Speculations about homological mirror symmetry for affine hypersurfaces

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• Denis Auroux (University of California, Berkeley)
• Tuesday 15 August 2017, 10:00-11:00
• Seminar Room 1, Newton Institute.

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SYGW05 - Symplectic geometry - celebrating the work of Simon Donaldson

The wrapped Fukaya category of an algebraic hypersurface H in (C)^{n is conjecturally related via homological mirror symmetry to the derived category of singularities of a toric Calabi-Yau manifold whose moment polytope is determined by the tropicalization of H.  In this talk we will first explain the statement, and then discuss a conjectural enhancement to a “relative” version of homological mirror symmetry for the pair ((C})n, H). We will illustrate these ideas on simple examples such as pairs of pants.

This talk is part of the Isaac Newton Institute Seminar Series series.

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