Math 274: Microlocal Geometry
This will be a seminar devoted to thinking microlocally. A potential goal is the microlocalization of homology. Core topics will include: tame topology; geometric models for homology and cohomology; constructible sheaves; nearby and vanishing cycles...
Useful sources:
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Mather, Notes on Topological Stability.
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Miller and van den Dries, Geometric categories and o-minimal structures.
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Goresky, Whitney stratified chains and cochains.
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Milnor, Singular Points of Complex Hypersurfaces.
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Massey, Notes on Perverse Sheaves and Vanishing Cycles.
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Kashiwara and Schapira, Sheaves on Manifolds.
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Goresky and MacPherson, Morse theory and intersection Homology theory.