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SUMMARY:Barak Weiss (Tel Aviv University)
DTSTART:20201216T121000Z
DTEND:20201216T133000Z
DTSTAMP:20260423T022712Z
UID:GDS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/19/">Erg
 odicity of rel foliations on the space of holomorphic one forms</a>\nby Ba
 rak Weiss (Tel Aviv University) as part of Geometry and Dynamics seminar\n
 \n\nAbstract\nThe rel foliation is a foliation of the moduli space of abel
 ian \ndifferentials obtained by "moving the zeroes of the one form while \
 nkeeping all absolute periods fixed". It has been studied in complex \nana
 lysis and dynamics under different names (isoperiodic foliation\, \nSchiff
 er variation\, kernel foliation). Until recent years the question \nof its
  ergodicity was wide open. Recently partial results were obtained \nby Cal
 samiglia-Deroin-Francaviglia and by Hamenstadt. In our work we \ncompletel
 y resolve the ergodicity question. Joint work in progress with \nJon Chaik
 a and Alex Eskin\, based on a far-reaching extension of a \ncelebrated res
 ult of Eskin and Mirzakhani.  All relevant notions will \nbe explained in 
 the lecture and no prior familiarity with dynamics on \nspaces of one form
 s will be assumed.\n
LOCATION:https://researchseminars.org/talk/GDS/19/
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