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The bifurcation locus of polynomial maps

Grant number: 24/06739-2
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Start date: February 01, 2025
End date: January 31, 2026
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Francisco Braun
Grantee:Rodrigo Thomaz da Silva
Supervisor: Mihai Marius Tibar
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Institution abroad: Université De Lille, France  
Associated to the scholarship:23/09684-1 - Topology of polynomial maps through their bifurcation locus, BP.DR

Abstract

This project aims to study the bifurcation set of a real polynomial function in two real variables and also its connections with other mathematical problems. The project is divided into two main parts: the bifurcation set and its characterization in terms of vanishing and splitting at infinity phenomena and Lipschitz equivalence of real and also complex polynomial functions.

News published in Agência FAPESP Newsletter about the scholarship:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)