Algebraic and Topological Combinatorics

Special Session at the Spring Eastern Section Meeting
of the American Mathematical Society

Courant Institute, New York, NY
April 12-13, 2003



Ruth Kellerhals
(Universite Fribourg)


Combinatorial-topological aspects of hyperbolic volume


Abstract: We shall give a survey about combinatorial-topological aspects of non-euclidean polyhedral volume. In even dimensions, for example, volume reduction formulae first discovered by Ludwig Schläfli in 1852 lead to combinatorial number sequences and arithmetic questions in a natural way. At the end, we will mention some open problems around non-euclidean volume computations.

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last updated: April 3, 2003