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Mathematics Colloquium

Friday, December 8, 2023
11:00am to 12:00pm
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Linde Hall 310
Sharp square function estimates in Fourier restriction theory
Dominique Maldague, Department of Mathematics, MIT,

This talk will provide an overview of recent developments in Fourier restriction theory, which is the study of exponential sums over restricted frequency sets with geometric structure, typically arising in pde or number theory. Decoupling inequalities measure the square root cancellation behavior of these exponential sums. I will highlight recent work which uses the latest tools developed in decoupling theory to prove much more delicate sharp square function estimates for frequencies lying in the cone in R^3 (Guth-Wang-Zhang) and moment curves (t,t^2,...,t^n) in all dimensions (Guth-Maldague).

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].