BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Local Rigidity of Diagonally Embedded Triangle Groups
DTSTART;VALUE=DATE-TIME:20200302T133000Z
DTEND;VALUE=DATE-TIME:20200302T144500Z
DTSTAMP;VALUE=DATE-TIME:20200410T000502Z
UID:indico-event-5701@indico.math.cnrs.fr
DESCRIPTION:Recent work of Alessandrini-Lee-Schaffhauser generalized the t
heory of higher Teichmüller spaces to the setting of orbifold surfaces. I
n particular\, these authors proved that\, as in the torsion-free surface
case\, there is a "Hitchin component" of representations into PGL(n\,R) wh
ich is homeomorphic to a ball. They explicitly compute the dimension of Hi
tchin components for triangle groups\, and find that this dimension is pos
itive except for a finite number of low-dimensional examples where the rep
resentations are rigid. In contrast with these results and with the torsio
n-free surface group case\, we show that the composition of the geometric
representation of a hyperbolic triangle group with a diagonal embedding in
to PGL(2n\,R) or PSp(2n\,R) is always locally rigid.\n\nhttps://indico.mat
h.cnrs.fr/event/5701/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/5701/
END:VEVENT
END:VCALENDAR