Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Ghate, Eknath"'
Autor:
Ghate, Eknath, Sheth, Mihir
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 5, Pp 627-632 (2020)
We use a Diamond diagram attached to a 2-dimensional reducible split mod $p$ Galois representation of $\mathrm{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p^{2}})$ to construct a non-admissible smooth irreducible mod $p$ representation of $\mathrm{GL}
Externí odkaz:
https://doaj.org/article/b9589ca576044eeb869f518d2dabbbb2
Autor:
Chitrao, Anand, Ghate, Eknath
We determine the mod $p$ reductions of all two-dimensional semi-stable representations $V_{k,\mathcal{L}}$ of the Galois group of $\mathbb{Q}_p$ of weights $3 \leq k \leq p+1$ and $\mathcal{L}$-invariants $\mathcal{L}$ for primes $p \geq 5$. In parti
Externí odkaz:
http://arxiv.org/abs/2311.03740
Autor:
Ghate, Eknath, Jana, Arindam
We show that certain modular induced representations of $\mathrm{GL}_2({\mathbb F}_q)$ can be written as cokernels of operators acting on symmetric power representations of $\mathrm{GL}_2({\mathbb F}_q)$. When the induction is from the Borel subgroup
Externí odkaz:
http://arxiv.org/abs/2308.10246
Autor:
Ghate, Eknath
The zig-zag conjecture says that the reductions of two-dimensional crystalline representations of the Galois group of ${\mathbb {Q}}_p$ of large exceptional weights and half-integral slopes up to $\frac{p-1}{2}$ vary through an alternating sequence o
Externí odkaz:
http://arxiv.org/abs/2211.12114
Publikováno v:
Represent. Theory 27 (2023), 1088-1101
Let $p>3$ and $F$ be a non-archimedean local field with residue field a proper finite extension of $\mathbb{F}_p$. We construct smooth absolutely irreducible non-admissible representations of $\mathrm{GL}_2(F)$ defined over the residue field of $F$ e
Externí odkaz:
http://arxiv.org/abs/2210.07281
We construct an explicit sequence $V_{k_n,a_n}$ of crystalline representations of exceptional weights converging to a given irreducible two-dimensional semi-stable representation $V_{k,{\mathcal{L}}}$ of $\mathrm{Gal}({\overline{\mathbb{Q}}}_p/{\math
Externí odkaz:
http://arxiv.org/abs/2109.13676
Autor:
Ghate, Eknath, Sheth, Mihir
We use a Diamond diagram attached to a $2$-dimensional reducible split mod $p$ Galois representation of $\mathrm{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p^{2}})$ to construct a non-admissible smooth irreducible mod $p$ representation of $GL_{2}(\m
Externí odkaz:
http://arxiv.org/abs/2003.00781
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 abstract Kummer congruences, we then outline the main steps needed to show t
Externí odkaz:
http://arxiv.org/abs/1908.10095
Autor:
Ghate, Eknath, Kumar, Arvind
Publikováno v:
Int. J. Number Theory (2022)
Let $p\ge 5$ be a prime, and let $f$ be a cuspidal eigenform of weight at least $2$ and level coprime to $p$ of finite slope $\alpha$. Let $\bar{\rho}_f$ denote the mod $p$ Galois representation associated with $f$ and $\omega$ the mod $p$ cyclotomic
Externí odkaz:
http://arxiv.org/abs/1906.10364
Autor:
Ghate, Eknath, Vangala, Ravitheja
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 $\mathrm{GL}_2(\mathbb{F}_p)$. We also determine the structure of certain related quot
Externí odkaz:
http://arxiv.org/abs/1905.12360