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Modular Forms on Schiermonnikoog

Modular Forms on Schiermonnikoog

£103.00

Bas Edixhoven, Gerard van der Geer, Ben Moonen, Siegfried Böcherer, Hidenori Katsurada, Rainer Shulze-Pillot, Kathrin Bringmann, Jan Hendrik Bruinier, Winfried Kohnen, Robin de Jong, Luis Dieulefait, Bernhard Heim, Tomoyoshi Ibukiyama, Andrew Knightly, Charles Li, Yuri I. Manin, Matilde Marcolli, Nils-Peter Skoruppa, Rainer Weissauer, Martin H. Weissman, Gabor Wiese
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  • Date Published: November 2008
  • availability: In stock
  • format: Hardback
  • isbn: 9780521493543

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About the Authors
  • Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspiration for Langlands' conjectures and play an important role in the description of the cohomology of varieties defined over number fields. This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and algebraic geometry.

    • Collection of articles by leaders in the field; presents the state of the art in modular forms
    • Topics covered include Siegel modular forms, Hecke eigenvalues of Hilbert modular forms, Weil representations, Tannakian categories and Torelli's theorem
    • Ideal for academic researchers and graduate students in number theory and algebraic geometry; string theorists will also find the collection of interest
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    Product details

    • Date Published: November 2008
    • format: Hardback
    • isbn: 9780521493543
    • length: 360 pages
    • dimensions: 234 x 157 x 23 mm
    • weight: 0.62kg
    • contains: 20 tables
    • availability: In stock
  • Table of Contents

    Preface
    Contributors
    1. Modular forms Bas Edixhoven, Gerard van der Geer and Ben Moonen
    2. On the basis problem for Siegel modular forms with level Siegfried Böcherer, Hidenori Katsurada and Rainer Shulze-Pillot
    3. Mock theta functions, weak Maass forms, and applications Kathrin Bringmann
    4. Sign changes of coefficients of half integral weight modular forms Jan Hendrik Bruinier and Winfried Kohnen
    5. Gauss map on the theta divisor and Green's functions Robin de Jong
    6. A control theorem for the images of Galois actions on certain infinite families of modular forms Luis Dieulefait
    7. Galois realizations of families of Projective Linear Groups via cusp forms Luis Dieulefait
    8. A strong symmetry property of Eisenstein series Bernhard Heim
    9. A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences Tomoyoshi Ibukiyama
    10. Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms Andrew Knightly and Charles Li
    11. Modular shadows and the Lévy-Mellin ∞-adic transform Yuri I. Manin and Matilde Marcolli
    12. Jacobi forms of critical weight and Weil representations Nils-Peter Skoruppa
    13. Tannakian categories attached to abelian varieties Rainer Weissauer
    14. Torelli's theorem from the topological point of view Rainer Weissauer
    15. Existence of Whittaker models related to four dimensional symplectic Galois representations Rainer Weissauer
    16. Multiplying modular forms Martin H. Weissman
    17. On projective linear groups over finite fields Gabor Wiese.

  • Editors

    Bas Edixhoven, Universiteit Leiden
    Bas Edixhoven is a professor in the Mathematical Institute at Leiden University, Netherlands.

    Gerard van der Geer, Universiteit van Amsterdam
    Gerard van der Geer is Professor of Algebra in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam.

    Ben Moonen, Universiteit van Amsterdam
    Ben Moonen is a professor in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam.

    Contributors

    Bas Edixhoven, Gerard van der Geer, Ben Moonen, Siegfried Böcherer, Hidenori Katsurada, Rainer Shulze-Pillot, Kathrin Bringmann, Jan Hendrik Bruinier, Winfried Kohnen, Robin de Jong, Luis Dieulefait, Bernhard Heim, Tomoyoshi Ibukiyama, Andrew Knightly, Charles Li, Yuri I. Manin, Matilde Marcolli, Nils-Peter Skoruppa, Rainer Weissauer, Martin H. Weissman, Gabor Wiese

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