Cocycles de groupe pour $mathrm {GL}_n$ et arrangements d’hyperplans

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Publisher : American Mathematical Society, Centre de Recherches Mathématiques
ISBN 13 : 1470474115
Total Pages : 146 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Cocycles de groupe pour $mathrm {GL}_n$ et arrangements d’hyperplans by : Nicolas Bergeron

Download or read book Cocycles de groupe pour $mathrm {GL}_n$ et arrangements d’hyperplans written by Nicolas Bergeron and published by American Mathematical Society, Centre de Recherches Mathématiques. This book was released on 2023-10-16 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre constitue un exposé détaillé de la série de cours donnés en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montréal. L'objet de ce texte est une ample généralisation d'une famille d'identités classiques, notamment la formule d'addition de la fonction cotangente ou celle des séries d'Eisenstein. Le livre relie ces identités à la cohomologie de certains sous-groupes arithmétiques du groupe linéaire général. Il rend explicite ces relations au moyen de la théorie des symboles modulaires de rang supérieur, dévoilant finalement un lien concret entre des objets de nature topologique et algébrique. This book provides a detailed exposition of the material presented in a series of lectures given in 2020 by Prof. Nicolas Bergeron while he held the Aisenstadt Chair at the CRM in Montréal. The topic is a broad generalization of certain classical identities such as the addition formulas for the cotangent function and for Eisenstein series. The book relates these identities to the cohomology of arithmetic subgroups of the general linear group. It shows that the relations can be made explicit using the theory of higher rank modular symbols, ultimately unveiling a concrete link between topological and algebraic objects. I think that the text “Cocycles de groupe pour $mathrm{GL}_n$ et arrangements d'hyperplans” is terrific. I like how it begins in a leisurely, enticing way with an elementary example that neatly gets to the topic. The construction of these “meromorphic function”-valued modular symbols are fundamental objects, and play (and will continue to play) an important role. —Barry Mazur, Harvard University

The Spectrum of Hyperbolic Surfaces

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Publisher : Springer
ISBN 13 : 3319276662
Total Pages : 375 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Spectrum of Hyperbolic Surfaces by : Nicolas Bergeron

Download or read book The Spectrum of Hyperbolic Surfaces written by Nicolas Bergeron and published by Springer. This book was released on 2016-02-19 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss. The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.

L2-Invariants: Theory and Applications to Geometry and K-Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662046873
Total Pages : 604 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis L2-Invariants: Theory and Applications to Geometry and K-Theory by : Wolfgang Lück

Download or read book L2-Invariants: Theory and Applications to Geometry and K-Theory written by Wolfgang Lück and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms

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Publisher : Springer
ISBN 13 : 3319952315
Total Pages : 364 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms by : Volker Heiermann

Download or read book Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms written by Volker Heiermann and published by Springer. This book was released on 2018-10-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers. Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups. The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.

Automorphic Forms, Representations and $L$-Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814370
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel

Download or read book Automorphic Forms, Representations and $L$-Functions written by Armand Borel and published by American Mathematical Soc.. This book was released on 1979-06-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Harmonic Analysis, the Trace Formula, and Shimura Varieties

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821838440
Total Pages : 708 pages
Book Rating : 4.8/5 (384 download)

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Book Synopsis Harmonic Analysis, the Trace Formula, and Shimura Varieties by : Clay Mathematics Institute. Summer School

Download or read book Harmonic Analysis, the Trace Formula, and Shimura Varieties written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2005 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.

Uniformization of Riemann Surfaces

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Publisher :
ISBN 13 : 9783037191453
Total Pages : 0 pages
Book Rating : 4.1/5 (914 download)

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Book Synopsis Uniformization of Riemann Surfaces by : Henri Paul de Saint-Gervais

Download or read book Uniformization of Riemann Surfaces written by Henri Paul de Saint-Gervais and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1907, Paul Koebe and Henri Poincare almost simultaneously proved the uniformization theorem: Every simply connected Riemann surface is isomorphic to the plane, the open unit disc, or the sphere. It took a whole century to get to the point of stating this theorem and providing a convincing proof of it, relying as it did on prior work of Gauss, Riemann, Schwarz, Klein, Poincare, and Koebe, among others. The present book offers an overview of the maturation process of this theorem. The evolution of the uniformization theorem took place in parallel with the emergence of modern algebraic geometry, the creation of complex analysis, the first stirrings of functional analysis, and with the flowering of the theory of differential equations and the birth of topology. The uniformization theorem was, thus, one of the lightning rods of 19th century mathematics. Rather than describe the history of a single theorem, the book aims to return to the original proofs, to look at these through the eyes of modern mathematicians, to inquire as to their correctness, and to attempt to make them rigorous while respecting, as much as possible, the state of mathematical knowledge at the time, or, if this should prove impossible, then to use modern mathematical tools that were not available to the authors of the original proofs. This book will be useful to mathematicians wishing to cast a glance back at the history of their discipline. It should also provide graduate students with a non-standard approach to concepts of great importance for modern research.

