Talk: Level Raising Mod 2 and Arbitrary 2-selmer Ranks

نویسنده

  • CHAO LI
چکیده

rankE(Q) ? = ords=1 L(E/Q, s). This rank conjecture is known when ords=1 L(E/Q, s) ≤ 1 (Gross-Zagier, Kolyvagin, ...). The recent breakthrough of Bhargava-Skinner-W. Zhang shows that the rank conjecture holds for at least 66% of all elliptic curves over Q. Even more interestingly, BSD further predicts a refined BSD formula for the leading term of L(E/Q, s) at s = 1 in terms of various important arithmetic invariants of E:

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تاریخ انتشار 2015