THE STRONG TOPOLOGICAL MONODROMY CONJECTURE FOR COXETER HYPERPLANE ARRANGEMENTS ASILATA BAPAT AND ROBIN WALTERS ABSTRACT. The Bernstein–Sato polynomial, or the b-function, is an important invariant of hypersurface sing

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L-functions and monodromy: four lectures on Weil II-1 L-functions and monodromy: four lectures on Weil II Nicholas M. Katz Table of Contents Lecture I Introduction

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POLYNOMIALS WITH PSL(2) MONODROMY ROBERT M. GURALNICK AND MICHAEL E. ZIEVE Abstract. Let k be a field of characteristic p > 0, let q be a power of p, and let u be transcendental over k. We determine all polynomials f ∈

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G2 AND HYPERGEOMETRIC SHEAVES NICHOLAS M. KATZ Abstract. We determine, in every finite characteristic p, those hypergeometric sheaves of type (7, m) with 7 ≥ m whose geometric monodromy group Ggeom lies in G2 , cf. The

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937 Documenta Math. Jumps and Monodromy of Abelian Varieties Lars Halvard Halle and Johannes Nicaise1

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A SEMICONTINUITY RESULT FOR MONODROMY UNDER DEGENERATION NICHOLAS M. KATZ 1. Introduction

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CORRECTIONS TO EXPONENTIAL SUMS AND DIFFERENTIAL EQUATIONS NICHOLAS M. KATZ Corrections to Chapter 7 page 232, line 6: “7.40.4” should be

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic topology
• Polynomials
• Algebraic number theory
• Mathematical analysis
• Monodromy
• Discriminant
• Divisor
• Sheaf
• Ring

Searching for thin groups Nicholas M. Katz Princeton University Sarnak Birthday Conference, Princeton, December 16, 2014

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• Mathematics
• Algebra
• Abstract algebra
• Complex analysis
• Homotopy theory
• Differential geometry
• Algebraic topology
• Mathematical analysis
• Monodromy
• Unipotent
• Nick Katz

65 Doc. Math. J. DMV The Local Monodromy as a Generalized Algebraic Correspondence

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• Algebra
• Abstract algebra
• Mathematics
• Homological algebra
• Hodge theory
• Algebraic geometry
• Complex analysis
• Mathematical analysis
• Monodromy
• Hyperhomology
• Hodge structure
• Chow group

Appendix: On Galois representations with values in G2 Michael Dettweiler and Nicholas M. Katz ¯ ` -sheaf on A1¯ Let ` be a prime and let H(1, 1) be the cohomologically rigid Q Q of rank 7 which is given in Thmo

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• Algebra
• Abstract algebra
• Mathematics
• Galois theory
• Algebraic number theory
• Homological algebra
• Algebraic geometry
• Algebraic topology
• tale cohomology
• Monodromy
• Motive
• P-adic Hodge theory