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FIELD Math: CMC
DATE October 15 (Thu), 2020
TIME 16:00-17:30
PLACE online
SPEAKER Takenori Kataoka
HOST Kim, Chan-Ho
INSTITUTE Keio Univ
TITLE [Number Theory] Higher codimension behavior in equivariant Iwasawa theory for CM-fields
ABSTRACT

In classical Iwasawa theory, we mainly study codimension one behavior of Iwasawa modules. Against this background, Bleher-Chinburg-Greenberg-Kakde-Pappas-Sharifi-Taylor started studying codimension two behavior of unramified Iwasawa modules which are assumed to be pseudo-null. In this talk, we propose a new perspective
of their works by using the determinant modules of perfect complexes. This enables us to describe the higher codimension behavior, and moreover to extend the results to equivariant settings.

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