BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH-Aachen): Reeb flows in dimension three wi
th exactly two periodic orbits
DTSTART;VALUE=DATE-TIME:20210517T130000Z
DTEND;VALUE=DATE-TIME:20210517T135000Z
DTSTAMP;VALUE=DATE-TIME:20220924T171500Z
UID:indico-contribution-5346@indico.math.cnrs.fr
DESCRIPTION:In this talk I will present a complete characterization of Ree
b flows on closed 3-manifolds with precisely two periodic orbits. The main
step consists in showing that a contact form with exactly two periodic Re
eb orbits is non-degenerate. The proof combines the ECH volume formula wit
h a study of the behavior of the ECH index under non-degenerate perturbati
ons of the contact form. As a consequence\, the ambient contact 3-manifold
is a standard lens space\, the contact form is dynamically convex\, the R
eeb flow admits a rational disk-like global surface of section and the dyn
amics are described by a pseudorotation of the 2-disk. Moreover\, the peri
ods and rotation numbers of the closed orbits satisfy the same relations a
s (quotients of) irrational ellipsoids\, and in the case of S^3 the transv
erse knot-type of the periodic orbits is determined. Joint work with Crist
ofaro-Gardiner\, Hutchings and Liu.\n\nhttps://indico.math.cnrs.fr/event/5
787/contributions/5346/
LOCATION:ZOOM (En ligne)
RELATED-TO:indico-event-5787@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/5787/contributions/5346/
END:VEVENT
END:VCALENDAR