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Explore fundamental open problems in Fourier analysis through this 53-minute mini-course lecture delivered by Stefan Steinerberger from the University of Washington Seattle. Delve into cutting-edge research questions and unsolved challenges that define the current frontiers of Fourier analysis, examining their mathematical significance and potential approaches for resolution. Learn about the theoretical foundations underlying these problems and discover how they connect to broader areas of mathematical analysis. Gain insights into the methodologies and techniques used to approach these challenging questions, while understanding their implications for advancing the field. This lecture forms part of the "Fourier Analysis & Beyond" workshop series at IMPA, designed to introduce the mathematical community to topics at the interface of Fourier analysis and other mathematical areas, fostering new research directions and collaborative opportunities.
