8 problems

Let $\mathcal{C}$ be the family locus under consideration, let $\kappa_{{\mathbf{g}},{\mathbf h}}\vert_{\mathcal{C}}$ be the restriction of the Beilinson–Flach cohomology class, an…

Let $f$ and $g$ be the modular forms in the Rankin–Selberg setting, let $v_{f,\lambda}$ and $v_{g,\mu}$ be the indicated vectors for $\lambda,\mu\in\{\alpha,\beta\}$, and let…

Let $T$ be the rank-four representation, let $\mathcal{N}(\mathcal{P})$ be the specified set of auxiliary integers, and let $\mathcal{L}_{m,V}$ be the equivariant Perrin–Riou regul…

Let $T$ be the representation attached to $f$ and $g$, and let $M$ be the $4\times4$ logarithmic matrix over $\mathcal{H}$ that decomposes Perrin–Riou's regulator map into four bou…

Let $f$ and $g$ be the eigenforms under consideration, and let $T$ be the associated rank-four Iwasawa representation. Let $\textup{BF}_{\lambda,\mu}$ denote the four Beilinson–Fla…

Let $K$ be as in the source, let $\Lambda_K$ be the corresponding two-variable Iwasawa algebra, and let $\mathcal X^{\hat\bullet\forall}$ and $\mathcal X^{\bullet0}$ be the dual Se…

Let $\mathcal{K}$ be the imaginary quadratic field in the source, let $\Lambda_\mathcal{K}$ be its two-variable Iwasawa algebra, let…

Let $K$ be an imaginary quadratic field, let $f$ be a modular form without CM by $K$, and let $\Psi$ be an algebraic Grössencharacter of infinity-type $(a,b)$. Let $M_f$ be the mot…