##### Department of Mathematics,

University of California San Diego

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### Special Colloquium

## Dmitri Zaitsev

#### Trinity College, Dublin

## Boundaries of Levi-flat hypersurfaces

##### Abstract:

In this joint work with Pierre Dolbeault and Giuseppe Tomassini we consider the problem of characterizing compact real submanifolds of $C^n$ that bound Levi flat hypersurfaces. The problem is well studied in $C^2$ but surprisingly little is known in higher dimension. In this talk I will, in particular, explain the fundamental difference between $n=2$ and higher dimension showing why the known methods in $C^2$ do not apply.

Host: Salah Baouendi

### September 21, 2006

### 10:30 AM

### AP&M 6402

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