BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Marcelo Alves: "Hofer's geometry and braid stability"
DTSTART;VALUE=DATE-TIME:20230125T130000Z
DTEND;VALUE=DATE-TIME:20230125T140000Z
DTSTAMP;VALUE=DATE-TIME:20230324T195200Z
UID:indico-event-8939@indico.math.cnrs.fr
DESCRIPTION:The Hofer’s metric dH is a remarkable bi-invariant metric
on the group of Hamiltonian diffeomorphisms of a symplectic manifold. In
my talk\, I will explain a result\, obtained jointly with Matthias Meiwes
\, which says that the braid type of a set of periodic orbits of a Hamilto
nian diffeomorphism on a closed surface is stable under perturbations that
are sufficiently small with respect to Hofer’s metric. As a consequen
ce of this we obtained that the topological entropy\, seen as a function o
n the space of Hamiltonian diffeomorphisms of a closed surface\, is lower
semi-continuous with respect to the Hofer metric dH. If time permits
\, I will explain related questions for Reeb flows on 3-manifolds and Hami
ltonian diffeomorphisms on higher-dimensional symplectic manifolds\, and r
ecent progress on these problems obtained by myself\, Meiwes\, Abror Pirna
pasov and Lucas Dahinden.\n\nhttps://indico.math.cnrs.fr/event/8939/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/8939/
END:VEVENT
END:VCALENDAR