Perverse sheaves and the reductive Borel-Serre compactification


Book Section (Chapter)

We briefly introduce the theory of perverse sheaves with special attention to the topological situation where strata can have odd dimension. This is part of a project to use perverse sheaves on the topological reductive Borel-Serre compactification of a Hermitian locally symmetric space as a tool to study perverse sheaves on the Baily-Borel compactification, a projective algebraic variety. We sketch why the decomposition theorem holds for the natural map between the reductive Borel-Serre and the Baily-Borel compactifications. We demonstrate how to calculate extensions of simple perverse sheaves on the reductive Borel-Serre compactification and illustrate with the example of Sp(4,R).

Full Text

Duke Authors

Cited Authors

  • Saper, L

Cited Editors

  • Ji, L

Published Date

  • 2017

Volume / Issue

  • 39 /

Book Title

  • Hodge Theory and L²-analysis

Start / End Page

  • 555 - 581

Published By

Place of Publication

  • Somerville, MA