SMS scnews item created by James East at Mon 28 Jun 2010 0918
Type: Seminar
Distribution: World
Expiry: 2 Jul 2010
Calendar1: 2 Jul 2010 1205-1255
CalLoc1: Carslaw 175

Algebra Seminar

Growth in solvable subgroups of GL_r(p)

Nick Gill

Friday July 2, 12:05--12:55pm, Carslaw 175


The study of "growth in groups" centres around the following question: given a set A inside a group G with group operation *, how big is A*A or A*A*A? This innocuous looking question has generated huge interest in the last few years with some spectacular results of Helfgott, Tao, Green, Breuillard, Pyber, Szabo and others. What is more "growth results" have been used by people like Bourgain, Gamburd, and Sarnak, to construct expander graphs, and to "sieve".

We focus on growth inside solvable subgroups of GL_r(p) - the group of r by r matrices over a field of prime order. We are able to reduce the question of growth in this setting to the study of p-groups in GL_r(p).

This is joint work with Harald Helfgott.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East

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