##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## Son Duong

## An embedding problem for real-algebraic hypersurfaces in complex spaces

##### Abstract:

Embedding problem for real-algebraic hypersurfaces dates back to 1978 when Webster proved that real-algebraic hypersurfaces is embeddable into a hyperquadric of possibly higher dimension. In a recent paper joint with Peter Ebenfelt, we showed that this is not true for the spheres case. We will exhibit an explicit example of a close, strictly pseudoconvex hypersurface and show that it is not locally holomorphically embeddable into a sphere of any dimension whatsoever by showing that the point at infinity is an obstruction for local embedding at all point.

### June 7, 2012

### 11:00 AM

### AP&M 7321

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