Zvi Gal's Books

Automorphic Representations of Low Rank Groups

By: Yuval Zvi Flicker

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Automorphic Representations of Low Rank Groups

By: Yuval Zvi Flicker

The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called OC liftingsOCO. This book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E: F] = 2. The book develops the technique of comparison of twisted and stabilized trace formulae and considers the OC Fundamental LemmaOCO on orbital integrals of spherical functions. Comparison of trace formulae is simplified using OC regularOCO functions and the OC liftingOCO is stated and proved by means of character relations. This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, and a definition of packets for U(3), a proof of multiplicity one theorem and rigidity theorem for SL(2) and for U(3), a determination of the self-contragredient representations of PGL(3) and those on GL(3, E) fixed by transpose-inverse-bar. In particular, the multiplicity one theorem is new and recent. There are applications to construction of Galois representations by explicit decomposition of the cohomology of Shimura varieties of U(3) using Deligne''s (proven) conjecture on the fixed point formula. Sample Chapter(s). Chapter 1: Functoriality and Norms (963 KB). Contents: On the Symmetric Square Lifting: Functoriality and Norms; Orbital Integrals; Twisted Trace Formula; Total Global Comparison; Applications of a Trace Formula; Computation of a Twisted Character; Automorphic Representations of the Unitary Group U(3, E/F): Local Theory; Trace Formula; Liftings and Packets; Zeta Functions of Shimura Varieties of U(3): Automorphic Representations; Local Terms; Real Representations; Galois Representations. Readership: Graduate students and researchers in number theory, algebra and representation theory.

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499

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World Scientific

Published Date

ISBN 10

9812773622

ISBN 13

9789812773623

Automorphic Forms and Shimura Varieties of PGSp (2)

By: Yuval Zvi Flicker

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Automorphic Forms and Shimura Varieties of PGSp (2)

By: Yuval Zvi Flicker

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called ?liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,ó) in SL(4, ó). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum.Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations.To put these results in a general context, the book concludes with a technical introduction to Langlands' program in the area of automorphic representations. It includes a proof of known cases of Artin's conjecture.

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338

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World Scientific

Published Date

ISBN 10

9812564039

ISBN 13

9789812564030

Chemicals from Microalgae

By: Zvi Cohen

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Chemicals from Microalgae

By: Zvi Cohen

The production of chemicals from microalgae is becoming a significant area of biological research. Chemicals from Microalgae seeks to cover the various aspects that relate to the use of microalgae as a source of chemicals. The chapters discuss the occurrence and physiological role of these chemicals and concentrates on the methods aimed at enhancin

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442

Publisher

CRC Press

Published Date

ISBN 10

148229530X

ISBN 13

9781482295306

The Evil Inclination in Early Judaism and Christianity

By: Ishay Rosen-Zvi

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The Evil Inclination in Early Judaism and Christianity

By: Ishay Rosen-Zvi

One of the central concepts in rabbinic Judaism is the notion of the Evil Inclination, which appears to be related to similar concepts in ancient Christianity and the wider late antique world. The precise origins and understanding of the idea, however, are unknown. This volume traces the development of this concept historically in Judaism and assesses its impact on emerging Christian thought concerning the origins of sin. The chapters, which cover a wide range of sources including the Bible, the Ancient Versions, Qumran, Pseudepigrapha and Apocrypha, the Targums, and rabbinic and patristic literature, advance our understanding of the intellectual exchange between Jews and Christians in classical Antiquity, as well as the intercultural exchange between these communities and the societies in which they were situated.

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383

Publisher

Cambridge University Press

Published Date

ISBN 10

1108607284

ISBN 13

9781108607285

Goy

Israel's Multiple Others and the Birth of the Gentile

By: Adi Ophir,Ishay Rosen-Zvi

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Goy

Israel's Multiple Others and the Birth of the Gentile

By: Adi Ophir,Ishay Rosen-Zvi

Goy: Israel's Others and the Birth of the Gentile traces the development of the term and category of the goy from the Bible to rabbinic literature. Adi Ophir and Ishay Rosen-Zvi show that the category of the goy was born much later than scholars assume; in fact not before the first century CE. They explain that the abstract concept of the gentile first appeared in Paul's Letters. However, it was only in rabbinic literature that this category became the center of a stable and long standing structure that involved God, the Halakha, history, and salvation. The authors narrate this development through chronological analyses of the various biblical and post biblical texts (including the Dead Sea scrolls, the New Testament and early patristics, the Mishnah, and rabbinic Midrash) and synchronic analyses of several discursive structures. Looking at some of the goy's instantiations in contemporary Jewish culture in Israel and the United States, the study concludes with an examination of the extraordinary resilience of the Jew/goy division and asks how would Judaism look like without the gentile as its binary contrast.

