On pseudo-null Iwasawa modules

Pseudo-modularity and Iwasawa Theory

We prove, assuming Greenberg’s conjecture, that the ordinary eigencurve is Gorenstein at an intersection point between the Eisenstein family and the cuspidal locus. As a corollary, we obtain new results on Sharifi’s conjecture. This result is achieved by constructing a universal ordinary pseudodeformation ring and proving an R = T result.

Filtrations of smooth principal series and Iwasawa modules

Let $G$ be a reductive $p$-adic group‎. ‎We consider the general question‎ ‎of whether the reducibility of an induced representation can be detected in a‎ ‎``co-rank one‎" ‎situation‎. ‎For smooth complex representations induced from supercuspidal‎ ‎representations‎, ‎we show that a sufficient condition is the existence of a subquotient‎ ‎that does not appear as a subrepresentation‎. ‎An import...

Galois modules, Iwasawa theory and leading term conjectures

Asymptotics of coinvariants of Iwasawa modules under non-normal subgroups

Let G be a pro-p p-adic analytic group, thought of as a closed subgroup of GLN (Zp), and let Σ be a closed subgroup of G. Write Λ for the completed group algebra Zp[[G]] and let M be a finitely generated Λ-module. Let G = G ⊃ G ⊃ G ⊃ . . . be the descending sequence of principal congruence subgroups of G; write Gn for the quotient G/G and Σn for the image of Σ in Gn. Write Mn for the coinvarian...

Singularity analysis of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces

This paper introduces the notions of pseudo null curves in Minkowski 4-space. Meanwhile, some geometrical characterizations and the singularities of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces, which are generated by pseudo null curves, are considered in this paper. c ©2016 All rights reserved.