Cobordism of Spaces an Maps Smooth an Singular cases (Jean Paul Brasselet)

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Cobordism of Spaces an Maps Smooth an Singular cases

Plática dada por Jean Paul Brasselet (CNRS Institut de Mathématiques de Marseille, France) en el evento Singularities in generic geometry and its applications: Valencia V, para celebrar el 60 aniversario de Federico Sánchez Bringas el miércoles 2 agosto del 2017 en el Auditorio Carlos Graef del Amoxcalli en la Facultad de Ciencias de la UNAM

Abstract:
This is a lecture on a join work with Alice Libardi and Eliris Rizziolli from UNESP, Rio Claro and Marcelo Saia, USP, S˜ao Carlos, Brasil. In order to extend the theory of cobordism of maps between smooth manifolds to maps between singular spaces, one meet various obstacles. On the one hand, one has to consider suitable maps and spaces, namely so-called normally nonsingular maps and Witt spaces. On the other hand, the Stiefel-Whitney classes cannot be generalized in ordinary homology, one has to consider intersection homology in order to be able to multiply such classes in the singular case. In such a situation, the authors prove some results such as null-cobordism implies the vanishing of Stiefel-Whitney numbers. In the
lecture motivations and basic definitions and properties for singular spaces will be recalled.

Video de la plática
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Jean Paul Brasselet en el Institut de Mathématiques de Luminy
UMR 6206 du CNRS
http://iml.univ-mrs.fr/fiche/Jean-Paul_Brasselet.html
http://iml.univ-mrs.fr/editions/biblio/bib-brasselet.html

Jean Paul Brasselet en Google Scholar
https://scholar.google.com/citations?user=xAKh1vcAAAAJ&hl=es

Jean Paul Brasselet en ResearchGate
https://www.researchgate.net/profile/Jean_Paul_Brasselet

Jean Paul Brasselet en Mathematics Genealogy Project
http://genealogy.math.uni-bielefeld.de/id.php?id=120661

Jean Paul Brasselet en arXiv
https://arxiv.org/find/math/1/au:+Brasselet_J/0/1/0/all/0/1

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