Title: Distribution of $\Lambda$-modules for unramified Iwasawa modules of quadratic fields
Abstract: In this talk we will give conjectural distribution of classical Iwasawa modules of class groups along cyclotomic tower as $\Lambda$-modules for quadratic fields. For imaginary quadratic fields, our conjecture gives an extension of the previous conjecture of Ellenberg-Jain-Venkatesh; for real quadratic fields, our conjecture gives an extension of conjecture of Greenberg. Our conjecture is motivated by function field analogue. We will also discuss the differences between function field and number fields for these questions.
Alexander Smith
Email