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Minimum covolume lattices in quaternionic hyperbolic space

Geometry/Topology

Speaker: Inkang Kim
Location: 2112 MSB
Start time: Tue, Apr 17 2018, 1:10PM

Abstract: For any n > 1, we determine the uniform and nonuniform lattices of the smallest covolume in the Lie group Sp(n, 1). We explicitly describe them in terms of the ring of Hurwitz integers in the nonuniform case with n even, respectively, of the icosian ring in the uniform case for all n > 1. This is a joint work with Vincent Emery.



Pizza will be served from noon to 1 pm in MSB 2112.