The hybrid Landau--Ginzburg models of Calabi--Yau complete intersections

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• Alessandro Chiodo, Jussieu
• Wednesday 03 June 2015, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Mark Gross.

Landau–Ginzburg (LG) models play a central role in mirror symmetry. In particular they allow a proof of mirror symmetry for Calabi—Yau hypersurfaces and a new line of attack to higher genus invariants; we will report a recent successful approach in genus 1 in collaboration with Yongbin Ruan and Dimitri Zvonkine. We also show a generalization of LG models, a hybrid model playing an analogue role for Calabi-Yau complete intersections. This is an occasion to revisit the definition of LG models and to streamline and generalize previous proofs, work in in collaboration with Jan Nagel.

This talk is part of the Algebraic Geometry Seminar series.

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