Christoph Thiele, Malabika Pramanik and myself are organizing the summer school “Harmonic Analysis, Geometric Measure Theory and Additive Combinatorics”.

The school will focus on questions at the interface of harmonic analysis, geometric measure theory and additive combinatorics, including applications of harmonic analytic and additive combinatorial methods (restriction theorems, trigonometric polynomial estimates) to measure theoretic problems. In particular, many questions in geometric measure theory and harmonic analysis (for example, concerning projections of sets or the occurrence of prescribed patterns in them) explore various concepts of “randomness” of sets. Similar phenomena for discrete sets have been investigated in additive combinatorics, and we hope that the methods developed there can be transferred to a continuous setting. The school will introduce the participants to a selection of problems of this type. A basic familiarity with measure theory, harmonic analysis and probability theory will be expected.

The school will take place from June 24 – 29. 2012 at Catalina Canyon Resort on Catalina Island, California. Space is limited to 12 participants, normally graduate students or postdocs. Participants are required to prepare a lecture on a topic chosen from our list and submit a short written summary of it prior to the school.

If you are interested in participating, please contact Christoph Thiele (thiele@math.ucla.edu) by March 15.

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