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Lectures in Model Theory.

Author: Franziska Jahnke; Daniel Palacín; Katrin Tent
Publisher: [Place of publication not identified] : European Mathematical Society Publishing House : European Mathematical Society Publishing House, Zuerich, Switzerland, 2018.
Series: Münster lectures in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Model theory is a thriving branch of mathematical logic with strong connections to other fields of mathematics. Its versatility has recently led to spectacular applications in areas ranging from diophantine geometry, algebraic number theory and group theory to combinatorics. This volume presents lecture notes from a spring school in model theory which took place in Münster, Germany. The notes are aimed at PhD  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Franziska Jahnke; Daniel Palacín; Katrin Tent
ISBN: 9783037196847 303719684X
OCLC Number: 1034725245
Description: 1 online resource
Contents: An introduction to stability theory / Daniel Palacín --
Geometric stability theory / Martin Bays --
NIP and definably amenable groups / Pierre Simon --
Some model theory of profinite groups / Tim Clausen, Katrin Tent --
An introduction to valued fields / Franziska Jahnke --
Model theory of valued fields / Martin Hils --
An introduction to motivic integration / Immanuel Halupczok.
Series Title: Münster lectures in mathematics.
More information:

Abstract:

Model theory is a thriving branch of mathematical logic with strong connections to other fields of mathematics. Its versatility has recently led to spectacular applications in areas ranging from diophantine geometry, algebraic number theory and group theory to combinatorics. This volume presents lecture notes from a spring school in model theory which took place in Münster, Germany. The notes are aimed at PhD students but should also be accessible to undergraduates with some basic knowledge in model theory. They contain the core of stability theory (Bays, Palacín), two chapters connecting generalized stability theory with group theory (Clausen and Tent, Simon), as well as introductions to the model theory of valued fields (Hils, Jahnke) and motivic integration (Halupczok).

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