Thursday, January 3 2019
15:30 - 16:30

#### We consider the Lie group G= SU(n,1), resp. Sp(n,1), that acts bythe isometries of the n-dimensional complex, resp. quaternionic hyperbolicspace. We classify pairs of semisimple elements in G up to conjugacy.  Thisgives local parametrization of a representation $\rho$ in Hom(F_2, G)/G suchthat both $\rho(x)$ and $\rho(y)$ are semisimple elements, where $F_2$ is afree group generated by x and y.

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