##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Li-Sheng Tseng

#### UC Irvine

## Differential Cohomologies on Symplectic Manifolds

##### Abstract:

In this talk, I will introduce new cohomologies and elliptic operators on symplectic manifolds. Their construction follows from a simple decomposition of the exterior derivative into two first-order symplectic differential operators, which are analogous to the Dolbeault operators in complex geometry. These symplectic cohomologies encode new geometrical invariants especially for non-Kahler symplectic manifolds. This is joint work with S.-T. Yau.

Host: Lei Ni

### February 22, 2012

### 3:00 PM

### AP&M 5829

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