[Turkmath:6655] METU Math. Dep. General Seminar

[Konstantin Zheltukhin]

Dear all,

We are happy to welcome Omer Kucuksakalli, METU Department of   
Mathematics, at this week  General Seminar.

Omer Kucuksakalli will give a talk

Title: Complex Multiplication

Abstract: A number field K is a finite field extension of rational  
numbers. The classification of abelian extensions of number fields is  
done by the class field theory. The Kronecker-Weber theorem says that  
any abelian field extension of rational numbers is a cyclotomic field  
(generated by roots of unity). In general, however, the construction  
of abelian extensions is not nearly as explicit as in the cyclotomic  
case. The theory of complex multiplication provides a similar  
description for the abelian extensions of imaginary quadratic fields.  
The abelian extensions of such fields are given by adjoining values of  
certain elliptic functions. In this talk, we will give a brief  
introduction to the study of this area of mathematical research.


  Date:  12.11.2009
  Time:  15:40 - 16:30
  Place: Gunduz Ikeda Seminar Room


On behalf of recearch committee,
Kostyantyn Zheltukhin




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