Algebraic K-theory and arithmetic

In my talk I will present several topics related to Algebraic K-theory of number fields. I will discuss the connection of divisible elements in even K-groups to the conjectures of Kummer-Vandiver, Iwasawa, Coates-Sinnott and Quillen-Lichtenbaum. I will show the construction of the Stickelberger's splitting map to the boundary map in the Quillen localization sequence and its relation with Coates-Sinnott conjecture and the divisible elements.

Anhang	Größe
[4]Banaszak-2010-05-20.pdf [5]	704.55 KB