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Ernst Zermelo Heinz-Dieter Ebbinghaus in Cooperation with Volker Peckhaus Ernst Zermelo
Ernst Zermelo Heinz-Dieter Ebbinghaus In Cooperation with Volker Peckhaus Ernst Zermelo An Approach to His Life and Work With 42 Illustrations 123 Heinz-Dieter Ebbinghaus Mathematisches Institut Abteilung für Mathematische Logik Universität Freiburg Eckerstraße 1 79104 Freiburg, Germany E-mail: [email protected] Volker Peckhaus Kulturwissenschaftliche Fakultät Fach Philosophie Universität Paderborn War burger St raße 100 33098 Paderborn, Germany E-mail: [email protected] Library of Congress Control Number: 2007921876 Mathematics Subject Classification (2000): 01A70, 03-03, 03E25, 03E30, 49-03, 76-03, 82-03, 91-03 ISBN 978-3-540-49551-2 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broad- casting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant pro- tective laws and regulations and therefore free for general use. Typesetting by the author using a Springer TEX macro package Production: LE-TEX Jelonek, Schmidt & Vöckler GbR, Leipzig Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper 46/3100/YL - 5 4 3 2 1 0 To the memory of Gertrud Zermelo (1902–2003) Preface Ernst Zermelo is best-known for the explicit statement of the axiom of choice and his axiomatization of set theory. -
Issue 73 ISSN 1027-488X
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Feature History Interview ERCOM Hedgehogs Richard von Mises Mikhail Gromov IHP p. 11 p. 31 p. 19 p. 35 September 2009 Issue 73 ISSN 1027-488X S E European M M Mathematical E S Society Geometric Mechanics and Symmetry Oxford University Press is pleased to From Finite to Infinite Dimensions announce that all EMS members can benefit from a 20% discount on a large range of our Darryl D. Holm, Tanya Schmah, and Cristina Stoica Mathematics books. A graduate level text based partly on For more information please visit: lectures in geometry, mechanics, and symmetry given at Imperial College www.oup.co.uk/sale/science/ems London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the FORTHCOMING subject. Differential Equations with Linear 2009 | 460 pp Algebra Paperback | 978-0-19-921291-0 | £29.50 Matthew R. Boelkins, Jack L Goldberg, Hardback | 978-0-19-921290-3 | £65.00 and Merle C. Potter Explores the interplaybetween linear FORTHCOMING algebra and differential equations by Thermoelasticity with Finite Wave examining fundamental problems in elementary differential equations. This Speeds text is accessible to students who have Józef Ignaczak and Martin completed multivariable calculus and is appropriate for Ostoja-Starzewski courses in mathematics and engineering that study Extensively covers the mathematics of systems of differential equations. two leading theories of hyperbolic October 2009 | 464 pp thermoelasticity: the Lord-Shulman Hardback | 978-0-19-538586-1 | £52.00 theory, and the Green-Lindsay theory. Oxford Mathematical Monographs Introduction to Metric and October 2009 | 432 pp Topological Spaces Hardback | 978-0-19-954164-5 | £70.00 Second Edition Wilson A. -
Orientalium Linguarum Bibliotheca» in 17Th-Century Vienna: Sebastian Tengnagel and the Trajectories of His Manuscripts
