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Seminar Series by John Morgan

Title: A Further Look at Verdier Duality
Program Website: Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry
Speaker: John Morgan
Date: Friday, January 09, 2015
Time: 02:45pm – 04:15pm
Place: Seminar Room 313, Simons Center

 

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Abstract: We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

After this discussion we will begin to construct stratified spaces with complexes of sheaves isomorphic to their Verdier duals.