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Abstract: In 1994, James Arthur published a formula for the Lefschetz number of
the action of a Hecke operator on L2 cohomology. His formula is expressed
in group-theoretic terms: centralizers of elliptic elements, discrete
series characters, etc. This talk will provide some background on Hecke
operators and L2 cohomology, and then describe a purely topological approach
to this problem which eventually yields geometrical intepretations for each
of the terms in Arthur's formula.
This is joint work with R. MacPherson
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