| JOINT IAS/PU NUMBER THEORY SEMINAR | |
| Topic: | Modularity Lifting for n-Dimensional Ordinary Galois Representations |
| Speaker: | David Geraghty |
| Affiliation: | Harvard University |
| Date: | Friday, October 30 |
| Time/Room: | 4:00pm - 5:00pm/Fine Hall -- 322 |
I will discuss a generalization of the modularity lifting theorems of Clozel, Harris and Taylor to the case of ordinary Galois representations. The result is obtained by applying the Taylor-Wiles method (with innovations due to Kisin and Taylor) over a Hida family. A key step is to construct an appropriate ordinary lifting ring and determine its irreducible components.