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Fields Institute
Fourier Uniqueness and Non-Uniqueness Pairs

Explore Fourier uniqueness and non-uniqueness pairs in this advanced mathematics lecture, delving into complex analysis and function spaces.
- YouTube
- 55 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
On Extremizers for Fourier Restriction onto the Moment Curve

Explore Fourier restriction/extension operators for moment curves, focusing on functions that maximize operator norms in Lebesgue spaces. Recent findings with Betsy Stovall discussed.
- YouTube
- 30 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Fourier Interpolation

Explore Fourier uniqueness and interpolation pairs, examining recent progress in explicit constructions and existence results for reconstructing functions from restricted data sets.
- YouTube
- 56 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
The Restriction Problem and the Polynomial Method - Lecture 2

Explore Stein's restriction conjecture, Kakeya conjecture, and polynomial method in harmonic analysis. Understand wave packet decomposition and intersection of tubes in Fourier analysis.
- YouTube
- 58 minutes
- On-Demand
- Free Video
Simons Institute
Fourier Growth of XOR-Fibers of Communication Protocols

Explores Fourier growth bounds for XOR-fibers of randomized protocols, presenting improved results and discussing applications in communication complexity and quantum-classical separations.
- YouTube
- 53 minutes
- On-Demand
- Free Video
Simons Institute
Sign-Rank vs Margin

Exploring the relationship between sign-rank and margin in boolean matrices, with applications in communication complexity and machine learning. Discusses key questions and provides negative answers using various mathematical tools.
- YouTube
- 58 minutes
- On-Demand
- Free Video
Simons Institute
Random Restrictions and Fourier Concentration - Part 2

Explore advanced concepts in Fourier analysis and random restrictions, focusing on their applications in theoretical computer science and mathematical analysis.
- YouTube
- 56 minutes
- On-Demand
- Free Video
Simons Institute
Random Restrictions and Fourier Concentration - Part 1

Explore random restrictions and Fourier concentration in analysis and theoretical computer science with MIT researcher Esty Kelman.
- YouTube
- 1 hour
- On-Demand
- Free Video
International Mathematical Union
Weighted Fourier Extension Estimates and Applications

Explore weighted Fourier extension estimates and their applications in PDEs and geometric measure theory, covering topics like Fourier restriction, SME, and Falconer's distance set problem.
- YouTube
- 43 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Endpoint Fourier Restriction and Unrectifiability

Explore endpoint Fourier restriction and its connection to measure unrectifiability in R^d, featuring a dichotomy between absolute continuity and 1-pure unrectifiability.
- YouTube
- 29 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Betsy Stovall- Fourier Restriction to the Sphere Is Extremizable More Often Than Not

Explore Fourier restriction to the sphere, focusing on extremizers and their prevalence. Delve into proofs, key limits, and spatial decomposition in this mathematical analysis.
- YouTube
- 1 hour
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Jonathan Hickman: The Helical Maximal Function

Explore the helical maximal function in R3, its Lp boundedness, and related Fourier analytic tools. Gain insights into space curves and geometric measure theory.
- YouTube
- 51 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Ciprian Demeter - Restriction of Exponential Sums to Hypersurfaces

Explore exponential sums on hypersurfaces, focusing on sharp moment inequalities and scale-independent results. Gain insights into critical exponents and Hardy-Littlewood lemmas.
- YouTube
- 59 minutes
- On-Demand
- Free Video
Ryan O'Donnell
Ryan O'Donnell Tutorial on Hardness of Approximation - Part 3

Explore advanced concepts in approximation algorithms, focusing on Max 3-Lin, Fourier analysis, and edge weights in optimization problems.
- YouTube
- 1 hour 4 minutes
- On-Demand
- Free Video
Banach Center
Sharp Restriction Theory - Part 1

Explore advanced concepts in sharp restriction theory, focusing on key principles and applications in mathematical analysis.
- YouTube
- 1 hour 23 minutes
- On-Demand
- Free Video

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