Tuesday, May 29, 14:00, 7.527.
Frauke Bleher (University of Iowa)
Iwasawa theory and Chern classes.
The leading term in the Taylor expansion of a real valued function at a
point is a
key concept in real analysis. In this talk, I will discuss what can be
be the leading term of a finitely generated torsion module over a Noetherian
unique factorization domain. This is the Chern class of the module indexed
the codimension of its support. Classical Iwasawa theory involves the case
the leading terms are "first order". I will discuss new work about when they
"second order". This is joint work with Ted Chinburg, Ralph Greenberg,
Kakde, Romyar Sharifi and Martin Taylor.