7 problems

A Bianchi modular form varies in a one-dimensional $p$-adic family over a two-dimensional weight space; a classical family is one containing infinitely many classical forms. Calega…

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…

Let $F$ be the number field in the Bianchi modular setting, let $p$) be a prime satisfying the residual non-vanishing hypotheses, and let $\mathfrak{Y}$ be the set of finite order…

Let $f$ be the Bianchi cuspidal eigenform and $V_p(f)$ its attached $p$-adic Galois representation. For each embedding $\sigma:F_{\mathfrak p}\hookrightarrow L$, let…

Let $F$ be an imaginary quadratic field, let $f$ be a Bianchi cuspidal eigenform over $F$, and let $V_p(f)$ be the two-dimensional $p$-adic representation of $G_F$ attached to $f$.…

The authors construct a distribution $\mu_s$ on $\mathbb{Z}_p$ by symmetrising a distribution $\tilde\mu_s$, so that its integrals against odd characters vanish and its integrals a…

Let $K$ be an imaginary quadratic field. A Bianchi newform is a weight-$2$ automorphic form over $K$ at level $\mathcal{K}_0(\mathfrak{n})$, and an elliptic curve over $K$ has cond…