Hülya Çelik - Chiara Petrolini* Establishing an «Orientalium linguarum Bibliotheca» in 17th-century Vienna: Sebastian Tengnagel and the trajectories of his manuscripts 1. «Insatiabilis cupiditas»: fragments of an apprenticeship n January 1630, Lucas Holstenius was on his way to Poland, where Cardinal Francesco Barberini had sent him to negotiate with King ISigismund and bring the red hat to Monsignore Santacroce, the papal nuncio in Warsaw. Stopping in Vienna, Holstenius had a long * Sections 1 and 2 of this contribution are written by Chiara Petrolini and 3 and 4 by Hülya Çelik. This article stems from the research project The Oriental Outpost of the Repu- blic of Letters. Sebastian Tengnagel (d. 1636), the Imperial Library in Vienna and Knowledge about the Orient, carried out by Hülya Çelik, Paola Molino, Chiara Petrolini, Claudia Römer, Thomas Wallnig, and funded by the Austrian Science Fund (FWF P-30511 – running from January 2018 to the end of 2021), see Oorpl 2018. The outcomes of the research will be extensively presented in a book cur- rently in preparation by the project team members, to be titled: Court Librarian Sebastian Tengnagel, Central European Christianity and Knowledge about the Orient, 1600–1640. A first version of this paper was presented at the conferen- ce Was wäre die Bibliothek ohne Bibliothekare? Die Wiener Hofbibliothek im Spannungsfeld von Macht und Öffentlichkeit, held by the Institute for Austrian Historical Research on 19–20 November 2018 in Vienna. Bibliothecae.it, 10 (2021), 1, 175-231 Saggi DOI <10.6092/issn.2283-9364/13081> Bibliothecae.it Hülya Çelik - Chiara Petrolini 10 (2021), 1, 176-231 Establishing an «Orientalium linguarum Bibliotheca» Saggi in 17th-century Vienna conversation with Emperor Ferdinand and then visited the Imperial Library. -
A Rc H Iv Eof Th E B E Rlin
Archive of the Berlin-Brandenburg Academy of Sciences and Humanities KARL WEIERSTRASS (1815-1897) EL PADRE DEL ANÁLISIS MATEMÁTICO Mª Rosa Massa Esteve Un día cualquiera de 1873, en la Universidad de Berlín, do que no quería estudiar esa carrera. Sin embargo, los estudiantes se apuraban para llegar puntuales a las en Bonn había empezado a leer obras de matemáticas siempre motivadoras clases del profesor Karl Weiers- como el Traité de Mécanique celeste (1799-1825) de trass (1815-1897), considerado como el padre del aná- Pierre Simon Laplace (1749-1827) que le impresiona- lisis matemático. Muchos teoremas fundamentales de ron. También leyó la obra de Carl Gustav Jakob Jacobi las ramas del análisis llevan su nombre, ya sea porque (1804-1851), Fundamenta nova theoriae functionum él los descubrió o por haber sido el primero en darles ellipticarum (1829), aunque le resultó demasiado com- una demostración completa y rigurosa. Sin embargo, si plicada. Entonces decidió leer una obra anterior de su aportación a la matemática es relevante no es menos Adrien-Marie Legendre (1752-1833), Traité des fonc- interesante su vertiente humana y su contribución a la tions elliptiques (1825), y apuntes de las clases sobre creación de los seminarios universitarios donde se ori- funciones elípticas del que sería posteriormente su ginaron gran parte de los logros científicos del siglo XX. maestro, Christoff Gudermann (1798-1852). Estas lecturas, así como la carta de Niels Henrik Abel a Legendre del año 1830 en la revista Journal de ■ LOS AÑOS DE ESTUDIANTE DE WEIERSTRASS Crelle, le decidieron a estudiar matemáticas. Weiers- Karl Weierstrass nació el 31 de octubre de 1815 en trass lo explica más tarde, en una carta al matemático Ostenfelde, distrito de Warendorf (Prusia, actualmen- Marius Sophus Lie (1842-1899), el 10 de abril de 1882: te Alemania). -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
California Virtual Book Fair 2021
