Palestras e Seminários
De 22/09/2020 à 21/09/2020
11:00
meet.google.com/pzv-bcbu-vvs
Palestrante: Eaman Eftekhary
Responsável: Ali Tahzibi (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Mathematics Colloquium Interinstitucional (ICMC-USP, IMPA and IPM)
Abstract: The counting problem for closed geodesics over negatively curved manifolds, and more generally, for closed orbits of Anosov flows is studied extensively in the literature. However, when the metric is not negatively curved, or when the flow of a vector field is not Anosov, closed geodesics/orbits are not isolated and there are some obstacles for defining a well-behaved count function. We discuss some of these obstructions. In particular, we introduce a function which assigns an integer weight to every compact and open subset of the space of closed geodesics for arbitrary Riemannian metrics over closed manifolds.
