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).

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