Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–854) HODGE THEORY AND CYCLE THEORY OF LOCALLY SYMMETRIC SPACES Nicolas Bergeron

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• Geometry
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Hodge theory for combinatorial geometries

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Hodge Theory of Matroids Editor’s Note: Matt Baker is speaking on this topic in the Current Events Bulletin Lecture at the January 2017 Joint Mathematics Meetings. Karim Adiprasito, June Huh, and Eric Katz Communicated

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Weil-Deligne representations and p-adic Hodge theory: motivation Prologue I’d quickly like to explain what this short note is about. I do this mostly to orient the reader, since (upon rereading) it’s somewhat non-ob

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Selected titles in This Series Volume 8 José Bertin, Jean-Pierre Demailly, Luc Illusie, and Chris Peters Introduction to Hodge theory (2002)

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The Intrinsic Hodge Theory of Hyperbolic Curves by Shinichi Mochizuki I. Uniformization as a Species of Hodge Theory (A.) Uniformizations Defined by the Exponential Function In elementary mathematics, the simplest varie

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The Intrinsic Hodge Theory of p-adic Hyperbolic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University

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Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves Shinichi Mochizuki （望月 新一） RIMS, Kyoto University （京都大学数理解析研究所） Abstract:

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Hardy-Ramanujan Journal – (yyyy), — submitted dd/mm/yyyy, accepted dd/mm/yyyy, revised dd/mm/yyyy Towards a proof of the Hodge conjecture, and cycle spaces in positive characteristic

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• Algebra
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419 Documenta Math. Lifting Galois Representations, and a Conjecture of Fontaine and Mazur

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• Algebra
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