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math.DG2000
L^2-invariants of locally symmetric spaces
Martin Olbrich
We explain how the Harish-Chandra Plancherel Theorem and results in relative Lie algebra cohomology can be used in order to compute in a uniform way the -Betti numbers, the No…
math.DG2000
Hodge theory on hyperbolic manifolds of infinite volume
Martin Olbrich
Let be a quotient of the hyperbolic space by the action of a discrete convex-cocompact group of isometries. We describe certain spaces of -invariant currents…
math.DG2000
Towards the trace formula for convex-cocompact groups
U. Bunke, M. Olbrich
We derive a formula for the regularized trace of operators with compact spectrum which act on the space of square integrable functions on the quotient of a semisimple Liegroup of r…