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342

Publisher

Oxford University Press

Published Date

ISBN 10

0191062340

ISBN 13

9780191062346

Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$

By: Yuval Zvi Flicker

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Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$

By: Yuval Zvi Flicker

The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group Sp(2). These orbital integrals are compared with those on GL(4), twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form H\ G/K--where H is a subgroup containing the centralizer--plays a key role.

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Page Count

127

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809598

ISBN 13

9780821809594

The New Oxford Annotated Bible with the Apocryphal/Deuterocanonical Books

New Revised Standard Version

By: Marc Zvi Brettler,Carol Ann Newsom,Pheme Perkins

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The New Oxford Annotated Bible with the Apocryphal/Deuterocanonical Books

New Revised Standard Version

By: Marc Zvi Brettler,Carol Ann Newsom,Pheme Perkins

Presents the complete text of the New Revised Standard Version Bible, with the Aprocryphal/Deuterocanonical books; and features annotations in a single column across the page bottom, in-text background essays on the major divisions of the biblical text, and other reference tools.

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2494

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0195288807

ISBN 13

9780195288803

Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects

Mod P and P-adic Aspects

By: Fabrizio Andreatta,Eyal Zvi Goren

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Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects

Mod P and P-adic Aspects

By: Fabrizio Andreatta,Eyal Zvi Goren

We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expansion map and prove the existence of filtration for Hilbert modular forms; we define operators $U$, $V$ and $\Theta_\chi$ and study the variation of the filtration under these operators. Our methods are geometric - comparing holomorphic Hilbert modular forms with rational functions on a moduli scheme with level-$p$ structure, whose poles are supported on the non-ordinary locus.In the $p$-adic theory we study congruences between Hilbert modular forms. This applies to the study of congruences between special values of zeta functions of totally real fields. It also allows us to define $p$-adic Hilbert modular forms 'a la Serre' as $p$-adic uniform limit of classical modular forms, and compare them with $p$-adic modular forms 'a la Katz' that are regular functions on a certain formal moduli scheme. We show that the two notions agree for cusp forms and for a suitable class of weights containing all the classical ones. We extend the operators $V$ and $\Theta_\chi$ to the $p$-adic setting.

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114

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836099

ISBN 13

9780821836095

The Emergence Of Modern Jewish Politics

Bundism And Zionism In Eastern Europe

By: Zvi Gitelman

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The Emergence Of Modern Jewish Politics

Bundism And Zionism In Eastern Europe

By: Zvi Gitelman

The Emergence of Modern Jewish Politics examines the political, social, and cultural dimensions of Zionism and Bundism, the two major political movements among East European Jews during the first half of the twentieth century.While Zionism achieved its primary aim—the founding of a Jewish state—the Jewish Labor Bund has not only practically disappeared, but its ideals of socialism and secular Jewishness based in the diaspora seem to have failed. Yet, as Zvi Gitelman and the various contributors to this volume argue, it was the Bund that more profoundly changed the structure of Jewish society, politics, and culture.In thirteen essays, prominent historians, political scientists, and professors of literature discuss the cultural and political contexts of these movements, their impact on Jewish life, and the reasons for the Bund's demise, and they question whether ethnic minorities are best served by highly ideological or solidly pragmatic movements.

