|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Iwasawa main conjecture for supersingular elliptic curves|
|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 \(U(3,1)\).