Special Year Research Seminar

Some Small Progress on the Mizohata-Takeuchi Conjecture

The restriction conjecture, one of the most central problems in harmonic analysis, studies the Fourier transform of functions defined on curved surfaces; specifically, it claims that the level sets of such Fourier transforms are relatively small. The Mizohata-Takeuchi conjecture further studies the shape of these level sets, and in particular the extent to which they can avoid clustering on lines. In this talk we will present a small improvement on the Mizohata-Takeuchi conjecture. This is joint work with Anthony Carbery and Hong Wang.

Date & Time

October 11, 2022 | 2:00pm – 3:30pm

Location

Simonyi 101 and Remote Access

Speakers

Marina Iliopoulou

Affiliation

University of Birmingham

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