Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Structure and cohomologies of locally conformally symplectic manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 27 Jun 2019

25 jun 2019 -- 14:15



In non-K\"ahler geometry, the Hodge decomposition and the Hard Lefschetz Condition are very special properties that characterize cohomological aspects of the complex, respectively symplectic structure. In this talk, we consider the twisted case of such cohomological properties, more precisely, we study cohomological properties of locally conformally structures. In particular, Inoue surfaces and their generalization in higher dimension (the so-called Oeljeklaus-Toma manifolds) play a role, where algebraic number theory and geometry interact. We also focus in constructing, classifying, investigating invariant locally conformally symplectic structures on $4$-dimensional (quotients of) Lie groups.

The talk is based on and inspired by joint works and collaboration with Giovanni Bazzoni, Alexandra Otiman, Maurizio Parton, Nicoletta Tardini, Adriano Tomassini, Luis Ugarte, Victor Vuletescu.

Credits | Cookie policy | HTML 5 | CSS 2.1