The topological trace formula
classification
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math.AG
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correspondenceformulaheckelocallyspacesymmetricactionborel-serre
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The Lefschetz formula for the action of a Hecke correspondence on the weighted cohomology of a locally symmetric space is derived. It is also proven that each Hecke correspondence on the reductive Borel-Serre compactification of the locally symmetric space is weakly hyperbolic.
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