Sigma Models and Phase Transitions

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• Emily Clader (ETH Zurich)
• Wednesday 24 February 2016, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Tyler Kelly.

The Landau-Ginzburg/Calabi-Yau (LG/CY) correspondence is a proposed equivalence between two enumerative theories associated to a homogeneous polynomial: the Gromov-Witten theory of the hypersurface cut out by the polynomial in projective space, and the Landau-Ginzburg theory of the polynomial when viewed as a singularity. Such a correspondence was originally suggested by Witten in 1993 as part of a far-reaching conjecture relating the “gauged linear sigma models” arising at different phases of a GIT quotient. I will discuss an explicit formulation and proof of Witten’s proposal for complete intersections in projective space, generalizing the LG/CY correspondence for hypersurfaces and introducing a number of new features. This represents joint work with Dustin Ross.

This talk is part of the Algebraic Geometry Seminar series.

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