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    COMPACT COURSE ON HARMONIC ANALYSIS AND GEOMETRIC MEASURE THEORY

    Topic :  Harmonic Analysis and Geometric Measure Theory
    Speaker :  Professor Malabika Pramanik
    University of British Columbia
    Room 121, 1984 Mathematics Road
    Vancouver, B.C., Canada V6T 1Z2
    Venue :  Lecture Hall I, First Floor
    Department of Mathematics, IISc
    Time :  4:00 PM to 5:00 PM

    During this course the speaker will address on the following topics:


    WEEK I:

    AUGUST 19, 2013 to AUGUST 23, 2013
    (Monday to Friday)

    1. A brief review of Hausdorff and Fourier dimensions
    2. Salem sets and Salem measures
    3. Continuum analogue of Szemeredi - type problems for sparse subsets of Euclidean spaces
    4. Existence of three point configurations in Salem sets in R – discussion of proof
    5. Higher dimensional extensions

    WEEK II:

    AUGUST 26, 2013 to AUGUST 29, 2013
    (Monday to Thursday)

    1. Stein's spherical maximal theorem, Bourgain's circular maximal theorem,
    2. measure-theoretic extensions
    3. Differentiation for measures - a question of Aversa and Preiss
    4. A Lebesgue-independent differentation theorem in R
    5. Overview of proof

    ALL ARE WELCOME

     


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