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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles Over Arithmetic Curves

Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles Over Arithmetic Curves

Bost, Jean-Benoît

Hardcover

Series: Progress in Mathematics, Book 334

General MathematicsGeometry

ISBN10: 3030443280
ISBN13: 9783030443283
Publisher: Birkhauser
Published: Aug 22 2020
Pages: 365
Weight: 1.64
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions.

The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication.

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