Math 865 Advanced Topics in Geometry (Fall 2016)
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Lectures
Lectures are by
Jeff Viaclovsky on Tuesdays and Thursdays
at 01:00-02:15 PM in Van Vleck B113.
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Recommended Textbooks
- Foundations of Differentiable Manifolds and Lie Groups by Warner.
- Differential Geometry Volumes I & II by Spivak.
- Differential Geometric Structures by Poor.
- Differential Analysis on Complex Manifolds by Wells.
- Foundations of Differential Geometry Volume I & II by Kobayashi and Nomizu.
- Einstein Manifolds by Besse.
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Mailing List
The class mailing list is math865-1-f16 "at" lists.wisc.edu.
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Selected Topics
- Review of differentiable manifolds and curvature.
- Bochner and Weitzenbock Formulas.
- Moving Frames calculations.
- More advanced topics, such as Einstein metrics, complex manifolds, and Kahler geometry.
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Lectures