1 citations · 1 across the 4 of their papers we have counts for
6 papers
On mod p Hecke algebras of abstract p-adic automorphic forms
Nha Xuan Truong
We study completed local shallow Hecke algebras acting on residual automorphic forms attached to projective augmented modules for $\GL_2(\Q_p)$. For odd primes , we prove that t…
Density of repelling periodic points for cubic rational maps
Nha Xuan Truong
We prove the repelling-density conjecture for cubic rational maps over : for every prime , the classical Julia set is the closure of the classical repelling periodi…
Local fields, iterated extensions, and Julia Sets
Pui Hang Lee, Michelle Manes, Nha Xuan Truong
Let be a field complete with respect to a discrete valuation of residue characteristic . For , let be the extension obtained by adjoining all iterated…
Slopes of modular forms and geometry of eigencurves
Ruochuan Liu, Nha Xuan Truong, Liang Xiao +1
Under a stronger genericity condition, we prove the local analogue of ghost conjecture of Bergdall and Pollack. As applications, we deduce in this case (a) a folklore conjecture of…
A local analogue of the ghost conjecture of Bergdall-Pollack
Ruochuan Liu, Nha Xuan Truong, Liang Xiao +1
We formulate a local analogue of the ghost conjecture of Bergdall and Pollack, which essentially relies purely on the representation theory of GL_2(Q_p). We further study the combi…
An explicit computation of the Hecke operator and the ghost conjecture
Nha Xuan Truong
In this paper, we investigate the Hecke operator at p = 5 and show that the upper minors of the matrix have non zero corank and, interestingly, follow the same ghost pattern in the…