4 problems

Stark–Heegner cycle rationality conjecture. These local classes should be the restrictions at $p$ of global cohomology classes in the semistable Bloch–Kato Selmer group defined ove…

Twisted Stark–Heegner cycle conjecture. There exists a global Selmer class

Let $\chi:\operatorname{Gal}(H_{\mathcal C}/K)\to\mathbb C^\times$ be a character, let $\mathfrak s_\chi$ be the associated Stark–Heegner cycle class, and let $L(f/K,\chi,s)$ be th…

Let $V_p(f)$ be the two-dimensional representation attached to a Bianchi modular form, assume that $V_p(f)|_{G_{F_{\mathfrak p}}}$ is semistable, and let $\mathfrak p$, $K$,…