Study Group on Symplectic and Kähler Manifolds
Spring 2020
CUNY Graduate CenterFridays, 2:00 PM – 3:00 PM
GC-3307
Co-organizers: Bart Van Steirteghem and David Pham
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February 21, 2020 — David Pham (QCC)
Basic Connection Identities for Complex Geometry
February 14, 2020 — David Pham (QCC)
Review of the Bismut Connection II
Abstract
Associated to any Hermitian manifold $(M,J,g)$ is a unique connection $\nabla$ which satisfies $\nabla g =0$ and $\nabla J =0$ as well as a certain torsion condition. This connection is called the Bismut connection. The Bismut connection turns out to be closely related to strong Kähler-metrics with torsion (which in turn are equivalent to Hermitian-symplectic manifolds). In this talk, I will review the construction of this connection.
February 7, 2020 — David Pham (QCC)
Review of the Bismut Connection I
Abstract
Associated to any Hermitian manifold $(M,J,g)$ is a unique connection $\nabla$ which satisfies $\nabla g =0$ and $\nabla J =0$ as well as a certain torsion condition. This connection is called the Bismut connection. The Bismut connection turns out to be closely related to strong Kähler-metrics with torsion (which in turn are equivalent to Hermitian-symplectic manifolds). In this talk, I will review the construction of this connection.