##### Department of Mathematics,

University of California San Diego

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### Algebra Colloquium

## Oleg Belegradek

#### Istanbul Bigi University

## Definable relations in the field of reals with a subgroup of the unit circle

##### Abstract:

In this talk (intended for general algebraic audience) I will discuss the problem of characterization of definable relations in algebraic structures and give a survey of some classical results in this direction. Also, I will present my joint work with Boris Zilber, where we describe definable relations in the field of reals augmented by a binary predicate for a finite rank multiplicative group of complex numbers contained in the unit circle.

Host: Efim Zelmanov

### January 28, 2008

### 2:00 PM

### AP&M 7218

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