Homological Berglund-Hübsch mirror symmetry for curves

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• Matt Habermann (LSGNT)
• Friday 17 January 2020, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Nils Prigge.

Homological mirror symmetry for hypersurface singularities is a series of conjectures relating the study of hypersurface singularities in symplectic and algebraic geometry. In particular, given an n x n invertible matrix with non-negative integer coefficients, one can define a quasi-homogeneous polynomial. Berglund and Hübsch then suggested that this is mirror dual to the polynomial defined by the transpose of this matrix. In this talk I will introduce the requisite notions in order to state precisely what this means, and focus on the case of curves where many of the ideas can be effectively communicated by pictures.

This talk is part of the Junior Geometry Seminar series.

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