Math @ Duke
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Publications [#320662] of Leslie Saper
Papers Published
- Saper, L, Perverse sheaves and the reductive Borel-Serre compactification,
in Hodge Theory and L²-analysis, edited by Ji, L, vol. 39
(2017),
pp. 555-581, International Press
(last updated on 2024/03/28)
Abstract: 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).
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