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The annual conference Polynomial Computer Algebra is devoted to polynomial algorithms in Computer Algebra. This field has a lot of applications both in theoretical and applied mathematics as well as in Computer Science. The conference PCA'2021 is the 14-th in the series. This year PCA Conference is devoted to the memory of Vladimir Gerdt who has passed away January 5, 2021. He was a brilliant specialist in the field of computer algebra and one of the founders of this series of conferences. For many years from 2008 he was a PC member and one of the key participant of all previous PCA conferences. We plan to have a special memorial session devoted to his memory at Tuesday April 20 both in Euler Institute and in Zoom format.