20 oct 2020 -- 17:00
Differential Geometry Seminar Torino (online)
The talks are presented using the platform Cisco Webex Meetings. The Webex link will be sent one day before the talk to all registered participants. To register, please send an e-mail to dgseminar.torino@gmail.com
Abstract.
In this talk we study the geometry of a complex manifold $(M,J)$ endowed with a closed, non-degenerate 2-form $\omega$ with respect to which $J$ is either symmetric or skew-symmetric. This leads to, respectively, complex-symplectic and pseudo-Kähler structures. Complex symplectic structures are related to a number of other geometric structures, such as (hyper)Kähler, hypercomplex, and hypersymplectic. We are interested in examples of manifolds which carry some of these structures, but no others. Joint work with M. Freibert, A. Gil García, A. Latorre, B. Meinke.