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Session 15. Groups and Topology
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Primitive geodesic lengths and (almost) arithmetic progressions |
Jean-Francois Lafont, The Ohio State University, U.S.A.
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The talk is based on the joint work with Ben McReynolds
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I will present some results on the arithmetic structure within
the set of lengths of primitive geodesics in spaces of negative
(or non-positive) curvature. For example, one can always find "almost"
arithmetic progressions. In contrast, genuine arithmetic progressions
seem quite rare. I will explain how to find such arithmetic progressions
in the special case of arithmetic locally symmetric spaces.
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