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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Fundamental domains in n real variables, and associated Dirac operators
by
John Ryan
Department of Mathematics, University of Arkansas, Fayetteville, AR 72701, USA
Coauthors: E. Bulla, D. Constales and R. S. Krausshar

In this talk a construction of Ahlfors using Clifford algebras is used to introduce in n-real variables analogues of fundamental domains associated with the modular group and its subgroups. A Dirac operator for hyperbolic space is introduced and its properties of this operator in the context of these conformally flat manifolds are described.

Date received: March 31, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqo-70.