School of Mathematics Colloquium

Iwasawa theory and Chern Classes

by Prof. Mahesh Kakde (University College London UK)

Asia/Kolkata
AG-69

AG-69

Description
The first Chern class has something to do with the main conjecture
of Iwasawa theory. I will make this statement precise in both the
commutative and non-commutative setting. Then I will raise some questions about the possible role of higher Chern classes in Iwasawa theory and present a modest development towards providing answers to some of the questions. (This is a work in progress jointly with F. Bleher, T. Chinburg, R. Greenberg, G. Pappas, R. Sharifi and M. Taylor).