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Algebraic K-theory and arithmetic

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Speaker: 
G. Banaszak
Affiliation: 
Adam Mickiewicz U/MPI
Date: 
Thu, 2010-05-20 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

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.

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