 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM |
Abstract We intend to do a systematic stud of simplicial homology theory. After that some classical applications will be discussed, in particular the definition of degree of a continues map (at least for self-maps of the sphere), the Brower's fixed point theorem and Lefschetz's fixed point theorem. | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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