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SUMMARY:Javier Ribon (UFF)
DTSTART:20210505T183000Z
DTEND:20210505T200000Z
DTSTAMP:20260423T021605Z
UID:BRAG/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/43/">Lo
 cal foliations with closed leaves</a>\nby Javier Ribon (UFF) as part of Br
 azilian algebraic geometry seminar\n\n\nAbstract\nOur goal is describing t
 he leaf space of local holomorphic foliation whose leaves are closed in a 
 neighborhood of the origin. By considering the holonomy groups associated 
 to leaves\, it is necessary to study the finitely generated groups of loca
 l biholomorphisms whose orbits are closed (or equivalently finite) in some
  neighborhood of the origin. We show that for such groups\, there is alway
 s an analytic curve through the origin that is contained in the fixed poin
 t set of a finite index subgroup. Moreover\, we outline the properties of 
 the linear part of a local diffeomorphism with finite orbits. The result p
 rovides a stability result à la Reeb in intermediate dimension for dimens
 ion one foliations defined in the neighborhood of a compact invariant curv
 e. This is a joint work with Lucivanio Lisboa and some of the results are 
 part of his PhD thesis.\n
LOCATION:https://researchseminars.org/talk/BRAG/43/
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