Smoothing of cusp singularities via mirror symmetry

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• Mark Gross (UCSD)
• Wednesday 01 July 2009, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

In joint work with Paul Hacking and Sean Keel, we prove a conjecture of Looijenga. Cusp singularities, surface singularities whose minimal resolution is a cycle of rational curves, come in dual pairs. Looijenga’s 1982 conjecture stated that a cusp singularity was smoothable if and only if the dual cusp could be found on a rational surface. We use techniques developed by myself and Siebert to prove this conjecture.

This talk is part of the Algebraic Geometry Seminar series.

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