Algebraic Geometry and Number Theory Summer School, Galatasaray Uni

This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory

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Hussein Mourtada Celal Cem Sarıog˘lu Christophe Soulé Ayberk Zeytin Editors

Algebraic Geometry and Number Theory Summer School, Galatasaray University, Istanbul, 2014

Progress in Mathematics Volume 321

Series Editors Antoine Chambert-Loir, Université Paris-Diderot, Paris, France Jiang-Hua Lu, The University of Hong Kong, Hong Kong SAR, China Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, USA

More information about this series at http://www.springer.com/series/4848

Hussein Mourtada • Celal Cem Sarıoğlu Christophe Soulé • Ayberk Zeytin Editors

Algebraic Geometry and Number Theory Summer School, Galatasaray University, Istanbul, 2014

Editors Hussein Mourtada Institut de Mathématiques de Jussieu - Paris Rive Gauche Paris, France Christophe Soulé Institut des Hautes Études Scientifiques Bures-sur-Yvette, France

Celal Cem Sarıoğlu Department of Mathematics Dokuz Eylül University İzmir, Turkey Ayberk Zeytin Department of Mathematics Galatasaray University Istanbul, Turkey

ISSN 0743-1643 ISSN 2296-505X (electronic) Progress in Mathematics ISBN 978-3-319-47778-7 ISBN 978-3-319-47779-4 (eBook) DOI 10.1007/978-3-319-47779-4 Library of Congress Control Number: 2017939709 Mathematics Subject Classification (2010): 11E16, 11E41, 11M41, 11R23, 11S40, 13D02, 14C17, 14E30, 14G40, 14J60, 14J70, 55N25, 55R10, 11R29, 14M17 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

vii

List of Participants . . . . . .