# GAN

## Seminar

### Diophantine property in groups

Seminar Room 1, Newton Institute

#### Abstract

Let x, y be two real numbers and consider all numbers that can be expressed from them using addition and subtraction. Denote by B_l the set of numbers that can be obtained by using x and y at most l times. A simple Borel-Cantelliargument shows that the smallest positive element of B_l is at least cl^(-1-e) for almost all pairs x,y. In the lecture we will investigate the analogue of this property in non-commutative Lie groups.#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.