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Galois representations are important objects in algebraic number theory,and p-adic Hodge theory is a useful tool to study them.In this talk,we discuss about a certain overconvergence property of(\varphi,\tau)-modules in p-adic Hodge theory.A key idea in the proof is that we can approximate a general Galois representation by nice “geometric” Galois representaitons.This is a joint work with Tong Liu.