Stephen
S.Kudla是加拿大多伦多大学的研究教授,是数论、算术几何和表示论等专业领域的国际学术权威,他在这些领域作出了卓越贡献,并对相关领域的学术研究产生了深远影响。Kudla的学术成就获得了学术界的普遍认可。2000年,因其在数论研究方面的卓越成就,他被德国马普基金会和洪堡基金会授予Max-Planck-Forschungsprels奖。2002年,他受邀在国际数学家大会作45分钟报告。值其六十周岁生日之际,深受其影。向的诸多学生、同侪及同行合力出版此纪念文集来表达对Kudla教授的崇敬之情。《算术几何与自守形式》汇集了作者们在Kudla教授多年来关心、研究的领域中的一些最新结果,包括theta和算术theta提升、Siegel-Weil和算术Siegel-Well公式、Shimura蔟及自守形式方面的重要文章。《算术几何与自守形式》不仅对Kudla教授多年来所悉心研究的学术领域的现状进行了阐述,更为此领域今后的研究指明了新的方向。
目錄:
Preface
Jan H. Bruinier and Tonghai Yang: CM Values of Automorphic Green
Functions on Orthogonal Groups over Totally Real Fields
James W. Cogdell and Freydoon Shahidi: Some Generalized Functionals
and Their Bessel Functions
Jens Funke and John Millson: Spectacle Cycles with Coefficients and
Modular Forms of Half-integral Weight
Wee Teck Gan: A Regularized Siegel-Weil Formula for Exceptional
Groups
David Ginzburg, Dihua Jiang, Stephen RaUis, and David
Soudry:L-functions for Symplectic Groups Using Fourier-Jacobi
Models
Neven Grbac and Joachim Schwermer. An Exercise in Automorphic
Cohomology -- the Case GL2 over a Quaternion Algebra
Benedict H. Gross and Nolan R. Wallach: On the Hilbert Polynomials
and Hilbert Series of Homogeneous Projective Varieties
Michael Harris, Jian-Shu Li, and Binyong Sun : Theta
Correspondences for Close Unitary Groups
Benjamin Howard: Deforming Endomorphisms of Supersingular
Barsotti-Tate Groups
Benjamin Howard and Tonghai Yang: Singular Moduli Refined
Jay Jorgenson and Jiirg Kramer : Sup-norm Bounds for Automorphic
Forms and Eisenstein Series
Colette Moeglin: Conjecture d''Adams pour la correspondance de Howe
et filtration de Kudla
Brooks Roberts and Ralf Schmidt: On the Number of Local Newforms in
a Metaplectic Representation
Marie-France Vigneras: Le foncteur de Colmez pour GL2, F