Landau-Ginzburg models for Lagrangian Grassmannians

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• Clelia Pech
• Wednesday 13 March 2013, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

According to the framework of mirror symmetry, the mirror of a Fano manifold should be a Landau-Ginzburg model, which looks like a (non-compact) manifold endowed with a complex-valued potential function.

Recently, R. Marsh and K. Rietsch have found a new expression for the Landau-Ginzburg model of Grassmannians in terms of Pluecker coordinates, which they have used to find flat sections of the A-model connection.

In this talk, I will present joint work in progress with K. Rietsch on a partial extension of these results to Lagrangian Grassmannians (Grassmannians of maximal isotropic subspaces in a symplectic vector space). In particular, I will give the main ideas of how to obtain an explicit formula for the Landau-Ginzburg model in term of generalised Plücker coordinates, using representation theory.

This talk is part of the Algebraic Geometry Seminar series.

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