Reduction theory and arithmetic groups / Joachim Schwermer.
Material type: TextSeries: New mathematical monographs ; 45.Publisher: Cambridge ; New York, NY : Cambridge University Press, 2023Copyright date: ©2023Description: xiii, 360 pages : illustrations ; 25 cmContent type:- text
- unmediated
- volume
- 9781108832038
- 1108832032
- 512.74 23/eng20220902
- QA174.2 .S349 2023
- QA174.2 .S349 2023
Item type | Current library | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|
Carti | IMAR | 512.74-SCH (Browse shelf(Opens below)) | Available | 3801394 |
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512.74-POP Elemente de teoria algebrica a numerelor | 512.74-RUT-1 Vorlesungen über numerische Mathematik vol 1 | 512.74-RUT-2 Vorlesungen über numerische Mathematik vol 2 | 512.74-SCH Reduction theory and arithmetic groups / | 512.74-SHO Exponential diophantine equations | 512.74-SHO Exponential diophantine equations | 512.74-WAR Topological fields |
Includes bibliographical references and index.
Modules, lattices, and orders -- The general linear group over rings -- A menagerie of examples -- a historical perspective -- Arithmetic groups -- Arithmetically defined Kleinian groups and hyperbolic 3-space -- Lattices -- reduction theory for GL -- Reduction theory and (semi)-stable lattices -- Arithmetic groups in algebraic k-groups -- Arithmetic groups, ambient lie groups, and related geometric objects -- Geometric cycles -- Geometric cycles via rational automorphisms -- Reduction theory for adelic coset spaces.
"Filling a gap in the literature, this text gives a solid, rigorous foundation in the subject of the arithmetic of algebraic groups and reduction theory. It follows different developments in this area, geometric as well as number theoretical, at a level suitable for graduate students and researchers in related fields"-- Provided by publisher.
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