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SUMMARY:From character varieties to isoperiodic foliations: a transfer pri
nciple
DTSTART;VALUE=DATE-TIME:20140930T133000Z
DTEND;VALUE=DATE-TIME:20140930T143000Z
DTSTAMP;VALUE=DATE-TIME:20191213T155701Z
UID:indico-contribution-933@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bertrand DEROIN (Paris)\nSchiffer variations are sur
gery operations that takes an abelian differential on a curve to another o
ne with the same periods. Viewed in the moduli space of abelian differenti
als of a fixed genus g>=2\, they draw a complex algebraic foliation of dim
ension 2g-3\, called the isoperiodic foliation. Its transverse structure i
s modelled on an open set contained in the group of complex periods\, on w
hich the mapping class group acts via the symplectic group. We will see th
at the (rich) dynamical properties of this latter are also satisfied by th
e isoperiodic foliation: this phenomenon is what we call the transfer prin
ciple. The fact that it holds relies on the connectivity of certain moduli
spaces of abelian differentials on curves with prescribed periods.\nThis
is a work in collaboration with Gabriel Calsamiglia and Stefano Francavigl
ia.\n\nhttps://indico.math.cnrs.fr/event/201/contributions/933/
LOCATION:International Center for Theoretical Physics Adriatico Building\,
Kastler Lecture Hall
URL:https://indico.math.cnrs.fr/event/201/contributions/933/
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