The Hebrew University of Jerusalem|
Einstein Institute of Mathematics
|2010 Wolf Foundation Prize in Mathematics|
- 11:00-12:00 Prof. Shing-Tung Yau
- Heterotic String and Complex Monge-Ampere Equation
- 14:00-16:00 Prof. Dennis Sullivan (SUNY/CUNY Grad. Ctr)
- Stratifications of string spaces and corresponding algebraic topology
Abstract: In the paper "String Topology" with Moira Chas an algebra structure in the homology of the mapping space of a circle into a manifold was presented. This structure generalizes the intersection of cycles in a manifold. A different structure, also based on intersection - a Lie bracket, was derived in the equivariant homology of the mapping space. It turns out there is much more related structure to be found.
In this talk we will discuss these matters using natural partitions into strata of the space of generic mappings of one manifolds into the manifold being probed corresponding to the combinatorics of the self and mutual contact of these curves. This already seems interesting for paths in three space whose endpoints lie on a given knot or link. The latter discussion is work in progress with M.Sullivan designed to explain in terms of "string topology" knot or link invariants due to Lennie Ng which were in turn motivated by the theory of holomorphic curves. These curves lie in the cotangent bundle of three space with boundary on the Lagrangian submanifold consisting of cotangent vectors vanishing on the tangents to the knot or link.
Notice: This lecture is accompanied by a special geometry and topology seminar (Monday, May 10th, 12:00-13:30):
Prof. Moira Chas (SUNY): Minimal intersection of curves on surfaces
The seminar will serve as a good introduction to Sullivan's lecture.
- 16:30-17:30 Prof. Shing-Tung Yau
- Quasi-Local Mass in General Relativity
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Last updated: May 6th, 2010
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