##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Otmar Venjakob

#### Univ. of Heidelberg

## Are zeta-functions able to solve Diophantine equations?

##### Abstract:

Motivated by the question whether (some) Diophantine equations are related to special values of $\zeta$- or $L$-functions we first describe the origin of classical Iwasawa theory. Then we give a survey on generalizations of these ideas to non-commutative Iwasawa theory, a topic which has been developed in recent years by several mathematicians, including the author.

Host: Cristian Popescu

### November 30, 2012

### 3:00 PM

### AP&M 6402

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