3 papers
math.NT2024
Wall crossing in Iwasawa theory
Shilin Lai
This paper sets up a framework to organize anticyclotomic Iwasawa theory in the context of the Gan-Gross-Prasad conjecture for unitary groups. We propose multiple main conjectures…
math.NT2024
Euler systems and relative Satake isomorphism
Li Cai, Yangyu Fan, Shilin Lai
We explain how the unramified Plancherel formula in the relative Langlands program gives a natural way of constructing test vectors which satisfy the tame norm relations of an Eule…
math.NT2024
Anti-cyclotomic Euler system of diagonal cycles
Shilin Lai, Christopher Skinner
We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1…