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Clelia Pech
Wednesday 13 March 2013, 14:15-15:15
Landau-Ginzburg models for Lagrangian Grassmannians
- 👤 Speaker: Clelia Pech
- 📅 Date & Time: Wednesday 13 March 2013, 14:15 - 15:15
- 📍 Venue: MR 13, CMS
Abstract
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.
Series This talk is part of the Algebraic Geometry Seminar series.
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