Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Symplectic invariants of Hermitian symmetric spaces

Fabio Zuddas

created by daniele on 04 Aug 2015
modified on 08 Sep 2015

22 sep 2015 -- 15:00

Aula Bianchi scienze, SNS, Pisa

GR14 SNS "Geometry of non Kähler manifolds"

Abstract.

The Gromov width of a symplectic $n$-dimensional manifold $M$ gives the sup of the $r>0$ such that there exists a symplectic embedding of the open ball of radius $r$ of the euclidean $n$-dimensional space (endowed with the standard symplectic form) into $M$.
In this talk we compute the Gromov width of Hermitian symmetric spaces of compact and non-compact type. The theorems we present are contained in a paper joint with A.Loi and R.Mossa recently accepted for publication in the Journal of Symplectic Geometry, and generalize analogous results proved by Guangcun Lu for Grassmannians and their products.

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