The following notes are an expanded version of talks on Beilinson’s paper as reported by Beilinson (J. AMS 25, 715–738, 2012) given at the department of mathematics of the university of Padova on October 25 and 26, 2012, at the Seminaire REGA (Reseau d’Etudiants en Geometrie Algebrique, Institut Henri Poincare, Paris) on December 12, 2012, lectures at the KIAS (Seoul) on January 3 and 4, 2013, a course at the Morningside Center of Mathematics (Beijing) on February 18, 25, and March 4, 11, 2013, and a course at the VIASM (Hanoi) on September 4, 5, 9, 10, 11, 2014. I do not discuss Beilinson’s next paper as reported by Beilinson (Camb. J. of Math. 1, 1–51, 2013), which deals with refinements of the comparison theorem between p-adic etale cohomology and de Rham cohomology.