##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Majid Hajian

#### California Institute of Technology

## On a motivic method in Diophantine geometry

##### Abstract:

By studying variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Concrete results then follow based on known (and conjectural) vanishing theorems.

Host: Kiran Kedlaya

### April 23, 2015

### 2:00 PM

### AP&M 7321

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