Expansion in Finite Simple Groups of Lie Type is popular PDF and ePub book, written by Terence Tao in 2015-04-16, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Expansion in Finite Simple Groups of Lie Type can be Read Online from any device for your convenience.
Expansion in Finite Simple Groups of Lie Type Book PDF Summary
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-Szemerédi-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.
Detail Book of Expansion in Finite Simple Groups of Lie Type PDF
- Author : Terence Tao
- Release : 16 April 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470421960
- Genre : Mathematics
- Total Page : 319 pages
- Language : English
- PDF File Size : 18,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Expansion in Finite Simple Groups of Lie Type by Terence Tao, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.