Model Theory in Algebra, Analysis and Arithmetic Cetraro, Italy 2012
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiati
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u van den Dries · Jochen Koenigsmann H. Dugald Macpherson · Anand Pillay Carlo Toffalori · Alex J. Wilkie
Model Theory in Algebra, Analysis and Arithmetic Cetraro, Italy 2012 Editors: H. Dugald Macpherson, Carlo Toffalori
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis (Zürich) Mario Di Bernardo (Bristol) Alessio Figalli (Austin) Davar Khoshnevisan (Salt Lake City) Ioannis Kontoyiannis (Athens) Gabor Lugosi (Barcelona) Mark Podolskij (Aarhus) Sylvia Serfaty (Paris and NY) Catharina Stroppel (Bonn) Anna Wienhard (Heidelberg)
For further volumes: http://www.springer.com/series/304
2111
Fondazione C.I.M.E., Firenze C.I.M.E. stands for Centro Internazionale Matematico Estivo, that is, International Mathematical Summer Centre. Conceived in the early fifties, it was born in 1954 in Florence, Italy, and welcomed by the world mathematical community: it continues successfully, year for year, to this day. Many mathematicians from all over the world have been involved in a way or another in C.I.M.E.’s activities over the years. The main purpose and mode of functioning of the Centre may be summarised as follows: every year, during the summer, sessions on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. A Session is generally based on three or four main courses given by specialists of international renown, plus a certain number of seminars, and is held in an attractive rural location in Italy. The aim of a C.I.M.E. session is to bring to the attention of younger researchers the origins, development, and perspectives of some very active branch of mathematical research. The topics of the courses are generally of international resonance. The full immersion atmosphere of the courses and the daily exchange among participants are thus an initiation to international collaboration in mathematical research. C.I.M.E. Director Pietro ZECCA Dipartimento di Energetica “S. Stecco” Università di Firenze Via S. Marta, 3 50139 Florence Italy e-mail: [email protected]
C.I.M.E. Secretary Elvira MASCOLO Dipartimento di Matematica “U. Dini” Università di Firenze viale G.B. Morgagni 67/A 50134 Florence Italy e-mail: [email protected]
For more information see CIME’s homepage: http://www.cime.unifi.it
Lou van den Dries • Jochen Koenigsmann • H. Dugald Macpherson • Anand Pillay • Carlo Toffalori • Alex J. Wilkie
Model Theory in Algebra, Analysis and Arithmetic Cetraro, Italy 2012 Editors: H. Dugald Macpherson, Carlo Toffalori
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Lou van den Dries Department of Mathematics University of Illinois Urbana, IL, USA
Jochen Koenigsmann Mathematical Institute University of Oxford Oxford, United Kingdom
H. Dugald Macpherson University of Leeds School of Mathematics Leeds, United Kingdom
Anand Pillay Department of Mathematics University of Notre Dame Hurley, IN, USA
Carlo Toffalori Division of Mathematics University of Camerino School of Science and Technology Camerino, Italy
Alex J. Wilkie University of M
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