Xin Wan (Columbia University)
Iwasawa Main Conjecture for Supersingular Elliptic Curves

We present a new strategy to prove Iwasawa main conjecture for supersingular elliptic curves formulated by Kobayashi. It uses the explicit reciprocity law for Beilinson-Flach elements to reduce this conjecture to another main conjecture of Greenberg type and prove this different conjecture using Eisenstein congruences on the unitary group U(3,1).