Thursday, October 11, 2018
4:00 PM -
5:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
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.
Event Sponsors:
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].