Selmer Groups for Certain Rankin-Selberg L-functions
Location
Math 383-N
Event Series
Event Type
Seminar
Monday, May 20, 2019 2:30 PM
Xinwen Xu (Caltech)
To bound the Bloch-Kato Selmer group of certain Rankin-Selberg L-functions, we construct a
Bertolini-Darmon-Kolyvagin system using cycles on the product of unitary Shimura varieties.
This allows us to relate the triviality/nontriviality of the Selmer group to the vanishing order
of the L-function. We discuss some examples from elliptic curves. This is a joint work with
Yifeng Liu, Yichao Tiao, Liang Xiao and Wei Zhang.