Math @ Duke

Publications [#320662] of Leslie Saper
Papers Published
 Saper, L, Perverse sheaves and the reductive BorelSerre compactification,
in Hodge Theory and L²analysis, edited by Ji, L, vol. 39
(2017),
pp. 555581, International Press
(last updated on 2018/06/19)
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 BorelSerre
compactification of a Hermitian locally symmetric space as a tool to study
perverse sheaves on the BailyBorel compactification, a projective algebraic
variety. We sketch why the decomposition theorem holds for the natural map
between the reductive BorelSerre and the BailyBorel compactifications. We
demonstrate how to calculate extensions of simple perverse sheaves on the
reductive BorelSerre compactification and illustrate with the example of
Sp(4,R).


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