Classical harmonic analysis and combinatorics, August 10 – 12

Organizers: Malabika Pramanik and Josh Zahl.

Harmonic analysis studies the mapping properties of operators related to the Fourier transform.  Over the past several decades, deep connections have emerged between harmonic analysis, geometric measure theory, and additive combinatorics. The area has seen a recent resurgence in activity, with advances such as Bourgain and Demeter’s solution to the decoupling conjecture, which has led to progress in areas as diverse as analytic number theory, PDE, and additive combinatorics. Dvir’s 2008 solution to the finite field Kakeya problem and the polynomial methods introduced by Guth and Katz a few years later have led to new progress on a number of longstanding conjectures, including the Kakeya and restriction problems, and Schrodinger maximal estimates. With an abundance of new tools available, now is an important moment for both experts in the field and junior researchers to meet and share their ideas.

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Plenary speaker: Michael Christ, University of California, Berkeley.

Session speakers:

16:00 – 16:50 UTC, Aug 10Zane Li
17:00 – 17:50Chun Kit Lai
18:00 – 19:10Michael Christ (plenary)
16:00 – 16:50 UTC, Aug 11Hong Wang
17:00 – 17:50Polona Durcik
18:00 – 18:50Kornélia Héra

Session poster: