2 problems

0 votes0 replies0 views
Non-proportionality conjecture for the functions $f_0$ and $f_1$
Non-proportionality conjecture. For any irreducible quotient $\pi$ of $\operatorname{ind}^G_K \sigma/(T_\sigma)$ , the images of $f_0$ and $f_1$ in $\pi$ are not proportional.
Conjectureopenp-adic-representation-theory pro-p-iwahori supersingular-representationsarXiv posted 2 days ago
0 votes0 replies1 view
Existence of essentially pure diagrams for supersingular modules
Let $M_{\chi,\mathbf{J}}$ be a supersingular module, and let $X$ be the diagram's underlying structure with associated homology modules $H_0(X,\mathcal{D}_{\chi,\mathbf{J}})$ and…
Conjectureopenp-adic-groups representation-theory supersingular-representationsarXiv posted 2 days ago

Non-proportionality conjecture for the functions f0f_0f0​ and f1f_1f1​