Abstract: 

Beilinson--Bloch--Kato conjecture and Iwasawa main conjecture can be viewed as generalizations and p-adic analogues of the celebrated BSD conjecture for elliptic curves. These conjectures predict deep relations between the L-function (or its p-adic analogue) of a motive with some arithmetic invariants.  In this talk, I will first start with some review on more classical results and basic ideas in the case of elliptic curves, and then I will discuss some recent progress of those two conjectures for Rankin--Selberg motives of type GL_n*GL_{n+1} over a CM field. This talk is based on my joint work with Yifeng Liu, Liang Xiao, Wei Zhang and Xinwen Zhu.

Speaker Website: http://www.mcm.ac.cn/people/members/202108/t20210820_658104.html 

Video: http://archive.ymsc.tsinghua.edu.cn/pacm_lecture?html=Beilinson_Bloch_Kato_Conjecture_and_Iwasawa_theory_for_Rankin_Selberg_motives.html