17 nov 2020 -- 15:00
DIMaI, Firenze (online)
Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze
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.