Eknath Ghate

activity

20152020

most citedA zig-zag conjecture and local constancy for Galois representations

7 citations · 7 across the 4 of their papers we have counts for

collaborators

7 papers

math.RT2020

On non-admissible irreducible modulo $p$ representations of $G L_{2} (Q_{p^{2}})$

Eknath Ghate, Mihir Sheth

We use a Diamond diagram attached to a $2$ -dimensional reducible split mod $p$ Galois representation of $Gal (Q_{p} / Q_{p^{2}})$ to construct a…

math.NT2019

$p$ -adic Asai $L$ -functions attached to Bianchi cusp forms

Baskar Balasubramanyam, Eknath Ghate, Ravitheja Vangala

We establish a rationality result for the twisted Asai L-values attached to a Bianchi cusp form and construct distributions interpolating these L-values. Using the method of abstra…

math.RT2019

The Monomial Lattice in Modular Symmetric Power Representations

Eknath Ghate, Ravitheja Vangala

Let $p$ be a prime. We study the structure of and the inclusion relations among the terms in the monomial lattice in the modular symmetric power representations of $\mathrm{GL}_2(\…

math.NT2019★ 7 cited

A zig-zag conjecture and local constancy for Galois representations

Eknath Ghate

We make a zig-zag conjecture describing the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of half-integral slopes and exceptional weig…

math.NT2019

$p$ -adic Rankin product $L$ -functions

Eknath Ghate, Ravitheja Vangala

We describe Panchishkin's construction of the $p$ -adic Rankin product $L$ -function.

math.NT2019

Reductions of Galois representations of Slope $\frac{3}{2}$

Eknath Ghate, Vivek Rai

We prove a zig-zag conjecture describing the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of slope $\frac{3}{2}$ and exceptional weig…

On non-admissible irreducible modulo p representations of GL2​(Qp2​)

p-adic Asai L-functions attached to Bianchi cusp forms

The Monomial Lattice in Modular Symmetric Power Representations

A zig-zag conjecture and local constancy for Galois representations

p-adic Rankin product L-functions

Reductions of Galois representations of Slope 23​

On non-admissible irreducible modulo $p$ representations of $G L_{2} (Q_{p^{2}})$

$p$ -adic Asai $L$ -functions attached to Bianchi cusp forms

$p$ -adic Rankin product $L$ -functions

Reductions of Galois representations of Slope $\frac{3}{2}$