BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH Aachen)
DTSTART:20220210T133000Z
DTEND:20220210T142000Z
DTSTAMP:20260416T062938Z
UID:WSTGRT/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WSTGRT/2/">R
 esults on abundance of global surfaces of section for Reeb flows</a>\nby U
 mberto Hryniewicz (RWTH Aachen) as part of Workshop on Singularity Theory\
 , Geometry and Related Topics\n\n\nAbstract\nOne might ask if global surfa
 ces of section (GSS) for Reeb flows in dimension 3 are abundant in two dif
 ferent senses. One might ask if GSS are abundant for a given Reeb flow\, o
 r if Reeb flows carrying some GSS are abundant in the set of all Reeb flow
 s. In this talk\, answers to these two questions in specific contexts will
  be presented. First\, I would like to discuss a result\, obtained in coll
 aboration with Florio\, stating that there are explicit sets of Reeb flows
  on which are right-handed in the sense of Ghys\; in particular\, for such
  a flow all finite (non-empty) collections of periodic orbits span a GSS. 
 Then\, I would like to discuss genericity results\, obtained in collaborat
 ion with Colin\, Dehornoy and Rechtman\, for Reeb flows carrying a GSS\; a
 s a particular case of such results\, we prove that a $C^\\infty$-generic 
 Reeb flow on an arbitrary closed 3-manifold carries a (rational) GSS.\n
LOCATION:https://researchseminars.org/talk/WSTGRT/2/
END:VEVENT
END:VCALENDAR