Number Theory Seminar at Univ of Washington: October 13, 2011
SPEAKER: William Stein (Univ of Washington) LOCATION: Thursday, October 13, 2011 in Padelford C401 TITLE: Numerical Computation of Chow-Heegner Points ABSTRACT: Chow-Heegner points, as are being actively pursed by Darmon, Rotger, et al., are quite general. In this talk, we consider a special case that has a simple concrete description due to Shouwu Zhang. Given a pair E, F of elliptic curves, and a fixed choice of maps X_0(N)-->E and X_0(N)-->F, we associate a rational point P on E. In this talk we will describe a relatively elementary numerical approach to computing P, state some motivating results of Zhang et al. about the height of P, and present a new table of data.