The Local Langlands Conjecture for Gl(2)

By C. Bushnell, G. Henniart. 2006

509 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e6821906daab17c85e50e890fb7a9da9f0dfab38

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jared Weinstein
2. P. Allen
3. G. Henniart
4. C. Bushnell
5. Michael Spiess
6. Tasho Kaletha

In Geometry and Topology

1. Jared Weinstein
2. P. Allen
3. G. Henniart
4. C. Bushnell
5. Michael Spiess
6. Tasho Kaletha
7. Peter Scholze

In Mathematical Physics

1. Jared Weinstein
2. P. Allen
3. G. Henniart
4. C. Bushnell
5. Michael Spiess
6. Tasho Kaletha
7. Peter Scholze

Citations in the corpus

• The Fontaine-Mazur conjecture in the residually reducible case (2019, unknown): “3 of [BH06]).”
• Deformations of polarized automorphic Galois representations and adjoint Selmer groups (2014, methodology): “If π is an irreducible admissible representation of GLd(K) over C and ι ∈ Aut(C), then recTK(ιπ) = ιrecTK(π) (this is explained when d = 2 in [BH06, §35] and the argument there generalizes using [BH00, Theorem 3.2] and the converse theorems of [Hen93]).”
• Epipelagic representations and invariant theory (2013, unknown): “See [8] for more details.”
• The essentially tame local Langlands correspondence, III: the general case (2010, methodology): “(The choice of character here is irrelevant: see [12] 30.”
• On the local Bump-Friedberg L-function (2013, unknown): “Finally, we denote by WF the Weil group of F , by IF its inertia subgroup, and by Fr the Frobenius element of WF (see [8], Chapter 29).”