2016
Jan
12

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

10:30am to 11:45am

## 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

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