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: Harder Leland Название: Sources of Swiss Anabaptism ISBN: 0874862620 ISBN-13(EAN): 9780874862621 Издательство: Неизвестно Рейтинг: Цена: 8828.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The dramatic story of the genesis of the Anabaptist movement, told directly through the letters of its leaders and other primary documents. The 170 letters and documents in this volume portray how Conrad Grebel, a bright young Swiss patriot, became a fervent, influential leader of the sixteenth-century Anabaptist movement. The editor calls the book "a drama with five acts, prologue, and epilogue" with a cast of 107 characters. The main characters are Grebel himself and Huldrych Zwingli, the vicar at the Grossm nster in Zurich. The climax of the drama comes in January 1525 when Grebel performs the first rebaptisms, signaling the founding of a new church and the rejection of the Anabaptists by Zwingli. "These letters and documents are not published for scholars only," states the editor, "but for all seekers and believers." This is the fourth volume in the Classics of the Radical Reformation, a series of Anabaptist and Free Church documents translated and annotated under the direction of the Institute of Mennonite Studies.
Описание: Presents a collection of real-world stories about modern science and a cadre of scientists who use mapping and spatial analytics to expand their understanding of the world. These stories present GIS ideas and inspiration that users can apply across many disciplines, making this volume relevant to a diverse scientific audience.
Автор: Mcconnell, Mez Название: War - why did life just get harder? ISBN: 1527102971 ISBN-13(EAN): 9781527102972 Издательство: Неизвестно Рейтинг: Цена: 949.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part of the Usborne Key Skills series that supports the English lessons children learn at school, this book is filled with grammar and punctuation activities that help children create noun phrases, use pronouns and adverbials and write paragraphs. Wipe-clean pages offer endless practice, and answers and secret notes for grown-ups are at the back.
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.
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