Number Theory Seminar
p-Selmer growth in extensions of degree p
Kestutis Cesnavicius,
Research Fellow,
Mathematics,
University of California, Berkeley,
For an elliptic curve E over a number field K, one consequence of the Birch and Swinnerton-Dyer conjecture is the parity conjecture: the global root number should match the parity of the Mordell-Weil rank. Its weaker but more approachable version is the p-parity conjecture for a fixed prime p: the global root number should match the parity of the Z_p-corank of the p-infinity Selmer group. After surveying what is known on the p-parity conjecture, we will discuss its proof in the case when E has a K-rational p-isogeny.
For more information, please contact Pei-Yu Tsai by email at [email protected] or visit http://math.caltech.edu/~numbertheory/.
Event Series
Number Theory Seminar Series
Event Sponsors