On Serre's conjecture for 2-dimensional mod p representations of Gal( Q=Q)

By Chandrashekhar B. Khare, J.-P. Wintenberger. 2009

81 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/01c01b89503bc6a5bc95474e081d9f3b99dc94ce

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. T. Gee
2. David Geraghty
3. Thomas Barnet-Lamb
4. J. Thorne
5. Richard Taylor
6. Chandrashekhar B. Khare
7. Jean-Pierre Wintenberger
8. Frank Calegari

In Mathematical Physics

1. T. Gee
2. David Geraghty
3. Thomas Barnet-Lamb
4. J. Thorne
5. Richard Taylor
6. Chandrashekhar B. Khare
7. Jean-Pierre Wintenberger
8. Frank Calegari

Citations in the corpus

• Serre’s modularity conjecture (II) (2009, methodology): “5 below), and Taylor’s potential version of Serre’s conjecture, lead by the method of [34] and [33] to the existence of p-adic lifts asserted in Theorem 5.”
• Potential automorphy and change of weight (2010, methodology): “To construct r1 and r2 we use the method of Khare and Wintenberger [KW09] based on potential automorphy (in the ordinary case, where it is already available: see for example [BLGHT09]).”