Patching and the p-adic local Langlands correspondence

By Ana Caraiani, M. Emerton, T. Gee, David Geraghty, Vytautas Paškūnas, S. Shin. 2013

116 citations recorded by the source corpus.

We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our construction to prove many new cases of the Breuil--Schneider conjecture.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d66e1fa6e54502175f1afb2027f9a1c8131d28c9

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. Peter Scholze
2. Ruochuan Liu
3. Kiran S. Kedlaya
4. B. Bhatt
5. Laurent Fargues
6. Lue Pan
7. W. Gan
8. Wiesława Nizioł

In Mathematical Physics

1. Peter Scholze
2. Ruochuan Liu
3. Kiran S. Kedlaya
4. B. Bhatt
5. Laurent Fargues
6. W. Gan
7. Wiesława Nizioł
8. A. Mathew

Citations in the corpus

• On the p-adic cohomology of the Lubin-Tate tower (2015, methodology): “In the patching construction of [5], one chooses some representation of GLn(O)/H which occurs infinitely often, and then chooses them compatibly for all H.”