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El. knyga: Modular Forms on Schiermonnikoog

Edited by (Universiteit van Amsterdam), Edited by (Universiteit van Amsterdam), Edited by (Universiteit Leiden)
  • Formatas: PDF+DRM
  • Išleidimo metai: 27-Nov-2008
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9780511451423
Kitos knygos pagal šią temą:
Modular Forms on SchiermonnikoogDidesnis paveikslėlis
  • Formatas: PDF+DRM
  • Išleidimo metai: 27-Nov-2008
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9780511451423
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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.

Daugiau informacijos

A collection of articles presenting the state of the art in the topic of modular forms.
Preface vii
List of contributors
viii
Modular Forms
1(12)
Bas Edixhoven
Gerard van der Geer
Ben Moonen
On the basis problem for Siegel modular forms with level
13(16)
Siegfried Bocherer
Hidenori Katsurada
Rainer Schulze-Pillot
Mock theta functions, weak Maass forms, and applications
29(28)
Kathrin Bringmann
Sign changes of coefficients of half integral weight modular forms
57(10)
Jan Hendrik Bruinier
Winfried Kohnen
Gauss map on the theta divisor and Green's functions
67(12)
Robin de Jong
A control theorem for the images of Galois actions on certain infinite families of modular forms
79(6)
Luis Dieulefait
Galois realizations of families of Projective Linear Groups via cusp forms
85(8)
Luis Dieulefait
A strong symmetry property of Eisenstein series
93(14)
Bernhard Heim
A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences
107(38)
Tomoyoshi Ibukiyama
Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms
145(44)
Andrew Knightly
Charles Li
Modular shadows and the Levy-Mellin ∞-adic transform
189(50)
Yuri I. Manin
Matilde Marcolli
Jacobi forms of critical weight and Weil representations
239(28)
Nils-Peter Skoruppa
Tannakian Categories attached to abelian varieties
267(8)
Rainer Weissauer
Torelli's theorem from the topological point of view
275(10)
Rainer Weissauer
Existence of Whittaker models related to four dimensional symplectic Galois representations
285(26)
Rainer Weissauer
Multiplying Modular Forms
311(32)
Martin H. Weissman
On projective linear groups over finite fields as Galois groups over the rational numbers
343
Gabor Wiese
Bas Edixhoven is a professor in the Mathematical Institute at Leiden University, Netherlands. Gerard van der Geer is Professor of Algebra in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam. Ben Moonen is a professor in the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam.
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