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.
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.