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 - v. 7

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.Sample Chapter(s)Chapter 1: The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations (424 KB)Contents: The Birch and Swinnerton-Dyer Conjecture for ℚ-Curves and Oda's Period Relations (Henri Darmon, Victor Rotger and Yu Zhao)The Supremum of Newton Polygons of p-Divisible Groups with a given p-Kernel Type (Shushi Harashita)Borcherds Lifts on Sp2(ℤ) (Bernhard Heim and Atsushi Murase)The Archimedean Whittaker Functions on GL(3) (Miki Hirano, Taku Ishii and Tadashi Miyazaki)Arithmetic Properties of p-Adic Elliptic Logarithmic Functions (Noriko Hirata-Kohno)Spherical Functions on U(2n)/ (U(n) x U(n)) and Hermitian Siegel Series (Yumiko Hironaka)Fourier Transforms of Weighted Orbital Integrals on the Real Symplectic Group of Rank Two (Werner Hoffmann)An Atkin-Lehner Type Theorem on Siegel Modular Forms and Primitive Fourier Coefficients (T Ibukiyama and H Katsurada)Cohomology of Siegel Modular Varieties of Genus 2 and Corresponding Automorphic Forms (Takayuki Oda)Reducibility and Discrete Series in the Case of Classical p-Adic Groups; An Approach Based on Examples (Marko Tadić)A Survey on Voronoï's Theorem (Takao Watanabe)Readership: Professionals, researchers and graduate students in geometry and analysis of automorphic forms.