BASIC NOTIONS SEMINAR: Modular groups over the quaternions and their corresponding four dimensional hyperbolic orbifolds and manifolds
Starts 13 Sep 2018 16:00
Ends 13 Sep 2018 17:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
Abstract: Using the rings of Lipschitz and Hurwitz integers in the quaternion division algebra of the quaternions we define several Kleinian discrete subgroups of isometries of hyperbolic 4-space. These groups are a quaternionic versions of the classical modular group and Picard group. The quotients of hyperbolic 4-space by the action of these groups give examples of arithmetic orbifolds which are finitely covered by very interesting arithmetic hyperbolic 4-manifolds of finite volume.
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