skip to content
 

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: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons