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Arithmetic geometry and number theory

By: Contributor(s): Material type: TextTextLanguage: English Series: Series on number theory and its applications ; 1Publication details: London World Scientific 2006Description: vii, 400pISBN:
  • 981256814X (HB)
Subject(s):
Contents:
1 On local [gamma]-factors / D.H. Jiang 2 Deligne pairings over moduli spaces of punctured Riemann surfaces / K. Obitsu, W.-K. To, and L. Weng 3 Vector bundles on curves over Cp / A. Werner 4 Absolute CM-periods : complex and [rho]-adic / H. Yoshida 5 Special zeta values in positive characteristic / J. Yu 6 Automorphic forms, Eisenstein series and spectral decompositions / L. Weng 7 Geometric arithmetic : a program / L. Weng
Summary: Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations. More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of specia.
Item type: BOOKS
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Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.7+511 WEN (Browse shelf(Opens below)) Available 59508

Includes index

Includes bibliographical references

1 On local [gamma]-factors / D.H. Jiang
2 Deligne pairings over moduli spaces of punctured Riemann surfaces / K. Obitsu, W.-K. To, and L. Weng
3 Vector bundles on curves over Cp / A. Werner
4 Absolute CM-periods : complex and [rho]-adic / H. Yoshida
5 Special zeta values in positive characteristic / J. Yu
6 Automorphic forms, Eisenstein series and spectral decompositions / L. Weng
7 Geometric arithmetic : a program / L. Weng

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations. More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of specia.

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The Institute of Mathematical Sciences, Chennai, India