Smoothing of cusp singularities via mirror symmetry
- đ¤ Speaker: Mark Gross (UCSD)
- đ Date & Time: Wednesday 01 July 2009, 14:15 - 15:15
- đ Venue: MR13, CMS
Abstract
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.
Series This talk is part of the Algebraic Geometry Seminar series.
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Mark Gross (UCSD)
Wednesday 01 July 2009, 14:15-15:15