0900 - 0940, December 29, 2017 (Friday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
The Rank of Jacobian Varieties Over Nite Galois Extensions and its Applications
Bo-Hae Im ( Korea Advanced Institute of Science and Technology )


In this talk I will talk about the growth of the rank of Jacobian varieties over nite Galois extensions, especially the growth of the rank of elliptic curves over certain nite abelian ex-tension. As an application of elliptic curves over quadratic extensions, we will talk about a parameterization of -congruent numbers with high probability of having specic prime factors.