BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Michele Triestino (Dijon)
DTSTART:20220308T140000Z
DTEND:20220308T160000Z
DTSTAMP:20260423T023042Z
UID:WienGAGT/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/9/"
 >Describing spaces of harmonic actions on the line</a>\nby Michele Triesti
 no (Dijon) as part of Vienna Geometry and Analysis on Groups Seminar\n\n\n
 Abstract\nConsidering actions of a given group on a manifold can be seen a
 s a nonlinear version of classical representation theory. In this context\
 , there is a well-developed theory for actions on one-manifolds\, in contr
 ast to the situation for higher-dimensional manifolds\, where the situatio
 n is still at the level of exploration. This is mainly due to the tight re
 lation to the theory of orderable groups\, which has no analogue in higher
  dimension.\n\nHow to describe all possible actions on the line of a given
  group? For finitely generated groups\, one can consider the space of harm
 onic actions\, whose existence is based on a result of Deroin-Kleptsyn-Nav
 as-Parwani. This turns out to be a compact space endowed with a translatio
 n flow\, whose space of orbits gives exactly the space of all semi-conjuga
 cy classes of actions on the line without global fixed points.\n\nWe are a
 ble to understand the space of harmonic actions for solvable groups and ma
 ny locally moving groups (including Thompson's F and generalizations): the
  actions of these groups which are not the obvious ones\, are all obtained
  from actions on planar real trees fixing a point at infinity. This talk i
 s based on a joint project with J Brum\, N Matte Bon and C Rivas.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/9/
END:VEVENT
END:VCALENDAR