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Title:
On the Fukaya category of a Fano hypersurface in projective space

Speaker:
Nick Sheridan

Abstract:
We will outline a partial calculation of the Fukaya category of a Fano hypersurface in projective space. This gives us a proof of part of Kontsevich's homological mirror symmetry conjecture in this case. We will also explain how it is possible to extract some well-known Gromov-Witten invariants (such as the 27 lines on a cubic surface) from our partial calculation of the Fukaya category.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=190

Workshop:
Simons- Program: Low Dimensional Topology (Fall 2012)