Overview
- Designed to enable young mathematicians to tackle concrete research problems
- Gives an overview of recent developments in arithmetic and geometry over local fields
- Provides a self-contained course on Drinfeld modules and non-Archimedean analytic geometry
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2275)
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About this book
This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research program "Arithmetic and geometry of local and global fields" which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to August 2018.
The authors, leading experts in the field, have put great effort into making the text as self-contained as possible, introducing the basic tools of the subject. The numerous concrete examples and suggested research problems will enable graduate students and young researchers to quickly reach the frontiers of this fascinating branch of mathematics.
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Editors and Affiliations
Bibliographic Information
Book Title: Arithmetic and Geometry over Local Fields
Book Subtitle: VIASM 2018
Editors: Bruno Anglès, Tuan Ngo Dac
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-66249-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-66248-6Published: 04 March 2021
eBook ISBN: 978-3-030-66249-3Published: 03 March 2021
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 326
Number of Illustrations: 11 b/w illustrations, 2 illustrations in colour
Topics: Number Theory, Algebraic Geometry, Field Theory and Polynomials