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286

Publisher

University of Pittsburgh Pre

Published Date

ISBN 10

0822970694

ISBN 13

9780822970699

Developing Students’ Statistical Reasoning

Connecting Research and Teaching Practice

By: Joan Garfield,Dani Ben-Zvi

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Developing Students’ Statistical Reasoning

Connecting Research and Teaching Practice

By: Joan Garfield,Dani Ben-Zvi

Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students’ learning. This is a unique book. While providing a wealth of examples through lessons and data sets, it is also the best attempt by members of our profession to integrate suggestions from research findings with statistics concepts and pedagogy. The book’s message about the importance of listening to research is loud and clear, as is its message about alternative ways of teaching statistics. This book will impact instructors, giving them pause to consider: "Is what I’m doing now really the best thing for my students? What could I do better?" J. Michael Shaughnessy, Professor, Dept of Mathematical Sciences, Portland State University, USA This is a much-needed text for linking research and practice in teaching statistics. The authors have provided a comprehensive overview of the current state-of-the-art in statistics education research. The insights they have gleaned from the literature should be tremendously helpful for those involved in teaching and researching introductory courses. Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA

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407

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402083831

ISBN 13

9781402083839

Number Theory

By: H. Kisilevsky,Eyal Zvi Goren,Canadian Number Theory Association. Conference

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Number Theory

By: H. Kisilevsky,Eyal Zvi Goren,Canadian Number Theory Association. Conference

Collects articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. This book covers topics such as algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation.

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329

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American Mathematical Soc.

Published Date

ISBN 10

0821833316

ISBN 13

9780821833315

EBOOK: Essentials of Investments: Global Edition

By: Zvi Bodie,Alex Kane,Alan Marcus

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EBOOK: Essentials of Investments: Global Edition

By: Zvi Bodie,Alex Kane,Alan Marcus

Introducing... Essentials of Investments, 9th Global Edition, by Zvi Bodie, Alex Kane and Alan J. Marcus. We are pleased to present this Global Edition, which has been developed specifically to meet the needs of international Investment students. A market leader in the field, this text emphasizes asset allocation while presenting the practical applications of investment theory without unnecessary mathematical detail. The ninth edition includes new coverage on the roots and fallout from the recent financial crisis and provides increased content on the changes in market structure and trading technology. Enhancements to this new Global Edition include: - New ‘On the market front’ boxes highlight important investment concepts in real world situations across the globe, to promote student thinking without taking a full case study approach. Topics include short-selling in Europe & Asia, credit default swaps and the debt crisis in Greece and include examples from Commerzbank, JP Morgan, Facebook, Coca-Cola, Santander, The European Energy Exchange, plus many more! - Revised worked examples illustrate problems using both real and fictional scenarios from across the world to help students develop their problem solving skills. Regional examples include Hutchinson Whampoa (Asia), The Emirates Group (The Middle East) and KLM Royal Dutch Airlines (The Netherlands). - Revised end-of chapter material includes brand new global questions and global internet exercises that feature currencies, companies and scenarios from Europe, Middle East, Africa and Asia to increase engagement for international students. - Global Edition of Connect Plus Finance, McGraw-Hill’s web-based assignment and assessment platform with eBook access, helps students learn faster, study more efficiently, and retain more knowledge. This Global Edition has been adapted to meet the needs of courses outside of the United States and does not align with the instructor and student resources available with the US edition.

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796

Publisher

McGraw Hill

Published Date

ISBN 10

0077148258

ISBN 13

9780077148256

Book's by Zvi Gal

Automorphic Representations of Low Rank Groups

Automorphic Representations of Low Rank Groups

Automorphic Forms and Shimura Varieties of PGSp (2)

Automorphic Forms and Shimura Varieties of PGSp (2)

Chemicals from Microalgae

Chemicals from Microalgae

The Evil Inclination in Early Judaism and Christianity

The Evil Inclination in Early Judaism and Christianity

Goy

Goy

Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$

Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$

The New Oxford Annotated Bible with the Apocryphal/Deuterocanonical Books

The New Oxford Annotated Bible with the Apocryphal/Deuterocanonical Books

Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects

Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects

The Emergence Of Modern Jewish Politics

The Emergence Of Modern Jewish Politics

Developing Students’ Statistical Reasoning

Developing Students’ Statistical Reasoning

Number Theory

Number Theory

EBOOK: Essentials of Investments: Global Edition

EBOOK: Essentials of Investments: Global Edition

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