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Number theory: Ted Chinburg (Univ. of Pennsylvania) "Chern classes in Iwasawa theory" | Einstein Institute of Mathematics

Number theory: Ted Chinburg (Univ. of Pennsylvania) "Chern classes in Iwasawa theory"

Date: 
Tue, 12/01/201610:30-11:45
Location: 
Ross Building, room 70A
Many of the main conjectures in Iwasawa theory can be phrased as saying
that the first Chern class of an Iwasawa module is generated by a p-adic
L-series.
In this talk I will describe how higher Chern classes pertain to the higher
codimension behavior of Iwasawa modules. I'll then describe a template
for conjectures which would link such higher Chern classes to elements
in the K-theory of Iwasawa algebras which are constructed from tuples of
Katz p-adic L-series. I will finally describe an instance in which a result of
this kind, for the second Chern class of an unramified Iwasawa module,
can be proved over an imaginary quadratic field.
This is joint work with F. Bleher, R. Greenberg, M. Kakde, G. Pappas,
R. Sharifi and M. J. Taylor.