Matemática

CSA 2016 - International Conference on Semigroups and Automata

Os Professores Jorge Almeida (Universidade do Porto) e Gracinda Gomes (Universidade de Lisboa) desempenharam ao longo dos anos um papel extraordinário no desenvolvimento da teoria de semigrupos e autómatos em Portugal e têm tido o reconhecimento inequívoco de toda a comunidade internacional nesta área, quer pelas suas contribuições científicas, quer por terem impulsionado a chamada escola portuguesa de semigrupos.

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).

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