Está aqui

/ Matemática /
Voltar ao Topo

Matemática

Min-max theory in Geometry

André Neves
Imperial College London

Abstract: Min-max theory was recently used by myself and Fernando Marques to prove the Willmore Conjecture, the Freedman-He-Wang Conjecture, and the Yau Conjecture for metrics with positive Ricci curvature. I will survey those results and talk about new directions in the area.

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.

Elementary approach to closed billiard trajectories in asymmetric normed spaces

Arseniy Akopyan
IST Austria

Abstract: We apply the technique of Karoly Bezdek and Daniel Bezdek to study the billiards in convex bodies, when the length is measured with a (possibly asymmetric) norm. We give elementary proofs of some known results and prove an estimate for the shortest closed billiard trajectory, related to the nonsymmetric Mahler problem. (joint work with A. M. Balitskiy, R. N. Karasev, and A. Sharipova).

Mini-courses on Dynamics and Differential Equations

"KAM theory and Celestial Mechanics", por Alessandra Celletti, "Topological degree and periodic solutions of ODEs" por Fabio Zanolin e "Geometrical ideas in mechanics from Archimedes to Hamilton, Einstein, Poincaré and beyond", por Mark Levi, são três mini-cursos de Primavera e Verão em breve no Departamento de Matemática.

Os cursos são dirigidos sobretudo a alunos de mestrado e doutoramento em Matemática e Física, mas abertos a todos os interessados.

A inscrição é gratuita, mediante inscrição prévia por e-mail.

Páginas