Women in Numbers Europe: Research Directions in Number Theory (Association for Women in Mathematics Series Book 2)

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. Front Matter....Pages i-xiii Explicit Construction of Ramanujan Bigraphs....Pages 1-16 Classifications of Elliptic Fibrations of a Singular K3 Surface....Pages 17-49 Shalika Germs for \(\mathfrak{s}\mathfrak{l}_{n}\) and \(\mathfrak{s}\mathfrak{p}_{2n}\) Are Motivic....Pages 51-85 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....Pages 87-107 Bad Reduction of Genus Three Curves with Complex Multiplication....Pages 109-151 Symmetries of Rational Functions Arising in Ecalle’s Study of Multiple Zeta Values....Pages 153-166 On τ-Li Coefficients for Rankin–Selberg L-Functions....Pages 167-190 Galois Representations and Galois Groups Over Q....Pages 191-205 "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"--page [4] of cover 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, ĺlWomen in Numbers - Europeĺl (WINE), held on October 14ĺl18, 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 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.