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Joint LA Topology Seminar

Monday, April 2, 2018
5:00pm to 6:00pm
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East Bridge 201 (Richard P. Feynman Lecture Hall)
Symplectic geometry as topology of odd sphere bundles
Li-Sheng Tseng, Department of Mathematics, UC Irvine,
We will motivate the consideration of odd-dimensional sphere bundles over symplectic manifolds where the Euler class of the fiber bundles is given by powers of the symplectic structure. The topological invariants of these odd sphere bundles are directly related to the symplectic invariants of the base manifold. We will describe how we can use such a relation to reinterpret symplectic invariants as topological invariants of the higher dimensional odd sphere bundles, and also, how topological methods to study the odd sphere bundles can point to new methods to study symplectic geometry. This talk is based on a joint work with Hiro Tanaka.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].