##### Department of Mathematics,

University of California San Diego

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### Colloquium

## Francesc Castella

#### Princeton University

## Euler Systems and Rational Points on Elliptic Curves

##### Abstract:

The Birch and Swinnerton-Dyer conjecture is a central open problem in Mathematics, and Euler Systems have been at the source of much of the progress to date in this direction. In my talk, I will give a motivated introduction to the BSD conjecture, survey what we know about it, and highlight some recent advances arising from the construction of new Euler Systems with a bearing on the arithmetic of elliptic curves.

Host: Kiran Kedlaya

### January 10, 2017

### 3:00 PM

### AP&M 6402

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