Bharathwaj Palvannan : Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction

Posted by Nathan Jones , part of the Number Theory Seminar.

At

May 4, 2018, 11 a.m.

In

SEO 612

Abstract

A recent paper of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects (two Katz's 2-variable p-adic L-functions) and algebraic objects (two ``everywhere unramified'' Iwasawa modules) involving codimension two cycles. The talk will describe an analogous result by considering the restriction, to an imaginary quadratic field K where a prime p splits, of an elliptic curve E defined over Q with good supersingular reduction at p. This is joint work with Antonio Lei.