Special Values of Automorphic Cohomology Classes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Values of Automorphic Cohomology Classes write by Mark Green. This book was released on 2014-08-12. Special Values of Automorphic Cohomology Classes available in PDF, EPUB and Kindle. The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains which occur as open -orbits in the flag varieties for and , regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces give rise to Penrose transforms between the cohomologies of distinct such orbits with coefficients in homogeneous line bundles.
Cohomology of Arithmetic Groups and Automorphic Forms
Cohomology of Arithmetic Groups and Automorphic Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cohomology of Arithmetic Groups and Automorphic Forms write by Jean-Pierre Labesse. This book was released on 2006-11-14. Cohomology of Arithmetic Groups and Automorphic Forms available in PDF, EPUB and Kindle. Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.
Period Functions for Maass Wave Forms and Cohomology
Period Functions for Maass Wave Forms and Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Period Functions for Maass Wave Forms and Cohomology write by R. Bruggeman. This book was released on 2015-08-21. Period Functions for Maass Wave Forms and Cohomology available in PDF, EPUB and Kindle. The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups Γ⊂PSL2(R). In the case that Γ is the modular group PSL2(Z) this gives a cohomological framework for the results in Period functions for Maass wave forms. I, of J. Lewis and D. Zagier in Ann. Math. 153 (2001), 191-258, where a bijection was given between cuspidal Maass forms and period functions. The authors introduce the concepts of mixed parabolic cohomology group and semi-analytic vectors in principal series representation. This enables them to describe cohomology groups isomorphic to spaces of Maass cusp forms, spaces spanned by residues of Eisenstein series, and spaces of all Γ-invariant eigenfunctions of the Laplace operator. For spaces of Maass cusp forms the authors also describe isomorphisms to parabolic cohomology groups with smooth coefficients and standard cohomology groups with distribution coefficients. They use the latter correspondence to relate the Petersson scalar product to the cup product in cohomology.
Special Values of Automorphic Cohomology Classes
Special Values of Automorphic Cohomology Classes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Values of Automorphic Cohomology Classes write by Mark Green. This book was released on 2014. Special Values of Automorphic Cohomology Classes available in PDF, EPUB and Kindle. "Volume 231, number 1088 (fifth of 5 numbers), September 2014."
Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms
Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms write by Peter Stiller. This book was released on 1984. Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms available in PDF, EPUB and Kindle. In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL2([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the special values in the critical strip of the Dirichlet series associated to the cusp form.
