Lecture Notes on: The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki I. General Introduction

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

• Algebraic number theory
• Galois theory
• Algebraic geometry
• Hodge theory
• Homological algebra
• Tate conjecture
• Galois module
• tale cohomology
• P-adic Hodge theory
• Tate module
• Abelian variety
• Algebraic curve

Invent. math. 174, 555–DOI: s00222x Mixed Hodge polynomials of character varieties With an appendix by Nicholas M. Katz Tam´as Hausel1 , Fernando Rodriguez-Villegas2

Source URL: web.math.princeton.edu

• Homological algebra
• Hodge theory
• Conjectures
• Algebraic geometry
• Polynomials
• Hodge structure
• Lefschetz hyperplane theorem
• Macdonald polynomials
• Weil conjectures
• Betti number
• Finite field
• Hodge conjecture

The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki §1. Introduction (A.) The Fuchsian Uniformization A hyperbolic curve is an algebraic curve obtained by removing r points from a smooth, proper

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

• Algebraic geometry
• Number theory
• P-adic Teichmller theory
• P-adic number
• Riemann surface
• P-adic Hodge theory
• Nilcurve
• Differential geometry of surfaces
• Tate conjecture
• Algebraic curve
• Elliptic curve
• tale cohomology

525 Documenta Math. A p-adic Regulator Map and Finiteness Results for Arithmetic Schemes

Source URL: documenta.sagemath.org

• Algebraic number theory
• Algebraic geometry
• Cohomology theories
• Homological algebra
• Conjectures
• Motivic cohomology
• tale cohomology
• Brauer group
• Tate conjecture
• Chow group
• Motive
• P-adic Hodge theory

525 Documenta Math. A p-adic Regulator Map and Finiteness Results for Arithmetic Schemes

Source URL: www.math.uiuc.edu

• Algebraic number theory
• Algebraic geometry
• Cohomology theories
• Homological algebra
• Conjectures
• Motivic cohomology
• tale cohomology
• Brauer group
• Tate conjecture
• Chow group
• Motive
• P-adic Hodge theory

Monodromy and the Tate conjecture-1 Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families A. Johan de Jong and Nicholas M. Katz Introduction We use results of Deligne on …-adic monodromy

Source URL: web.math.princeton.edu

• Algebraic geometry
• Tate conjecture
• Projective variety
• Algebraic number field
• Ample line bundle
• Elliptic curve
• Cohomology
• Smooth scheme
• Monodromy
• Lefschetz hyperplane theorem
• Picard group
• Hodge conjecture

Shadows of Hodge theory in representation theory Geordie Williamson (Max Planck Institute) The Kazhdan-Lusztig conjecture is a remarkable 1979 conjecture on the characters of simple highest weight modules over a complex

Source URL: www.7ecm.de

• Mathematics
• Algebra
• Abstract algebra
• Number theorists
• Algebraic combinatorics
• KazhdanLusztig polynomial
• Polynomials
• Representation theory of Lie algebras
• Representation theory of Lie groups
• Alexander Beilinson
• Jean-Luc Brylinski
• Joseph Bernstein

CYCLE CLASSES, CONT. DANIEL LITT 1. The Hodge Conjecture Last time I promised you the generalized Hodge conjecture–here it is. Recall that given a Hodge structure (VZ , V p,q ), we define a filtration on VC given by

Source URL: math.columbia.edu

Title: Morita conjecture on projective integral models of Shimura varieties of Hodge type Abstract: Let A be an abelian variety over a number field. Let G be the Mumford–Tate group of some extension AC of A to the fiel

Source URL: www.math.columbia.edu

Seminar ‘Advanced Hodge theory and the Hodge conjecture’ Summer term 2012 The idea of the seminar is to learn some classical concepts and recent approaches to the Hodge conjecture. Basic concepts of Hodge theory are

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

• Algebra
• Abstract algebra
• Mathematics
• Hodge theory
• Algebraic geometry
• Conjectures
• Homological algebra
• Hodge conjecture
• Homology theory
• Hodge structure
• Hodge cycle
• MumfordTate group