Jun 10 – 15, 2018
Tsinghua Sanya International Mathematics Forum
Asia/Shanghai timezone

A Generalized Construction of Calabi-Yau Manifolds and Mirror Symmetry

Jun 11, 2018, 10:30 AM
45m
Tsinghua Sanya International Mathematics Forum

Tsinghua Sanya International Mathematics Forum

Sanya, Hainan, China

Speaker

Per Berglund (New Hampshire)

Description

We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties. The associated non-reflexive polytopes provide a generalization of Batyrev’s original work, allowing us to construct new pairs of mirror manifolds. In particular, this allows us to find new K3-fibered Calabi-Yau manifolds, relevant for string compactifications.

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