Geometry and Analysis of Automorphic Forms of Several Variables: Proceedings of the International Symposium in Honor of Takayuki Oda on the Occasion of His 60th Birthday, Tokyo, Japan, 14-17 September 2009

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Yoshinori Hamahata
World Scientific, 2012 - Automorphic forms - 388 pages
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This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda''s 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.
 

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Contents

The Birch and SwinnertonDyer conjecture for Qcurves and Odas period relations Henri Darmon Victor Rotger and Yu Zhao
1
The supremum of Newton polygons of pdivisible groups with a given pkernel type Shushi Harashita
41
Borcherds lifts on Sp2Z Bernhard Heim and Atsushi Murase
56
The archimedean Whittaker functions on GL3 Miki Hirano Taku Ishii and Tadashi Miyazaki
77
Arithmetic properties of padic elliptic logarithmic functions Noriko HirataKohno
110
Spherical functions on U2nUn Un and hermitian Siegel series Yumiko Hironaka
120
Fourier transforms of weighted orbital integrals on the real symplectic group of rank two Werner Hoffmann
160
An AtkinLehner type theorem on Siegel modular forms and primitive Fourier coecients T Ibukiyama and H Katsurada
196
Cohomology of Siegel modular varieties of genus 2 and corresponding automorphic forms Takayuki Oda
211
Reducibility and discrete series in the case of classical padic groups an approach based on examples Marko Tadic
254
A survey on Voronoıs theorem Takao Watanabe
334
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