##### Department of Mathematics,

University of California San Diego

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### Analysis/Geometry Seminar

## Gordon Heier

#### University of Houston

## Holomorphic sectional curvature and the structure of projective Kaehler manifolds

##### Abstract:

I will present recent results on the consequences of semi-definite holomorphic sectional curvature for the geometric structure of projective Kaehler manifolds. In the semi-positive case, the focus is on the existence of rational curves. In the semi-negative case, the focus is on semi-positivity of the canonical line bundle and splitting theorems. This talk covers various joint works with S. Lu, B. Wong and F. Zheng.

Host: Peter Ebenfelt

### November 17, 2015

### 10:00 AM

### AP&M 7321

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