1400 - 1440, December 29, 2017 (Friday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Equivariant BSD Conjecture Over Global Function Fields
Wansu Kim ( Korean Institute for Advanced Study )


Under a certain finiteness assumption of Tate-Shafarevich groups, Kato and Trihan showed the BSD conjecture for abelian varieties over global function fields of positive characteristic. We explain how to obtain the equivariant generalisation of the work of Kato and Trihan for semi-stable abelian varieties with respect to (not necessarily abelian) Galois extensions L/K of global function fields that are at most tamely ramified everywhere. This is a joint work in progress with David Burns and Mahesh Kakde.