Special Values of Automorphic Cohomology Classes
Title | Special Values of Automorphic Cohomology Classes PDF eBook |
Author | Mark Green |
Publisher | |
Pages | 145 |
Release | 2014 |
Genre | Automorphic forms |
ISBN | 9781470417246 |
"Volume 231, number 1088 (fifth of 5 numbers), September 2014."
Special Values of Automorphic Cohomology Classes
Title | Special Values of Automorphic Cohomology Classes PDF eBook |
Author | Mark Green |
Publisher | American Mathematical Soc. |
Pages | 158 |
Release | 2014-08-12 |
Genre | Mathematics |
ISBN | 0821898574 |
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.
Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions
Title | Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions PDF eBook |
Author | Günter Harder |
Publisher | Princeton University Press |
Pages | 234 |
Release | 2019-12-03 |
Genre | Mathematics |
ISBN | 069119789X |
Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.
Cohomology of Arithmetic Groups and Automorphic Forms
Title | Cohomology of Arithmetic Groups and Automorphic Forms PDF eBook |
Author | Jean-Pierre Labesse |
Publisher | Springer |
Pages | 358 |
Release | 2006-11-14 |
Genre | Mathematics |
ISBN | 3540468765 |
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.
Cohomology of Arithmetic Groups and Automorphic Forms
Title | Cohomology of Arithmetic Groups and Automorphic Forms PDF eBook |
Author | Jean-Pierre Labesse |
Publisher | |
Pages | 368 |
Release | 2014-09-01 |
Genre | |
ISBN | 9783662204887 |
Holomorphic Automorphic Forms and Cohomology
Title | Holomorphic Automorphic Forms and Cohomology PDF eBook |
Author | Roelof Bruggeman |
Publisher | American Mathematical Soc. |
Pages | 182 |
Release | 2018-05-29 |
Genre | Mathematics |
ISBN | 1470428555 |
Automorphic Cohomology, Motivic Cohomology, and the Adjoint L-function
Title | Automorphic Cohomology, Motivic Cohomology, and the Adjoint L-function PDF eBook |
Author | Kartik A. Prasanna |
Publisher | |
Pages | 132 |
Release | 2021 |
Genre | Homology theory |
ISBN | 9782856299432 |
"We propose a relationship between the cohomology of arithmetic groups, and the motivic cohomology of certain (Langlands-)attached motives. The motivic cohomology group in question is that related, by Beilinson's conjecture, to the adjoint L-function at s=1. We present evidence for the conjecture using the theory of periods of automorphic forms, and using analytic torsion." --