Bernard Quaritch Ltd 50 items for the 2021 Virtual California Book Fair BERNARD QUARITCH LTD 36 Bedford Row, London, WC1R 4JH tel.: +44 (0)20 7297 4888 fax: +44 (0)20 7297 4866 email: [email protected] web: www.quaritch.com Front cover image from item 20. LALIEU, Paul and Nicolas Joseph BEAUTOUR. P[hiloso]phia particularis Inside cover background from item 8. [CANONS REGULAR OF THE LATERAN]. Regula et constitutiones Canonicorum Regularium Last page images from item 13. [CUSTOMARY LAW]. Rechten, ende costumen van Antwerpen. and item 29. MARKHAM, Cavalarice, or the English Horseman Bankers: Barclays Bank PLC 1 Churchill Place London E14 5HP Sort code: 20-65-90 Account number: 10511722 Swift code: BUKBGB22 Sterling account: IBAN: GB71 BUKB 2065 9010 5117 22 Euro account: IBAN: GB03 BUKB 2065 9045 4470 11 U.S. Dollar account: IBAN: GB19 BUKB 2065 9063 9924 44 VAT number: GB 322 4543 31 ALDROVANDI'S QUADRUPEDS IN FIRST EDITION 1. ALDROVANDI, Ulisse. De quadrupedibus solidipedibus volume integrum … cum indice copiosissimo. Bologna, Vittoria Benacci for Girolamo Tamburini, 1616. [with:] Quadrupedum omnium bisulcorum historia … ucm indice copiosissimo. Bologna, Sebastiano Bonomi for Girolamo Tamburini, 1621. [and:] De quadrupedibus digitatis viviparis libri tres, et de quadrupedibus digitatis oviparis libri duo … cum indice memorabiliumetvariarumlinguarumcopiosissimo. Bologna,NicolaoTebaldiniforMarcoAntonioBernia,1637. 3 vols, folio, pp. 1: [8], 495, [1 (blank)], [30], [2 (colophon, blank)], 2: [11], [1 (blank)], 1040, [12], 3: [8], 492, ‘495-718’ [i.e. 716], [16];eachtitlecopper-engravedbyGiovanniBattistaCoriolano,withwoodcutdevicestocolophons,over200largewoodcutillustrations (12, 77, and 130 respectively), woodcut initials and ornaments; a few leaves lightly foxed and occasional minor stains, a little worming to early leaves vol. -
LONG-TERM HISTORY and EPHEMERAL CONFIGURATIONS Catherine Goldstein
LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS Catherine Goldstein To cite this version: Catherine Goldstein. LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS. Interna- tional Congress of Mathematicians, Aug 2018, Rio de Janeiro, Brazil. pp.487-522. hal-02334505 HAL Id: hal-02334505 https://hal.archives-ouvertes.fr/hal-02334505 Submitted on 29 Oct 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS CATHERINE GOLDSTEIN Abstract. Mathematical concepts and results have often been given a long history, stretching far back in time. Yet recent work in the history of mathe- matics has tended to focus on local topics, over a short term-scale, and on the study of ephemeral configurations of mathematicians, theorems or practices. The first part of the paper explains why this change has taken place: a renewed interest in the connections between mathematics and society, an increased at- tention to the variety of components and aspects of mathematical work, and a critical outlook on historiography itself. The problems of a long-term history are illustrated and tested using a number of episodes in the nineteenth-century history of Hermitian forms, and finally, some open questions are proposed. -
Kneser, Martin an Alan Baker Pronfelden, 2.8.1969
Niedersächsische Staats- und Universitätsbibliothek Göttingen Nachlass Martin Kneser Professor der Mathematik 21.1.1928 – 16.2.2004 Provenienz: als Geschenk aus Familienbesitz erhalten Acc. Mss. 2007.3 Acc. Mss. 2010.4/2 Göttingen 2012 Inhaltsverzeichnis Seite Allgemeine Korrespondenz 3 Signatur: Ms. M. Kneser A 1 - A 437 Berufungsangelegenheiten 85 Signatur: Cod. Ms. M. Kneser B 1 - B 153 Habilitationsverfahren 116 Signatur: Cod. Ms. M. Kneser C 1 - C 9 Vorlesungsmanuskripte 118 Signatur: Cod. Ms. M. Kneser D 1 - D 74 Vorlesungs- und Seminarausarbeitungen, überwiegend von Schülern angefertigt 129 Signatur: Cod. Ms. M. Kneser E 1 - E 23 Übungen 136 Signatur: Cod. Ms. M. Kneser F 1 - F 44 Seminare und Arbeitsgemeinschaften 143 Signatur: Cod. Ms. M. Kneser G 1 - G 8 Manuskripte 145 Signatur: