Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications

By Michael Harris. 2009

48 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/c33d40253744847677ff4501f09edebc2770d8a5

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. T. Gee
2. David Geraghty
3. Thomas Barnet-Lamb
4. Frank Calegari
5. M. Emerton
6. David Savitt
7. J. Thorne
8. C. Johansson

In Geometry and Topology

1. T. Gee
2. David Geraghty
3. Thomas Barnet-Lamb
4. J. Thorne
5. M. Emerton
6. David Savitt
7. M. Kisin
8. C. Johansson

In Mathematical Physics

1. T. Gee
2. David Geraghty
3. Thomas Barnet-Lamb
4. J. Thorne
5. M. Emerton
6. David Savitt
7. M. Kisin
8. C. Johansson

Citations in the corpus

• Congruences between Hilbert modular forms: constructing ordinary lifts (2010, methodology): “rdinary at each place v|l, and since (Runiv 4 ) redhas been identified with a Hecke algebra, we see that ρord⊗Ind G F + 1 GM θis automorphic. The modularity of ρordthen follows from an idea of Harris ([Har07], although the version we use is based on that employed in [BLGHT09]). Finally, a basic argum”