Seminars & Colloquia Calendar
The growth of class numbers in towers of number fields
Ted Chinburg, University of Pennsylvania
Location: Hill 705
Date & time: Wednesday, 28 November 2018 at 3:30PM - 4:30PM
Abstract: This talk will be about some classical and some new results concerning class numbers of number fields. I will eventually focus on Iwasawa theory. This has to do with the growth of the p-parts of class numbers as one moves up various towers of number fields. By the end of the talk I will discuss some new results concerning the leading terms in these growth rates, rather than just the first order terms which are the focus of classical Iwasawa theory.
This is joint work with F. Bleher, R. Greenberg, M. Kakde, R. Sharifi and M. J. Taylor.