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Characteristic Classes, Cobordism and Polar Varieties

Grant number: 22/15556-3
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: January 30, 2023 - February 12, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Thais Maria Dalbelo
Grantee:Thais Maria Dalbelo
Visiting researcher: Jean-Paul Michel Ildephonse Brasselet
Visiting researcher institution: Institut de Mathématiques de Marseille (I2M), France
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


During the visitor's stay, two main activities will be developed. The continuation of the project "Cobordism between Morse applications" that the researcher develops in collaboration with Brazilian researchers Marcelo José Saia, from UFSCAR, São Carlos, Alice Kimie Mia Libardi and Eliris Cristina Rizziolli, both from UNESP, Rio Claro. In addition, the visitor will give a course on polar manifolds relating such objects with characteristic classes in the cases of smooth manifolds and singular manifolds. This course will have a strong impact on researchers and graduate students from the Graduate Program in Mathematics at UFSCar, strengthening the local institution in its driving role in the study of singularities in Brazil. In addition, the benefits of this course will also be extremely important for researchers and students from institutions close to UFSCar, such as ICMC/Usp and Unesp in Rio Claro. We emphasize that the French institution CIMPA will contribute to this visit, paying the visitor's transport expenses. (AU)

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