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Number Theory Seminar

Thursday, October 11, 2018
4:00pm to 5:00pm
Add to Cal
Linde Hall 387
p-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin
Ashay Burungale, Department of Mathematics, Caltech,

Let $E$ be a CM elliptic curve over the rationals and $p$ an odd prime. If the $p^{\infty}$-Selmer group of $E$ has $\mathbf{Z}_{p}$-corank one, we show that the analytic rank of $E$ is also one (joint with Chris Skinner and Ye Tian). We plan to discuss the setup and strategy in the ordinary case.

For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].