Surface subgroups in uniform lattices of some semisimple Lie groups

Abstract: It is proved that any uniform lattice in a simple complex Lie group G contains a surface group. This theorem is a generalization of the celebrated Kahn-Markovic Theorem which deals with the case of G=PSL(2, C). [This is joint work with Jeremy Kahn and Francois Labourie.]

algebraic geometrydifferential geometrygroup theorygeometric topologynumber theory

Audience: general audience

International Conference on Discrete groups, Geometry and Arithmetic

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