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Tropical Structures in Geometry and Physics |
| November 30, 2009 to December 04, 2009 |
| Organized By: Mark Gross ( University of California San Diego), Kentaro Hori (University of Toronto), Viatcheslav Kharlamov (Université de Strasbourg (Louis Pasteur), Richard Kenyon* (Brown University) |
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| Parent Programs: |
| Tropical Geometry |
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| Return to Workshop Description |
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Smoothing surface singularities via mirror symmetry
Friday December 4, 2009
11:00AM - 12:00PM
Speakers:
Paul Hacking
Abstract:
We use the Strominger-Yau-Zaslow interpretation of mirror
symmetry to describe deformations of surface singularities in terms of
counts of holomorphic curves and discs on a mirror surface, which are
computed tropically. In particular we prove Looijenga's conjecture on
smoothability of cusp singularities. This is joint work with Mark
Gross and Sean Keel, and builds on work of Gross-Siebert and
Gross-Pandharipande-Siebert.
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