Primary English. Per la 3ª Classe Elementare

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Publisher :
ISBN 13 : 9788847232631
Total Pages : pages
Book Rating : 4.2/5 (326 download)

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Book Synopsis Primary English. Per la 3ª Classe Elementare by :

Download or read book Primary English. Per la 3ª Classe Elementare written by and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Match Annual 2017

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Publisher : Pan Macmillan
ISBN 13 : 1509821201
Total Pages : 96 pages
Book Rating : 4.5/5 (98 download)

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Book Synopsis Match Annual 2017 by : MATCH

Download or read book Match Annual 2017 written by MATCH and published by Pan Macmillan. This book was released on 2016-09-22 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the makers of the UK's best football magazine! Year in, year out, MATCH remains the bestselling football annual and is what footy fans everywhere put at the top of their Christmas wishlist! Inside the annual, you can build your Ultimate Player, check out the wonderkids who'll rip up 2017 and find out everything you need to know about Messi, Pogba, Rashford, Aubameyang, Aguero, Di Maria and Higuain! Plus, it's packed with stars’ cars, Prem club legends, Euro 2016’s best moments, brain-busting quizzes, FIFA through the ages, mad pics, footy stars as emojis, crazy cartoons and loads more! Don't miss it!

Complete Key for Schools Workbook with Answers with Audio CD

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Publisher : Cambridge University Press
ISBN 13 : 0521124395
Total Pages : 78 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Complete Key for Schools Workbook with Answers with Audio CD by : Sue Elliott

Download or read book Complete Key for Schools Workbook with Answers with Audio CD written by Sue Elliott and published by Cambridge University Press. This book was released on 2013-01-17 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete Key for Schools is official preparation for the Cambridge English: Key (KET) for Schools exam. It combines the very best in contemporary classroom practice with engaging topics aimed at younger students. The information, practice and advice contained in the course ensure that they are fully prepared for all parts of the test, with strategies and skills to maximise their score. This Workbook without answers includes 14 topic-based units for homework which cover reading, writing and listening skills. It provides further practice in the grammar and vocabulary taught in the Student's Book. The Audio CD contains all the listening material for the Workbook. A Workbook without answers is also available.

How to Say I Love You Out Loud

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Publisher : Macmillan
ISBN 13 : 1250063620
Total Pages : 224 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis How to Say I Love You Out Loud by : Karole Cozzo

Download or read book How to Say I Love You Out Loud written by Karole Cozzo and published by Macmillan. This book was released on 2015-08-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Jordyn Michaelson's autistic brother joins her at her elite school, she's determined not to let anyone know they're related. Even if that means closing herself off to all her closest friends, including charming football stud Alex Colby. But despite her best intentions, she just can't shake the memory of kissing Alex last summer, and the desire to do it again. Can Jordyn find the courage to tell Alex how she really feels—and the truth about her family—before he slips away forever?

Complete IELTS Bands 6.5-7.5 Workbook Without Answers with Audio CD

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Publisher : Cambridge University Press
ISBN 13 : 1107664446
Total Pages : 63 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Complete IELTS Bands 6.5-7.5 Workbook Without Answers with Audio CD by : Rawdon Wyatt

Download or read book Complete IELTS Bands 6.5-7.5 Workbook Without Answers with Audio CD written by Rawdon Wyatt and published by Cambridge University Press. This book was released on 2013-02-14 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete IELTS combines the very best in contemporary classroom practice with stimulating topics aimed at young adults wanting to study at university. This course covers all parts of the IELTS exam in detail, providing information, advice and practice to ensure that students are fully prepared for every aspect of the exam. Informed by the Cambridge English Corpus, Complete IELTS includes examples and exercises which tackle key IELTS problem areas, making it the most authoritative IELTS exam preparation course available. The Workbook without Answers with Audio CD contains extra practice corresponding to the units of the Student's Book.

Top 10 of Britain

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Publisher : Hamlyn
ISBN 13 : 0600622517
Total Pages : 292 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Top 10 of Britain by : Russell Ash

Download or read book Top 10 of Britain written by Russell Ash and published by Hamlyn. This book was released on 2009-05-05 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of "Hamlyn's Top 10 of Everything" series comes a special collection of 250 unique lists that observe of the idiosyncrasies of our Isles and encompass everything British. Discover hundreds of essential, intriguing and bizarre facts about your country's most iconic subjects, including: the 10 most produced plays by Shakespeare; 10 defunct British national holidays; the 10 longest seaside piers; the 10 lowest-scoring UK Eurovision entries; the 10 latest winners of the World Conker Championships; the 10 first performed Gilbert & Sullivan operas; the Top 10 singles of all time banned by the BBC; 10 unusual British laws; the Top 10 Tesco's lines; the 10 latest winners of the Pub of the Year award ...plus 240 other fascinating lists in this at-a-glance guide to what makes Britain great.

