Bounding Selmer groups for the Rankin--Selberg convolution of Coleman families

Andrew Graham, Daniel R. Gulotta, Yujie Xu

Let $f$ and $g$ be two cuspidal modular forms and let $\mathcal{F}$ be a Coleman family passing through $f$, defined over an open affinoid subdomain $V$ of weight space $\mathcal{W…