Non-arithmetic uniformization of metric spaces attached to unitary Shimura varieties

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Atahualpa Olivier Daniel de Gaay Fortman

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 4 Jan. 2023

Abstract

We develop a new method of constructing non-arithmetic lattices in the projective orthogonal group \(\text{PO}(n,1)\) for every integer \(n\) larger than one. The technique is to consider anti-holomorphic involutions on a complex arithmetic ball quotient, glue their fixed loci along geodesic subspaces, and show that the resulting metric space carries canonically the structure of a complete real hyperbolic orbifold. The volume of various of these non-arithmetic orbifolds can be explicitly calculated.

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Non-arithmetic uniformization of metric spaces attached to unitary Shimura varieties. / de Gaay Fortman, Atahualpa Olivier Daniel.
2023.

Publikation: Arbeitspapier/Preprint › Preprint

de Gaay Fortman, A. O. D. (2023). Non-arithmetic uniformization of metric spaces attached to unitary Shimura varieties. Vorabveröffentlichung online.
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