# MAA

## Seminar

### Nonstandard 1-dimensional tori are locally modular

Peterzil, Y (Haifa)
Tuesday 05 April 2005, 16:30-17.30

Seminar Room 1, Newton Institute

#### Abstract

In earlier work we showed how a uniform family of biholomorphisms of 1-dimensional complex tori and algebraic cubics is definable in $R_{an,exp}$, covering in this way all smooth cubics, but not all tori.

As a corollary, one obtains in elementary extensions of $R_{an,exp}$ some nonstandard'' 1-dimensional tori. I will discuss the induced analytic structure on these tori and show that these nonstandard tori are strongly minimal and locally modular.