Symmetric and skew-symmetric complex structures

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.

differential geometry

Audience: researchers in the topic

Differential Geometry Seminar Torino

Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.

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