Archived Events

Location: Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn

We hope that bringing together specialists in different areas of mathematics would boost interesting discussions and plan to organise a few seminars and mini-courses covering, in particular, the following topics:

basics of model theory, algebraic geometry and model theory, Zariski geometries, Diophantine geometry and model theory, complex geometry and model theory, open problems in number theory and arithmetic geometry.

The program will culminate in a week long research conference on "Interactions of model theory with number theory and algebraic geometry", June 11 - 15, organised by J-B. Bost, Z. Chatzidakis, and R. Moosa (the organisers maintain a web-page of the conference at http://www.math.uwaterloo.ca/~imna/).
 

Abstracts:

Abstract will follow.

Anderson T-motives are the functional field analogs of
abelian varieties, but this analogy is rather weak. For example, the
analogs of dimension $g$ of an abelian variety are 2 numbers:
dimension $n$ and rank $r$. There exists a more strong analogy between
Anderson T-motives of dimension $n$ and rank $r$ and abelian varieties
of dimension $r$ with multiplication by an imaginary quadratic field
$K$ (MIQF), of signature $(n, r-n)$, because both objects have the
same Deligne group $GU(n, r-n)$.

This analogy permits us to get 2 results in the theory of abelian