%0 Journal Article %T p-adic periods and derived de Rham cohomology %A Alexander Beilinson %J Mathematics %D 2011 %I arXiv %X We construct p-adic period map using derived de Rham cohomology of Illusie and give a simple proof of Fontaine's C_{dR} conjecture. %U http://arxiv.org/abs/1102.1294v5