For more information about this meeting, contact Nigel Higson, Ping Xu, Mathieu Stienon.
| Title: | Localization formulae in odd K-theory |
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| Seminar: | Noncommutative Geometry Seminar |
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| Speaker: | Daniel Cibotaru, Notre Dame |
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| Abstract: |
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| In the mid 80's Singer asked for a generalization of the spectral flow to higher dimensions. We describe a class of real Banach manifolds, each classifying K_1. These are certain Grassmannians of (hermitian) Lagrangian subspaces in a Hilbert space. We build geometric representatives for the generators of the cohomology rings of these spaces. Given an S^1-family self-adjoint, Fredholm operators, in transversal conditions, the pull-back via the classifying map of the first such generator is Poincare dual to the spectral flow. We describe the localization formulae which hold for the higher cohomology classes. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 26 / 2009 |
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| Time: | 02:30pm - 03:30pm |
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