Cod. Ms. M. Kneser H 1 - H 23 Sonderdrucke eigener Veröffentlichungen 153 Signatur: Cod. Ms. M. Kneser I 1 Mathematikgeschichte : Materialien zu einzelnen Personen 154 Signatur: Cod. Ms. M. Kneser J 1 - J 9 Tagungen und Vortragsreisen 158 Signatur: Cod. Ms. M . Kneser K 1 - K 8 Arbeitsgemeinschaft Oberwolfach 165 Signatur: Cod. Ms. M. Kneser L 1 - L 4 Arbeiten von Doktoranden 166 Signatur: Cod. Ms. M. Kneser M 1 - M 16 Akten und Sachkorrespondenz zu wissenschaftlichen Einrichtungen 169 Signatur: Cod. Ms. M. Kneser N 1 - N 5 Urkunden 172 Signatur: Cod. Ms. M . Kneser O 1 - O 10 Varia 174 Signatur: Cod. Ms. M. Kneser P 1 - P 5 2 Allgemeine Korrespondenz Signatur: Cod. Ms. M. Kneser A 1 - A 437 COD. MS. M. KNESER A 1 Aleksandrov, Pavel S. Briefwechsel mit Martin Kneser / Pavel S. -
FOUR VERTEX THEOREM and ITS CONVERSE Dennis Deturck, Herman Gluck, Daniel Pomerleano, David Shea Vick
THE FOUR VERTEX THEOREM AND ITS CONVERSE Dennis DeTurck, Herman Gluck, Daniel Pomerleano, David Shea Vick Dedicated to the memory of Björn Dahlberg Abstract The Four Vertex Theorem, one of the earliest results in global differential geometry, says that a simple closed curve in the plane, other than a circle, must have at least four "vertices", that is, at least four points where the curvature has a local maximum or local minimum. In 1909 Syamadas Mukhopadhyaya proved this for strictly convex curves in the plane, and in 1912 Adolf Kneser proved it for all simple closed curves in the plane, not just the strictly convex ones. The Converse to the Four Vertex Theorem says that any continuous real- valued function on the circle which has at least two local maxima and two local minima is the curvature function of a simple closed curve in the plane. In 1971 Herman Gluck proved this for strictly positive preassigned curvature, and in 1997 Björn Dahlberg proved the full converse, without the restriction that the curvature be strictly positive. Publication was delayed by Dahlberg's untimely death in January 1998, but his paper was edited afterwards by Vilhelm Adolfsson and Peter Kumlin, and finally appeared in 2005. The work of Dahlberg completes the almost hundred-year-long thread of ideas begun by Mukhopadhyaya, and we take this opportunity to provide a self-contained exposition. August, 2006 1 I. Why is the Four Vertex Theorem true? 1. A simple construction. A counter-example would be a simple closed curve in the plane whose curvature is nonconstant, has one minimum and one maximum, and is weakly monotonic on the two arcs between them. -
Mathematik in Der Heidelberger Akademie Der Wissenschaften
Universitatsbibliothek¨ Heidelberger Akademie Heidelberg der Wissenschaften Mathematik in der Heidelberger Akademie der Wissenschaften zusammengestellt von Gabriele D¨orflinger Stand: April 2014 LATEX-Dokumentation der Web-Seite http://ub-fachinfo.uni-hd.de/akademie/Welcome.html und ihrer HTML-Unterseiten. — Ein Projekt der Fachinformation Mathematik der Universit¨atsbibliothek Heidelberg. S¨amtliche Links werden als Fußnoten abgebildet. Die Fußnote wird durch den Text Link:“ eingeleitet. ” Am Ende jedes Unterdokuments ist die URL angegeben. Externe Links sind durch @⇒ und interne durch I gekennzeichnet. Die farbigen Symbole der Webseite wurden auf schwarz-weiße Zeichen umgesetzt. Der Verweis auf gedruckte Literatur erfolgt in den WWW-Seiten durch einen schwarzen Pfeil (I ). In der Dokumentation wird er — um Verwechslungen mit internen Links zu vermeiden — durch . dargestellt. Inhaltsverzeichnis Ubersicht¨ 6 Mathematiker in der Heidelberger Akademie 9 Baldus, Richard . 12 Batyrev, Victor . 13 Bock, Hans Georg . 13 Boehm, Karl . 14 Cantor, Moritz . 