##### Department of Mathematics,

University of California San Diego

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### Special Recruitment Colloquium

## Neshan Wickramasekera

#### MIT

## Regularity of minimal submanifolds

##### Abstract:

In this talk, I will survey some well known local regularity results for various classes of minimal submanifolds, and discuss some recent developments in the theory for the class of immersed stable minimal hypersurfaces with branch point singularities. I will also present an existence result for this latter class, and discuss implications of the theory to the global structure of immersed, stable minimal hypersurfaces of low dimension.

Host: Peter Ebenfelt

### January 4, 2005

### 12:00 PM

### AP&M 6438

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