Exceptional Siegel-Weil theorems for compact ${\mathrm{Spin}}_8$

Aaron Pollack

Let $E$ be a cubic étale extension of the rational numbers which is totally real, i.e., $E\otimes \mathbf{R}\simeq \mathbf{R}\times \mathbf{R}\times \mathbf{R}$. There is an al…