Heegner points and a B-SD conjecture

Joint IAS/Princeton University Number Theory Seminar
Topic:Heegner points and a B-SD conjecture
Speaker:Wei Zhang
Affiliation:Columbia University
Date:Thursday, November 7
Time/Room:4:30pm - 5:30pm/Fine 214, Princeton University

We prove a B-SD conjecture for elliptic curves (for the \(p^\infty\) Selmer groups with arbitrary rank) a la Mazur-Tate and Darmon in anti-cyclotomic setting, for certain primes \(p\). This is done, among other things, by proving a conjecture of Kolyvagin in 1991 on \(p\)-indivisibility of (derived) Heegner points over ring class fields.