Workshop on "Teichmüller theory and surfaces in 3-manifolds"
timetable:
Fri 13 Jun, 14:30 - 15:30, Aula Dini
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Maximal representations of complex hyperbolic lattices in SU(m,n)
speaker: Maria Beatrice Pozzetti (ETH Zürich)abstract: Let G be a lattice in SU(1,p). Maximal representations of G in SU(m,n) are those homomorphisms that maximize the generalized Toledo invariant, a cohomological invariant that extends the well studied Toledo invariant for representations of fundamental groups of surfaces into Lie groups of Hermitian type. We show that, if p is greater than one, interesting rigidity phenomena appear: the only Zariski dense maximal representation of G in SU(m,n), with n greater than m, is the lattice embedding in SU(1,p). This allows to prove that the restriction to G of the diagonal embedding of SU(1,p) in SU(m,pm+k) is locally rigid.
timetable:
Fri 13 Jun, 14:30 - 15:30, Aula Dini
<< Go back