WAM 2026
From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry
Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry.
Date & Time
May 19, 2026 | 9:30am – 10:30am
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05/19/2026 09:30
05/19/2026 10:30
WAM 2026
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Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry
Speakers: Dominique Maldague, Cambridge University and UCLA
More: https://www.ias.edu/math/wam/events/wam-2026-0
Abstract: Fourier series are classically used to construct solutions
to partial differential equations such as the wave and Schrödinger
equations. In Fourier restriction theory, additional conditions are
imposed on the frequencies of these series, giving rise to a more
geometric view of the underlying functions. We will discuss how to use
this perspective to study diverse problems, like the distribution of
prime numbers, size of arithmetic progressions in sets, and the Kakeya
problem in fractal geometry.
Simonyi Hall 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi Hall 101Speakers
Dominique Maldague, Cambridge University and UCLA