15 Gluckw¨ unsche¨ zum 60j¨ahrigen Doktorjubil¨aums Moritz Cantors . 16 Dinghas, Alexander . 17 Doetsch, Gustav . 18 Dold, Albrecht . 19 Fr¨ohlich, Albrecht . 20 G¨ortler, Henry . 21 Henry G¨ortler — Nachruf von Hermann Witting . 21 Goldschmidt, Victor . 24 Heffter, Lothar . 25 Hermes, Hans . 26 Hirzebruch, Friedrich . 27 Hopf, Heinz . 28 Huisken, Gerhard . 28 J¨ager, Willi . 29 Kirchg¨aßner, Klaus . 30 Kneser,Hellmuth.............................................. 31 Koch, Helmut . 32 Koebe,Paul................................................. 32 Koenigsberger, Leo . 33 Rede Leo Koenigsbergers bei der Enthullung¨ des Denkmals Heinrich Lanz’ . 37 50j¨ahriges Doktorjubil¨aum Leo Koenigsbergers . 37 K¨othe, Gottfried . 39 Gottfried K¨othe. Nachruf von Helmut H. Schaefer . 41 Krazer, Adolf . 42 Kreck, Matthias . 43 Leopoldt, Heinrich-Wolfgang . 44 Antrittsrede von Heinrich-Wolfgang Leopoldt am 31.5.1980 . -
Copernico E Lo Studio Di Ferrara Copernico E Lo Studio Di Ferrara
Copernico e lo Studio di Ferrara Copernico e lo Studio di Ferrara I Studenti e dottori nel primo secolo dello Studio ferrarese II Copernico tra i laureati illustri del Cinquecento III L’Università dalla Controriforma al secolo XVIII IV Studenti e dottori ferraresi nel Risorgimento italiano V Immagini del Novecento CB 3407 € 13,50 Quinto centenario della laurea di Niccolò Copernico Copernico e lo Studio di Ferrara Università, dottori e studenti a cura di Luigi Pepe © 2003 by CLUEB Cooperativa Libraria Universitaria Editrice Bologna Copernico e lo Studio di Ferrara Università, dottori e studenti Ferrara, Rettorato, via Savonarola, 9 28 maggio - 13 giugno 2003 Mostra organizzata dall’Università degli Studi di Ferrara con la collaborazione dell’Archivio di Stato di Ferrara e del Ministero dell’Istruzione dell’Università e della Ricerca Progetto della mostra e coordinamento scientifico: Luigi Pepe Comitato organizzatore: Maria Teresa Borgato, Alessandro Fabbri Antonietta Folchi, Luigi Pepe Autori delle schede: (af) Antonietta Folchi (dt) Delfina Tromboni (fp) Fernando Pulidori (ldm) Luigi Davide Mantovani (lp) Luigi Pepe (mtb) Maria Teresa Borgato Allestimento: Marcello Balzani, Roberto Meschini Progetto grafico: Oriano Sportelli Fotografie: Carlo Magri Ufficio stampa: Andrea Maggi Rapporti con l’Archivio storico dell’Università di Ferrara: Medarda Meletti Hanno collaborato: Daniele Canella, Silvia Mingotti, Maurizio Occari Aroldo Squarzola, Liliana Visser, Caterina Zaghini Copernico, e lo Studio di Ferrara. Università, dottori e studenti / a cura di Luigi Pepe – Bologna : CLUEB, 2003 151 p. ; ill. ; 27 cm (Museo degli Studenti. Alma Mater Studiorum. Università di Bologna. Collana di studi e fonti; diretta da Gian Paolo Brizzi e Marco Bortolotti; 5) ISBN 88-491-2126-1 In copertina: Archivio di Stato di Ferrara: Privilegio di dottorato in diritto canonico concesso a Niccolò Copernico CLUEB Cooperativa Libraria Universitaria Editrice Bologna 40126 Bologna - Via Marsala 31 Tel. -
Journal Für Die Reine Und Angewandte Mathematik
BAND 746 · JANUAR 2019 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Jun-Muk Hwang, Seoul Daniel Huybrechts, Bonn ∙ Rainer Weissauer, Heidelberg Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Jun-Muk Hwang Daniel Huybrechts Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 746 Januar 2019 CONTENTS A. Ichino, S. Yamana, Periods of automorphic forms: The case of ( Un − 1 × Un , Un ) . 1 L. Ambrosio, A. Pinamonti, G. Speight, Weighted Sobolev spaces on metric measure spaces . 39 J. Kaad, R. Nest, Canonical holomorphic sections of determinant line bundles . 67 W. Ou, Lagrangian fibrations on symplectic fourfolds .