Talk 1

Title: An extension of Vincent's theorem: what it is and how it works

Speaker:  Jean Fernandes Barros

Affiliation:  Professor, Universidade Estadual de Feira de Santana 

Abstract: In this talk, we expound the technique used to obtain the results found in reference [2]. The technique is based on an extension of Vincent's Theorem for real polynomials in one variable to real polynomials in several variables. as can be seen in [1].

References: 

[1] Barros, J.F., Leandro, E.S.G.: Localization of real hypersurfaces with applications to the enumeration of the classes of relative equilibria of a (5+1)-body problem. J. Math. Anal. Appl. 485, 115 (2020)

[2] Barros, J.F. Bifurcations and enumeration of central congurations of some planar restricted problems. Celest Mech Dyn Astron 135, 12 (2023)