26 apr 2023 -- 11:30
Aula Tricerri, DIMaI, Firenze
Seminari di Geometria del Dini
Abstract.
HKT manifolds were first introduced by physicists since they arise as internal spaces of some supersymmetric sigma model with Wess-Zumino term. From the mathematical standpoint, HKT manifolds represent in many ways the hypercomplex counterpart of Kähler manifolds. In view of this analogy and motivated by the search of "canonical metrics", Alesker and Verbitsky posed in 2010 a Calabi-Yau type problem in HKT geometry. We will briefly overview the relevant mathematical framework and present some recent results. This talk is based on joint works with Lucio Bedulli and Luigi Vezzoni.