# Nonstandard 1-dimensional tori are locally modular

Presented by:
Y Peterzil [Haifa]
Date:
Tuesday 5th April 2005 - 16:30 to 17:30
Venue:
INI Seminar Room 1
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.

Presentation Material: