5 papers
Uniform irreducibility of Galois action on the -primary part of Abelian -folds of Picard type
Mladen Dimitrov, Dinakar Ramakrishnan
Half a century ago Manin showed that given a number field and a rational prime , there exists a uniform bound for the order of cyclic -power isogenies between two n…
On -adic -functions for in finite slope Shalika families
Daniel Barrera Salazar, Mladen Dimitrov, Chris Williams
In this paper, we propose and explore a new connection in the study of -adic -functions and eigenvarieties. We use it to prove results on the geometry of the cuspidal eigenva…
Parahoric level -adic -functions for automorphic representations of with Shalika models
Mladen Dimitrov, Andrei Jorza
We construct -adic -functions for regularly refined cuspidal automorphic representations of symplectic type on over totally real fields, which are pa…
Eigenvariety for partially classical Hilbert modular forms
Mladen Dimitrov, Chi-Yun Hsu
For each subset of primes in a totally real field above a rational prime , there is the notion of partially classical Hilbert modular forms, where the empty set recovers the ove…
On the GL(2n) eigenvariety: branching laws, Shalika families and -adic -functions
Daniel Barrera Salazar, Mladen Dimitrov, Andrew Graham +2
In this paper, we prove that a -eigenvariety is étale over the (pure) weight space at non-critical Shalika points, and construct multi-variable -adic -funct…