Number Theory Seminar

Speaker: Yuri Bilu (Bordeaux)

Title: Special Points on Straight Lines and Hyperbolas

Abstract: I will speak on the recent joint work with Bill Allombert, Florian Luca, David Masser and Amalia Pizarro-Madariaga about the special points on the simplest algebraic curves. Call a point "special" if its coordinates are j-invariants of lattices with complex multiplication. I will state the general theorem of Yves André about finiteness of the number of such point of a "general" algebraic curve. Next, I will show that one can say much more in the case of the "simple" curves, like straight lines and hyperbolas.