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 \(U(3,1)\).