1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…