### Mirror symmetry for affine Calabi-Yaus

**Keel, S ***(Texas)*

Monday 06 June 2011, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

I will explain my recent conjecture joint with Hacking and Gross, and theorem in dimension two, which gives the mirror to an affine CY manifold of any dimensions as the Spec of an explicit algebra: The algebra comes with a basis parameterized by a Generalisation of Thurston's boundary sphere to Teichmuller space, and a multiplication rule in terms of counts of rational curves.

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