Iwasawa main conjecture for supersingular elliptic curves

 Joint IAS/Princeton University Number Theory Seminar Topic: Iwasawa main conjecture for supersingular elliptic curves Speaker: Xin Wan Affiliation: Columbia University Date: Thursday, September 18 Time/Room: 4:30pm - 5:30pm/Fine 214, Princeton University

We will describe a new strategy to prove the plus-minus main conjecture for elliptic curves having good supersingular reduction at $p$. It makes use of an ongoing work of Kings-Loeffler-Zerbes on explicit reciprocity laws for Beilinson-Flach elements to reduce to another main conjecture of Greenberg type, which can in turn be proved using Eisenstein congruences on the unitary group $U(3,1)$.