Integral p-adic Hodge theory – announcement B. Bhatt, M. Morrow, P. Scholze arXiv:1507.08129v1 [math.AG] 29 Jul

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ERRATUM TO “p-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES” PETER SCHOLZE (1) Proposition 3.7 (i) (“Any continuous open surjective map of profinite sets admits a continuous splitting”) is wrong, see [3, Example

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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

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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

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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

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• 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

VARIATIONS OF HODGE STRUCTURE NOTES FOR NUMBER THEORY LEARNING SEMINAR ON SHIMURA VARIETIES DANIEL LITT Contents 1. Introduction: Variation of Hodge Structure for Curves

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Advanced Course Lectures on Differential Graded Categories From homotopy theory to Hodge theory January 13, 15 and 16, 2015

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Hodge theory in combinatorics Eric Katz (University of Waterloo) joint with June Huh (IAS) and Karim Adiprasito (IAS) May 14, 2015

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The Hodge theory of degenerating hypersurfaces Eric Katz (University of Waterloo) joint with Alan Stapledon (University of Sydney) October 20, 2013

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Seminar ‘Fano varieties and cubics: Hodge theory and derived categories’ Summer term 2013 The following is open for discussion. We may decide to shift the emphasize or dwell longer on certain aspects. Personally, I w

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• Algebraic geometry
• Algebra
• Abstract algebra
• Algebraic varieties
• Cubic threefold
• Rational variety
• Fano variety
• Intermediate Jacobian
• Cubic form
• Chow group
• Scheme