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| The goal is to understand Stolz' work on the existence of positive scalar curvature metrics. There is a proposed syllabus and several articles:Bulletin article, Annals article, Trieste notes.
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| Outline |
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Jan 21: Stephan Stolz, An introduction to the existence problem for positive scalar curvature metrics. Feb 4: Jian Ge, Curvature of homogeneous spaces and Cheeger deformations. Feb 11: Jian Ge, Curvature of homogeneous spaces and Cheeger deformations II. Feb 18: Gun??, Bordism and surgery. Feb 25: ??, The Atiyah-Singer index theorem. Mar 4: Ryan??, Hitchins alpha invariant. Mar 18: Daniel Cibotaru, K-theory for C^*-algebras. Mar 25: Daniel?, The Gromov-Lawson-Rosenberg conjecture. Apr 1: Ryan Grady, Cohomology operations and the Steenrod algebra. Apr 8: Ryan Grady, The Adams spectral sequence. Apr 15: Ryan Grady, Proving the simply connected case. |