Conjectural nonnegative slopes for locally analytic overconvergent cohomology
Fix w∈MWw\in{}^MWw∈MW, and let ν:Tc(Zp)→Cp×\nu:T^c(\mathbb{Z}_p)\to\mathbb{C}_p^\timesν:Tc(Zp)→Cp× be a continuous character. For a character λ\lambdaλ of T+T^+T+ or T−T^-T−, let v(λ)v(\lambda)v(λ) denote its slope in…