4 problems

Buzzard–Gee conjecture. Galois representations attached to $C$-algebraic automorphic forms should take values in a $C$-group.

Let $S$ be a symmetric space with an associated $L$-group, and consider the results in V.3 for representations in the discrete spectrum of unitary symmetric spaces. L-group invaria…

Let $n$ be a positive integer, and let $\mathcal P_n$ be the decision problem whose instances are $\ell$-group terms $t_1,\ldots,t_{n+1}$ in the variables $X_1,\ldots,X_n$, asking…

Let $n\geq 1$. The free, commutative, real $\ell$-algebra (equivalently, $\ell$-group) on $n$ generators is compared with the $\ell$-group of real-valued functions that are continu…