Smoothing surface singularities via mirror symmetry

Tuesday, November 17, 2009 -
4:30pm to 6:30pm
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, and builds on work of Gross-Siebert and Gross-Pandharipande-Siebert.
Paul Hacking
University of Massachusetts, Amherst
Event Location: 
Fine Hall 322