Arithmetic and Geometry over Local Fields
VIASM 2018
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Beschreibung
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.
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.
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
Autor*in
Bruno Anglès
Themen in »Arithmetic and Geometry over Local Fields«
Differential and difference algebra Drinfeld modules Exponential sums Function field arithmetic Non-Archimedean geometry p-adic cohomology Rigid analytic geometry