INTEGRAL p-ADIC HODGE THEORY BHARGAV BHATT, MATTHEW MORROW, AND PETER SCHOLZE Abstract. We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of Cp . It takes values in a mixed

Source URL: www.math.uni-bonn.de

p-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES PETER SCHOLZE Abstract. We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of per

Source URL: www.math.uni-bonn.de

Yves Andr´ e ENS Paris Semicontinuity of some Newton polygons Pierre Berthelot Universit´e de Rennes D-perfect crystalline complexes Let k be a perfect field of characteristic p, W its ring of Witt vectors, let X

Source URL: www.ms.u-tokyo.ac.jp

• Homological algebra
• Galois theory
• Cohomology theories
• Algebraic geometry
• Crystalline cohomology
• P-adic Hodge theory
• Étale cohomology
• P-adic number
• Lubin–Tate formal group law
• Abstract algebra
• Algebra
• Algebraic number theory

Peter Scholze’s lectures on p-adic geometry∗, Fall 2014 ∗ Last updated on 29 JanThanks to Arthur Ogus and Jay Pottharst for helpful

Source URL: math.berkeley.edu

• Field theory
• Commutative algebra
• Scheme theory
• Galois theory
• P-adic number
• Moduli space
• Valuation
• P-adic Hodge theory
• Scheme
• Abstract algebra
• Algebra
• Algebraic number theory

Workshop “p-adic Arithmetic Geometry” November 20-22, 2006 Room 115, RIMS, Kyoto University Program

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic geometry
• Homological algebra
• Algebraic number theory
• Galois theory
• Crystalline cohomology
• Iwasawa theory
• P-adic Hodge theory
• Rigid cohomology
• P-adic L-function
• Abstract algebra
• Algebra
• Cohomology theories

Workshop “p-adic Arithmetic Geometry” Abstracts John Coates, Ramdorai Sujatha Title: Root numbers and Iwasawa theory, I, II Abstract: One interesting aspect of non-commutative Iwasawa theory is that non-abelian

Source URL: www.kurims.kyoto-u.ac.jp

• Cohomology theories
• Algebraic geometry
• Field theory
• Number theory
• Crystalline cohomology
• P-adic Hodge theory
• Étale cohomology
• Rigid cohomology
• Motive
• Abstract algebra
• Algebra
• Homological algebra

2015-ohp-english+pictures.pdf

Source URL: www.kurims.kyoto-u.ac.jp

• Number theory
• Group theory
• Analytic number theory
• Hodge theory
• Elliptic curve
• P-adic number
• Characteristic
• Theta function
• Abstract algebra
• Mathematics
• Field theory

[removed]ohp-english+pictures.pdf

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic number theory
• Field theory
• Hodge theory
• Number theory
• Elliptic curve
• P-adic Hodge theory
• P-adic number
• Absolute Galois group
• Abstract algebra
• Algebra
• Galois theory

FINITENESS OF K3 SURFACES AND THE TATE CONJECTURE arXiv:1107.1221v3 [math.AG] 2 Dec 2011 MAX LIEBLICH, DAVESH MAULIK, AND ANDREW SNOWDEN A BSTRACT. Given a finite field k of characteristic p ≥ 5, we show that the Tate

Source URL: arxiv.org

• Galois theory
• Homological algebra
• Algebraic number theory
• Cohomology theories
• Finite field
• P-adic Hodge theory
• Crystalline cohomology
• P-adic number
• Lattice
• Abstract algebra
• Algebra
• Field theory

MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 205–247 HODGE STRUCTURE ON THE FUNDAMENTAL GROUP AND ITS APPLICATION TO p-ADIC INTEGRATION VADIM VOLOGODSKY

Source URL: www.ams.org

• Homological algebra
• Topos theory
• Differential topology
• Vector bundle
• Vectors
• Étale morphism
• Spectrum of a ring
• Grothendieck topology
• Hodge structure
• Abstract algebra
• Algebra
• Algebraic topology