Expansion in Finite Simple Groups of Lie Type Hardback
by Terence Tao
Part of the Graduate Studies in Mathematics series
Hardback
Description
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory.
Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics.
This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemeredi-Gowers lemma.
Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given.
The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous exercises and other optional material.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:303 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2015
- Category:
- ISBN:9781470421960
Other Formats
- PDF from £71.10
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:303 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2015
- Category:
- ISBN:9781470421960
