P-adic Hodge theory

• Bhatt, Bhargav, Matthew Morrow, and Peter Scholze. “Integral $p$-Adic Hodge Theory - Announcement.” arXiv:1507.08129 [math], July 29, 2015. http://arxiv.org/abs/1507.08129.

articles

• Peter Scholze, Canonical q-deformations in arithmetic geometry, arXiv:1606.01796 [math.AG], June 06 2016, http://arxiv.org/abs/1606.01796
• Laurent Berger, Lubin's conjecture for full $p$-adic dynamical systems, arXiv:1603.03631[math.NT], March 11 2016, http://arxiv.org/abs/1603.03631v2

• Rebecca Bellovin, $p$-adic Hodge theory in rigid analytic families, 10.2140/ant.2015.9.371, http://dx.doi.org/10.2140/ant.2015.9.371, Algebra Number Theory 9 (2015) 371-433, http://arxiv.org/abs/1306.5685v2

expositions

• Tamás Szamuely, Gergely Zábrádi, The p-adic Hodge decomposition according to Beilinson, arXiv:1606.01921 [math.NT], June 06 2016, http://arxiv.org/abs/1606.01921