Green functions via hyperbolic localization
Copyright policy )Green functions via hyperbolic localization
Let G be a reductive algebraic group, with nilpotent cone \mathcal N and flag variety \mathcal B . We construct an exact functor from perverse sheaves on \mathcal N to locally constant sheaves on \mathcal B , and we use it to study Ext-groups and stalks of simple perverse sheaves on \mathcal N in terms of the cohomology of \mathcal B .
- Louisiana State University United States
Representation theory for linear algebraic groups, Group schemes, perverse sheaves, Sheaves, derived categories of sheaves, etc., Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), reductive algebraic groups, Coadjoint orbits; nilpotent varieties, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), FOS: Mathematics, cohomology, nilpotent cones, Representation Theory (math.RT), Cohomology theory for linear algebraic groups, hyperbolic localizations, Mathematics - Representation Theory
Representation theory for linear algebraic groups, Group schemes, perverse sheaves, Sheaves, derived categories of sheaves, etc., Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), reductive algebraic groups, Coadjoint orbits; nilpotent varieties, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), FOS: Mathematics, cohomology, nilpotent cones, Representation Theory (math.RT), Cohomology theory for linear algebraic groups, hyperbolic localizations, Mathematics - Representation Theory
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