5 papers
Cuspidal subgroups associated with non-rational Eisenstein maximal ideals
Debargha Banerjee, Narasimha Kumar, Dipramit Majumdar
In this paper, we are interested in the generalization of Ramanujan-like Eisenstein congruences (congruences between cusp forms and Eisenstein series) for congruence subgroups of t…
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 $…
An algorithm to compute upper bounds of dimensions for Siegel Modular Forms of Prime Level and Arbitrary Nebentypus
Debargha Banerjee, Dron Airon, Pranjal Vishwakarma +1
We describe an algorithmic method to determine the image of restriction maps for Siegel modular forms with \textit{arbitrary} characters and arbitrary weight. A program has been im…