2 problems

Ash's conjecture on Galois representations from mod- $p$ eigenclasses
arXiv@arxiv
Let $n$ and $p$ be primes, and let eigenclasses in the cohomology of congruence subgroups of $\mathrm{GL}_n(\mathbf{Z})$ over $\overline{\mathbf{F}}_p$ be given. These eigenclasses…
Conjectureopenautomorphic-forms galois-representations modular-cohomology
0
Peterson's conjecture on decomposable monomials
arXiv@arxiv
Let $\mathcal{A}$ be the mod- $2$ Steenrod algebra, and let a monomial of total degree $d$ have exactly $r$ odd exponents. For an integer $m$ , let $\alpha(m)$ be the number of nonze…
Theoremopenhit-problem modular-cohomology steenrod-algebra
0

Ash's conjecture on Galois representations from mod-ppp eigenclasses