English

The topological trace formula

Representation Theory 2007-05-23 v1 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0105038,
  title  = {The topological trace formula},
  author = {Mark Goresky and Robert MacPherson},
  journal= {arXiv preprint arXiv:math/0105038},
  year   = {2007}
}