Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | math |
Date | Monday 2 March 2020 |
Time | 14:30 |
Institute | IHES |
Seminar Room | Amphithéâtre Léon Motchane |
Speaker's Last Name | Burelle |
Speaker's First Name | Jean-Philippe |
Speaker's Email Address | |
Speaker's Institution | Université de Sherbrooke |
Title | Local Rigidity of Diagonally Embedded Triangle Groups |
Abstract | Recent work of Alessandrini-Lee-Schaffhauser generalized the theory of higher Teichmüller spaces to the setting of orbifold surfaces. In particular, these authors proved that, as in the torsion-free surface case, there is a "Hitchin component" of representations into PGL(n,R) which is homeomorphic to a ball. They explicitly 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 representations are rigid. In contrast with these results and with the torsion-free surface group case, we show that the composition of the geometric representation of a hyperbolic triangle group with a diagonal embedding into PGL(2n,R) or PSp(2n,R) is always locally rigid. |
arXiv Preprint Number | |
Comments | Séminaire Géométrie et groupes discrets |
Attachments |
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