This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.
The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel-Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin-Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations.
This book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.
Автор: Celia Davies, Jan Walmsley, Mike Hales, Ray Flux Название: Better health in harder times: Active citizens and innovation on the frontline ISBN: 1447306945 ISBN-13(EAN): 9781447306948 Издательство: Marston Book Services Рейтинг: Цена: 105590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book renews the collective compact that created our public services in the 1940s using voices from service users and service providers. Sections explore long-term conditions, service redesign, information technology, leadership, co-production and quality.
Автор: Jackson Robyn Renee Название: Never Work Harder Than Your Students and Other Principles of Great Teaching, 2nd Edition ISBN: 1416626522 ISBN-13(EAN): 9781416626527 Издательство: Неизвестно Рейтинг: Цена: 34900.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this updated edition of her best-seller, Jackson explains how you can make yourself a great teacher by learning to think and act like one.
Автор: Harder Gary Название: The Pastor-Congregation Duet ISBN: 1525530216 ISBN-13(EAN): 9781525530210 Издательство: Неизвестно Рейтинг: Цена: 20220.00 T Наличие на складе: Невозможна поставка. Описание: In a time of shifting worldviews and changing expectations of the church, how does a pastor navigate the challenges, joys, and pains of ministry? How does a church support, love, and hold accountable its pastoral leaders? The key lies in the relationship between pastor and congregation - in the duet they are singing, in the rhythms of their life together. In this book, Gary Harder reflects on the difficulties and rewards, the missteps and humour that are part of learning that ministry duet. Here he celebrates the mysterious ways God works through, and sometimes in spite of, the people singing God's songs together. We reach for harmony. We hear dissonant notes. We catch only a glimpse of God's beautiful music. And that is enough.
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