course: Generalized Calabi-Yau manifolds

speaker: Adriano Tomassini (Università di Parma)

abstract: A Generalized Calabi-Yau manifold consists of the data (M, k, J, e), where (M, k) is a 2n-dimensional compact symplectic manifold, J is a k-calibrated almost complex structure on M and e is a complex volume form such that i) e(e bar) = kⁿ n! ii) De=0, where D is the Chern connection.

In this talk, we shall give some examples of these structures on nilmanifolds. We also will discuss the special case of complex dimension 3, giving an example of a Calabi-Yau structure on a non-nilpotent solvable manifold.

timetable:
Thu 11 Nov, 15:30 - 17:00, Sala Conferenze Centro De Giorgi
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