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Women in Numbers Europe

Research Directions in Number Theory

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Marie José Bertin

    1. Number Theory, Jussieu Institute of Mathematics, Paris, France

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  2. Alina Bucur

    1. Department of Mathematics, University of California, San Diego, La Jolla, USA

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  3. Brooke Feigon

    1. Department of Mathematics, The City College of New York, New York, USA

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  4. Leila Schneps

    1. Algebraic Analysis, Jussieu Institute of Mathematics, Paris, France

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  • Covers Number Theory in all major areas of the discipline
  • Features special chapters on Ramanujan bi-graphs, Galois representations and automorphic forms
  • All chapters are from research presented at the 2013 Women in Numbers Europe Conference

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 2)

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Table of contents (8 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Explicit Construction of Ramanujan Bigraphs

    • Cristina Ballantine, Brooke Feigon, Radhika Ganapathy, Janne Kool, Kathrin Maurischat, Amy Wooding
    Pages 1-16

  3. Classifications of Elliptic Fibrations of a Singular K3 Surface

    • Marie José Bertin, Alice Garbagnati, Ruthi Hortsch, Odile Lecacheux, Makiko Mase, Cecília Salgado et al.
    Pages 17-49

  4. Shalika Germs for \(\mathfrak{s}\mathfrak{l}_{n}\) and \(\mathfrak{s}\mathfrak{p}_{2n}\) Are Motivic

    • Sharon M. Frechette, Julia Gordon, Lance Robson
    Pages 51-85

  5. The Conjectural Relation Between Generalized Shalika Models on \(\mathop{\mathrm{SO}}\nolimits _{4n}(F)\) and Symplectic Linear Models on \(\mathop{\mathrm{Sp}}\nolimits _{4n}(F)\): A Toy Example

    • Agnès David, Marcela Hanzer, Judith Ludwig
    Pages 87-107

  6. Bad Reduction of Genus Three Curves with Complex Multiplication

    • Irene Bouw, Jenny Cooley, Kristin Lauter, Elisa Lorenzo García, Michelle Manes, Rachel Newton et al.
    Pages 109-151

  7. Symmetries of Rational Functions Arising in Ecalle’s Study of Multiple Zeta Values

    • Adriana Salerno, Damaris Schindler, Amanda Tucker
    Pages 153-166

  8. On τ-Li Coefficients for Rankin–Selberg L-Functions

    • Alina Bucur, Anne-Maria Ernvall-Hytönen, Almasa Odžak, Edva Roditty-Gershon, Lejla Smajlović
    Pages 167-190

  9. Galois Representations and Galois Groups Over ℚ

    • Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker, Marusia Rebolledo, Lara Thomas, Núria Vila
    Pages 191-205
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Keywords

About this book

Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.

Editors and Affiliations

  • Number Theory, Jussieu Institute of Mathematics, Paris, France

    Marie José Bertin

  • Department of Mathematics, University of California, San Diego, La Jolla, USA

    Alina Bucur

  • Department of Mathematics, The City College of New York, New York, USA

    Brooke Feigon

  • Algebraic Analysis, Jussieu Institute of Mathematics, Paris, France

    Leila Schneps

Bibliographic Information

  • Book Title: Women in Numbers Europe

  • Book Subtitle: Research Directions in Number Theory

  • Editors: Marie José Bertin, Alina Bucur, Brooke Feigon, Leila Schneps

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-319-17987-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2015

  • Hardcover ISBN: 978-3-319-17986-5Published: 01 October 2015

  • Softcover ISBN: 978-3-319-36836-8Published: 23 August 2016

  • eBook ISBN: 978-3-319-17987-2Published: 22 September 2015

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: XIII, 205

  • Topics: Number Theory, Field Theory and Polynomials, Convex and Discrete Geometry

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