O Programa de Pós-Graduação em Matemática e Estatística convida a comunidade acadêmica a participar da palestra intitulada: “Geometric and analytic results for Einstein solitons”. O qual será ministrada no próximo dia 20/03/2024 (Quarta-Feira), às 10 horas, na Sala de aula do mestrado, com o Prof. Dr. José Nazareno Vieira Gomes, da Universidade Federal de São Carlos.

Resumo: In this talk, we compute a lower bound for the scalar curvature of a gradient Einstein soliton under a certain assumption on its potential function. We establish an asymptotic behavior of the potential function on a noncompact gradient shrinking Einstein soliton. As a result, we obtain the finiteness of its fundamental group and its weighted volume. We also prove some geometric and analytic results for constructing gradient Einstein solitons that are realized as warped metrics, and we give a few explicit examples. This is a joint work with Enrique Fernando López Agila - Escuela Superior Politécnica del Litoral, Guayaquil, Ecuador.