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Batyrev Mirror Symmetry

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If you have a question about this talk, please contact Siao Chi Mok .

Mirror symmetry is a somewhat mysterious relationship between pairs of Calabi-Yau manifolds (Z,ÅŊ), where the symplectic geometry of Z is intertwined with the algebraic geometry of ÅŊ et vice versa. The main goal of this talk will be to introduce a construction of mirror pairs due to V. Batyrev, which is based on a purely combinatorial duality of lattice polytopes. Despite its apparent simplicity, this construction provides a great toy example for studying mirror symmetry in general. We will go over some examples and, time permitting, discuss various generalisations.

This talk is part of the Junior Geometry Seminar series.

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