4 problems

Real quadratic ray class field conjecture. The statement that, for the dimensions listed in Proposition 1, there is a SIC orbit $E$ with $\mathbb{Q}(E)=\mathfrak{R}$, while every o…

Fix $d\geq4$, write $\Delta=(d+1)(d-3)=f^2\Delta_0$ with $\Delta_0$ a fundamental discriminant, and let $f'\mid f$. Let $\mathcal M$ satisfy the extended order-to-multiplet conject…

Let $K$) be an imaginary quadratic field with discriminant $d_K$, let $(2)=\mathfrak p_1\mathfrak p_2$, let $h(d_K)$ denote the class number, and let $\textsf{K}_1$ denote the rele…

Let $K$ be a CM-field with reflex field $K^*$, let $\mathfrak{f}$ be a modulus of $K$, and let $\mathfrak{f}^*$ be the corresponding modulus of $K^*$. Write … for the natural homom…