4 papers · 1 filter
Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
Debargha Banerjee, Dhrubajyoti Das, Srijan Das +2
We establish a lower bound for the number of non-CM Galois orbits of newforms in with non-trivial quadratic nebentypus for sufficiently large weights. Extending th…
A note on extensions of -adic representations of
Debargha Banerjee, Srijan Das
We compute extension groups in the category of duals of -adic Banach space representations of . Focusing on representations arising from the -adi…
Ordinary local representations and $\Ext$ groups
Debargha Banerjee, Srijan Das
We can associate an admissible unitary representation of $\GL_2(\Q_p)$ with every local Galois representation by the -adic local Langlands correspondence. If $…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…