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DTSTAMP:20250803T031713Z
DESCRIPTION:Title: Local rigidity of diagonally embedded triangle groups.\n
 \nAbstract: In studying moduli spaces of representations of surface groups
 \, and more generally of hyperbolic groups\, triangle groups are simple ex
 amples which can provide insight into the more general theory. Recent work
  of Alessandrini–Lee–Schaffhauser generalized the theory of higher Teichmü
 ller spaces to the setting of orbifold surfaces\, including triangle group
 s. In particular\, they defined a 'Hitchin component' of representations i
 nto PGL(n\,R) which is homeomorphic to a ball and consists entirely of dis
 crete and faithful representations. They compute the dimension of Hitchin 
 components for triangle groups\, and find that this dimension is positive 
 except for a finite number of low-dimensional examples where the represent
 ations are rigid. In contrast with these results and with the torsion-free
  surface group case\, we show that the composition of the geometric repres
 entation of a hyperbolic triangle group with a diagonal embedding into PGL
 (2n\,R) or PSp(2n\,R) is always locally rigid.\n\n \n\nThis information ca
 n also be found on the seminar website. We hope to see you all there\n\nLi
 nk: https://mcgill.zoom.us/j/98910726246?pwd=VHlzTzdTZGtqcHVuWGNKdys4d0FzQ
 T09\n\nZoom ID: 989 1072 6246\n	Password: delta\n
DTSTART:20210127T200000Z
DTEND:20210127T210000Z
SUMMARY:Jean-Philippe Burelle (Université de Sherbrooke)
URL:/mathstat/channels/event/jean-philippe-burelle-uni
 versite-de-sherbrooke-327952
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