Talk 7

Title: How to Isolate the Set of Zeros of Real Polynomials

Speaker:  Jean Fernandes Barros

Affiliation:  Universidade Estadual de Feira de Santana (UEFS)

Abstract: In this talk, using a different strategy from that adopted in Barros and Leandro (2020), we construct a finite covering that isolates the set of zeros of real polynomials in two variables, which we call a localization of the set of zeros of the polynomial. But, as before, the method used to obtain it is inspired by Vincent's Theorem and Descartes' Rule of Signs, via appropriate Möbius transformations.

Reference: 

[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)