中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： Ted Chinburg （University of Pennsylvania & IHÉS）
题 目：Chern classes in Iwasawa theory
时 间：12.09 (星期三) ,17:00—18:00
地 点：晨兴110室
摘 要：
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.
