C. Bushnell

activity

20042018

most citedLanglands parameters for epipelagic representations of

GL_{n}

37 citations · 77 across the 9 of their papers we have counts for

collaborators

10 papers

math.NT2018

Tame multiplicity and conductor for local Galois representations

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ . Let $σ$ be an irreducible smooth representation of the absolute Weil group $\Cal W_F$ of $F$ and…

math.RT2017

Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p \neq = 2$ . Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group…

math.RT2016★ 3 cited

Local Langlands correspondence and ramification for Carayol representations

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with Weil group $\Cal W_F$. Let $σ$ be an irreducible smooth complex representation of $\Cal W_F$,…

math.NT2016

Strong exponent bounds for the local Rankin-Selberg convolution

Colin J Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field. Let $σ$ and $τ$ be finite-dimensional semisimple representations of the Weil-Deligne group of $F$ . We give strong upper and lowe…

math.NT2015

Higher ramification and the local Langlands correspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field. We show that the local Langlands correspondence over $F$ has a strong property generalizing the higher ramification theorem of l…

math.NT2013★ 37 cited

Langlands parameters for epipelagic representations of $GL_{n}$

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field. An irreducible cuspidal representation of $GL_{n} (F)$ is epipelagic if its Swan conductor equals 1. We give a full and explicit d…

math.NT2011★ 8 cited

A congruence property of the local Langlands correspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field of residual characteristic $p$ , and $ℓ$ a prime number, $ℓ \neq = p$ . We consider the Langlands correspondence, between irreducible, $n…

math.RT2011★ 13 cited

Intertwining of simple characters in GL(n)

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = GL_{n} (F)$ . Let $θ_{1}$ , $θ_{2}$ be simple characters in $G$ . We show that $θ_{1}$ intertwi…

math.RT2011★ 1 cited

To an effective local Langlands Corrspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field. Let $\Cal W_F$ be the Weil group of $F$ and $\Cal P_F$ the wild inertia subgroup of $\scr W_F$. Let $\hat{\Cal W}_F$ be the set of equival…

math.NT2004★ 15 cited

Functorial products for $G L_{2} \times G L_{3}$ and the symmetric cube for $G L_{2}$

Henry H. Kim, Freydoon Shahidi, Colin J. Bushnell +1

In this paper we prove two new cases of Langlands functoriality. The first is a functorial product for cusp forms on $G L_{2} \times G L_{3}$ as automorphic forms on $G L_{6}$ , from which we…

Tame multiplicity and conductor for local Galois representations

Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Local Langlands correspondence and ramification for Carayol representations

Strong exponent bounds for the local Rankin-Selberg convolution

Higher ramification and the local Langlands correspondence

Langlands parameters for epipelagic representations of GLn​

A congruence property of the local Langlands correspondence

Intertwining of simple characters in GL(n)

To an effective local Langlands Corrspondence

Functorial products for GL2​×GL3​ and the symmetric cube for GL2​

Langlands parameters for epipelagic representations of $GL_{n}$

Functorial products for $G L_{2} \times G L_{3}$ and the symmetric cube for $G L_{2}$