The Square. Elementary English. Per la Scuola Elementare

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Publisher :
ISBN 13 : 9788898438655
Total Pages : 104 pages
Book Rating : 4.4/5 (386 download)

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Book Synopsis The Square. Elementary English. Per la Scuola Elementare by : Santina Spiriti

Download or read book The Square. Elementary English. Per la Scuola Elementare written by Santina Spiriti and published by . This book was released on 2014 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Appropriating Kartini

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Publisher : ISEAS-Yusof Ishak Institute
ISBN 13 : 981484392X
Total Pages : 208 pages
Book Rating : 4.8/5 (148 download)

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Book Synopsis Appropriating Kartini by : Paul Bijl

Download or read book Appropriating Kartini written by Paul Bijl and published by ISEAS-Yusof Ishak Institute. This book was released on 2020-01-10 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This collection of essays demonstrates vividly how and why the life and writings of Kartini spark different meanings to different people across different continents and times for a wide range of reasons. Truly engaging and enlightening."—Professor Dr Ariel Heryanto, Herb Feith Professor for the Study of Indonesia at Monash University, and author of Identity and Pleasure: The Politics of Indonesian Screen Culture "An icon of colonial Indonesia and a postcolonial intellectual avant la lettre, Kartini straddles the subtle terrain between feminism, politics and memory. This beautifully crafted volume goes beyond the analysis of Kartini’s contested legacy as a national figure. It instead engages in an original way with Kartini as a highly remediated transnational celebrity, who has become a 'floating signifier'. This volume’s timely contribution is to reposition Kartini’s life, legacy and afterlife within the intersectional dynamics of gender, race, class, religion and sexuality that so shaped the origin, interpretation and impact of the 'Javanese princess' across time and space."—Professor Dr Sandra Ponzanesi, Professor of Gender and Postcolonial Studies, Utrecht University, The Netherlands, and author of The Postcolonial Cultural Industry: Icons, Markets, Mythologies "This rich collection of essays on the appropriation of Indonesian national heroine and international feminist icon Kartini provides an incisive insight into the multiple ways her brilliant letters have been read, interpreted and used. Progressive colonial administrators, anti-colonial nationalists, socialist feminists and conservative feminists during the military dictatorship of President Suharto alike appropriated her life and work to further their own divergent causes. I hope this anthology stimulates the (re) reading of the inspiring and still highly relevant words of this gifted, complex, rebellious Javanese woman, who died in childbirth at such a young age."—Professor Dr Saskia E. Wieringa, Professor of Gender and Women’s Same-sex Relations Cross-culturally, University of Amsterdam, author of Sexual Politics in Indonesia, and co-founder of the Kartini Asia Network

Cambridge IGCSE Business Studies Study and Revision Guide 2nd edition

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Publisher : Hodder Education
ISBN 13 : 1471856577
Total Pages : 203 pages
Book Rating : 4.4/5 (718 download)

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Book Synopsis Cambridge IGCSE Business Studies Study and Revision Guide 2nd edition by : Karen Borrington

Download or read book Cambridge IGCSE Business Studies Study and Revision Guide 2nd edition written by Karen Borrington and published by Hodder Education. This book was released on 2015-12-21 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing guidance that helps students practice and troubleshoot their exam technique, these books send them into their exam with the confidence to aim for the best grades. - Enables students to avoid common misconceptions and mistakes by highlighting them throughout - Builds students' skills constructing and writing answers as they progress through a range of practice questions - Allows students to mark their own responses and easily identify areas for improvement using the answers in the back of the book - Helps students target their revision and focus on important concepts and skills with key objectives at the beginning of every chapter - Ensures that students maximise their time in the exam by including examiner's tops and suggestions on how to approach the questions - Contextualise knowledge with case studies This title has not been through the Cambridge International Examinations endorsement process.

MAMista

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Publisher : HarperCollins UK
ISBN 13 : 0007450850
Total Pages : 311 pages
Book Rating : 4.0/5 (74 download)

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Book Synopsis MAMista by : Len Deighton

Download or read book MAMista written by Len Deighton and published by HarperCollins UK. This book was released on 2011-09-29 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep in Marxist Guerilla territory a hopeless war is being fought.