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Hausdorff dimension of product sets in Lie groups

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 12, 2015 (02:55 PM PDT - 03:20 PM PDT)
Speaker(s): Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

Given a Borel subset A in a Lie group G, we will study under what conditions the Hausdorff dimension of the product set AAA is strictly larger than that of A, especially in the case when the ambient group G is simple.

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