Vendredi 23 Février 2018

10h 30 Andrea LOI (Cagliari)

Global symplectic coordinates on Kaehler manifolds.

Abstract. In the first part of the talk  we provide several explicit constructions  of global symplectic coordinates on Kaehler manifolds. In particular, we treat the cases of complete Reinhardt domains, LeBrun’s Taub-Nut  Kaehler  form, gradient Kaehler-Ricci solitons, Calabi’s inhomogeneous Kaehler–Einstein form on tubular domains, bounded symmetric domains. In the second (more technical) part  of the talk we show how
the construction of explicit symplectic coordinates on bounded symmetric  domains (given in the first part) can be used to compute the Gromov width of Hermitian symmetric spaces of compact type.