The Local Langlands Correspondence for GLn over p-adic fields

By Peter Scholze. Inventiones Mathematicae, 2012

145 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a5403478849348f01a6944829bdde0946d8a46e6

How researchers see this paper

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

In Geometry and Topology

1. W. Gan
2. Atsushi Ichino
3. Laurent Fargues
4. M. Solleveld
5. Hiraku Atobe
6. Wei Zhang
7. Paul D. Nelson
8. Shuichiro Takeda

In Mathematical Physics

1. W. Gan
2. Atsushi Ichino
3. Laurent Fargues
4. P. Baum
5. Anne-Marie Aubert
6. M. Solleveld
7. Wei Zhang
8. Hiraku Atobe

Citations in the corpus

• The Gross–Prasad conjecture and local theta correspondence (2014, background): “The local Langlands correspondence for general linear groups, which was established by Harris–Taylor [19], Henniart [20], and Scholze [34], is a certain bijection between Irr(GLn(E)) and equivalence classes of n-dimensional representations of WDE.”
• The Howe Duality Conjecture (2014, methodology): “[11] P. Scholze, The local Langlands correspondence for GLn over p-adic fields, Inventiones Math.”
• Geometrization of the local Langlands correspondence: an overview (2016, methodology): “The character sheaf property is inspired by the method employed in [25], taking the trace of Frobenius on deformation spaces of p-divisible groups to define functions on p-adic groups.”
• The local Langlands correspondence for inner forms of SL$$_{n}$$n (2013, background): “The local Langlands correspondence (LLC) for GLn(F ) was established in the important papers [26,28,37,38,44,52].”