# 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.