Speaker
Michael Lathwood
Description
The arithmetic properties of a Calabi-Yau manifold are encoded in the periods of its mirror. The mirror to a sigma model with Fano toric target is given by the Landau-Ginzburg model obtained from the Hori-Vafa construction. In this talk, we explain how this story generalizes to Calabi-Yau hypersurfaces in non-Fano toric varieties. We provide some preliminary calculations with our new Python package, ToricZeta. This talk is based on recent work with Per Berglund and Tim Gräfnitz (arXiv:2404.16782), and work in progress with Pyry Kuusela and Michael Stepniczka.
