Action Now Seminar: Weikun He (HUJI), "Discretized sum-product estimates in higher dimension"

Tue, 30/01/201814:30-15:30
IIAS, HUJI, Feldman Building, Room 130
Bourgain's discretized sum-product theorem asserts that if a subset of real numbers satisfies some non-concentration property, then its size grows significantly when it adds and multiplies to itself element-wise. In this talk I will discuss higher-dimensional analogues of this phenomenon, namely sum-product estimates in simple algebras and in Euclidean spaces under the action of linear endomorphisms.