# Study Group on Symplectic and Kähler Manifolds

Fall 2020

Friday, 2:00pm-3:00pm

Co-organize with Bart Van Steirteghem and David Pham

Our seminar will be online in the Fall semester 2020. Please email Fei Ye for the meeting link if you are interested in attending the seminar.

## Past Seminars

Date: October 30, 2020

Speaker: David Pham (QCC-CUNY)

Title: Basic Concepts in Generalized Geometry

Date: October 23, 2020

Speaker: David Pham (QCC-CUNY)

Date: October 16, 2020

Speaker: David Pham (QCC-CUNY)

Title: Lie algebras with trivial first cohomology

Date: October 9, 2020

Speaker: David Pham (QCC-CUNY)

Title: Lie algebra cohomology - 1-cocycles (Canceled)

Date: October 2, 2020

Speaker: David Pham (QCC-CUNY)

Title: Doubles of Lie bialgebras

Date: September 25, 2020

Speaker: David Pham (QCC-CUNY)

Title: Poisson actions and Dressing Transformations

Date: September 11, 2020

Speaker: David Pham

Title: The Interior Derivative of a 2-vector Field

Date: September 4, 2020

Speaker: NA

Title: Organization Meeting

Date: February 21, 2020

Speaker: David Pham (QCC)

Title: Basic Connection Identities for Complex Geometry

Date: February 14, 2020

Speaker: David Pham (QCC)

Title: 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 turn out to be closely related to strong Kahler-metrics with torsion (which in turn are equivalent to Hermitian-symplectic manifolds). In this talk, I will review the construction of this connection.

Date: February 7, 2020

Speaker: David Pham (QCC)

Title: Review of the Bismut connection

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 turn out to be closely related to strong Kahler-metrics with torsion (which in turn are equivalent to Hermitian-symplectic manifolds). In this talk, I will review the construction of this connection.