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SUMMARY:Leonardo Macarini (Instituto Superior Técnico\, Universidade de L
 isboa)
DTSTART:20230103T160000Z
DTEND:20230103T170000Z
DTSTAMP:20260423T022719Z
UID:Geolis/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/106/"
 >Symmetric periodic Reeb orbits on the sphere</a>\nby Leonardo Macarini (I
 nstituto Superior Técnico\, Universidade de Lisboa) as part of Geometria 
 em Lisboa (IST)\n\n\nAbstract\nA long standing conjecture in Hamiltonian D
 ynamics states that every contact form on the standard contact sphere $S^{
 2n+1}$ has at least $n+1$ simple periodic Reeb orbits. In this talk\, I wi
 ll consider a refinement of this problem when the contact form has a suita
 ble symmetry and we ask if there are at least $n+1$ simple symmetric perio
 dic orbits. We show that there is at least one symmetric periodic orbit fo
 r any contact form and at least two symmetric closed orbits whenever the c
 ontact form is dynamically convex. This is joint work with Miguel Abreu an
 d Hui Liu.\n
LOCATION:https://researchseminars.org/talk/Geolis/106/
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