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.
Plenary speaker: Michael Christ, University of California, Berkeley.
Session speakers:
- Polona Durcik, Chapman University;
- Kornélia Héra, University of Chicago;
- Chun-Kit Lai, San Francisco State University;
- Zane Li, Indiana University, Bloomington;
- Hong Wang, Institute for Advanced Study.
| 16:00 – 16:50 UTC, Aug 10 | Zane Li |
| 17:00 – 17:50 | Chun Kit Lai |
| 18:00 – 19:10 | Michael Christ (plenary) |
| 16:00 – 16:50 UTC, Aug 11 | Hong Wang |
| 17:00 – 17:50 | Polona Durcik |
| 18:00 – 18:50 | Kornélia Héra |
Session poster:
