Differential homology and cohomology, gerbes and applications
Resolutions and the group cohomology of the sapphire manifolds and of the virtuall...
On certain theories of cohomology of groups and applications
Grant number: | 17/25675-1 |
Support Opportunities: | Scholarships in Brazil - Doctorate |
Start date until: | May 01, 2018 |
End date until: | August 31, 2021 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Alice Kimie Miwa Libardi |
Grantee: | Marco Antonio de Freitas Contessoto |
Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
Associated scholarship(s): | 19/22023-9 - Persistent cohomology, BE.EP.DR |
Abstract One of the recent trends in the applied algebraic topology field has been the development of algorithmic techniques that can efficiently compute the persistence barcodes associated with a given simplicial tower K. There are very recent indications that ideas related to coomology often lead to algorithms that present higher memory efficiency and lower overall computational complexity in practical applications. At the same time, there are only isolated attempts to harnessing the full power of cohomological ideas.The objective of this work is to investigate the intersection between persistence and cohomological ideas and using the tools of applied algebraic topology to develop the theoretical machinery in persistent cohomology and also to explore the algorithmic and computational concepts. (AU) | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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