An overview of the theory of p-adic Galois representations
Presenter
August 21, 2014
Keywords:
- abelian variety
- surface of genus g
- Galois cohomology
- Galois representation
- de Rham complex
- good reduction
- Tate's thesis
MSC:
- 11S15
- 11S20
- 11S23
- 11S25
- 14C30
- 11-xx
- 11Sxx
Abstract
We give an introductory discussion of the theory of p-adic representations of the field of p-adic numbers. Topics will include: Tate's p-divisible groups paper, the field of norms, the formalism of period rings, and (phi,Gamma)-modules.