Math-Sci Seminar: On the local and global class field theory 

Speaker:  Prof. İlhan İkeda, Department of Mathematics, Istanbul Bilgi University, Istanbul

Title:  On the local and global class field theory (in the sense of Koch).

Date: Thu 19 Oct, 2006
Time: 16:45
Place: Science Building, Room Z42

Abstract:

In the first half of my talk, I shall briefly describe my joint
work with Mr. Erol Serbest on the non-abelian local class field theory
via generalized Fesenko reciprocity cycles using Fontaine-Wintenberger
theory of fields of norms and the theory of Sen cohomology. 
In the second half, I shall focus on the global case. By "glueing"
in a certain way the local class formations introduced in the first 
part of my talk, I shall construct the non-abelian idele-class group.
Finally, I shall construct the global Fesenko recprocity cycle that
describes the class field theory of the absolute Galois extension
of the global field K.

Please visit http://home.ku.edu.tr/~sci-math for a schedule of
upcoming Science -Math seminars at Koc University.