##### Department of Mathematics,

University of California San Diego

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### Math 208 - Algebraic Geometry Seminar

## Anand Deopurkar

#### Australian National University

## Apparent boundaries of projective varieties

##### Abstract:

Fix a smooth projective variety in projective space and project it to a linear subspace of the same dimension. The ramification divisor of this projection is classically known as the ``apparent boundary''. How does the apparent boundary move when we move the center of projection? I will discuss the geometry arising from this natural question. I will explain why the situation is most interesting for varieties of minimal degree, and how it is related to limit linear series for vector bundles.

Host: James McKernan

### May 29, 2020

### 2:00 PM

### Zoom (contact Prof. McKernan)

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