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Paul Hacking : Mirror symmetry and deformations of surface singularities

Posted by , part of the Algebraic Geometry Seminar.

At
March 18, 2010, 4 p.m.
In
SEO 636
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. In particular we prove Looijenga's conjecture on smoothability of cusp singularities. This is joint work with Mark Gross and Sean Keel.