Videos

Phi-gamma modules and p-adic Hodge theory

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
  • 11Sxx
  • 11-xx
  • 14C30
Abstract
This series of lectures, which build on Jared Weinstein's talks, will be a light introduction to the theory of phi-gamma modules and their interactions with p-adic Hodge theory. We will discuss Fontaine's equivalence of categories, give examples of phi-gamma modules and present Berger's fundamental results which link phi-gamma modules and p-adic Hodge theory. Depending on time, we may say a few words about the applications of phi-gamma modules to Galois cohomology and to the p-adic Langlands correspondence for GL_2(Q_p).