Number Theory Seminar
Bharathwaj Palvannan
University of Pennsylvania
Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
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.
Friday May 4, 2018 at 11:00 AM in SEO 612