Kähler moduli spaces on non-Kähler Calabi-Yau manifolds
Mario Garcia-Fernandez (Universidad Autónoma de Madrid)
Abstract: Moduli spaces of Calabi-Yau metrics play a prominent role in geometry and mathematical physics. The interest on these moduli spaces lies in their rich geometric structure, related to mirror symmetry and enumerative geometry. In this talk I will explain how the Kähler metric on the “Kähler moduli space” of a Calabi-Yau manifold can be obtained from symplectic reduction. I will then move on to show how a suitable choice of vector bundle allows us to extend this construction to non-Kähler Calabi-Yau manifolds, by means of the Hull-Strominger moduli space. Based on joint work with Rubio (UAB) and Tipler (UBO) in arXiv:2004.11399, and ongoing work with Raúl González Molina.
Mathematics
Audience: researchers in the topic
Geometry Seminar - University of Florence
Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.
| Organizers: | Giorgio Ottaviani*, Daniele Angella*, Francesco Pediconi, Valerio Melani |
| *contact for this listing |