5 problems

Let $R$ be the ring of integers of $L$, with $6N$ inverted, and let $g$ be the weight-one form with associated representation $\rho_g$. Define … Let $\mathfrak{S}$ be the Shimura c…

Multiplicative comparison conjecture. The cohomology algebra

Let $K$ be a cubic extension with negative discriminant $-D$, let $L$ be its sextic Galois closure, and let $g$ be the associated weight one form of level $D$. Let…

Let $E$ be the coefficient field, let $\mathcal{O}$ be its ring of integers, and let $\mathfrak{p}$ be a prime satisfying the conditions of the paper. Let $n\geqslant1$, let $q$ be…

Let $g$ be the weight one eigenform under consideration, let $\rho_g$ denote the associated Hecke eigenspace, and let $T_{q,z}:H^0(X_k,\omega)\to H^1(X_k,\omega)$ be the derived He…