Jonathan Hickman

University of St Andrews


On the convergence of Fourier integrals


Analysis and Geometry Seminar


14th March 2019, 3:15 pm – 4:15 pm
Howard House, 4th Floor Seminar Room


In the first half of the 20th century great advances were made in understanding convergence of Fourier series and integrals in one dimension. Many natural convergence problems in higher dimensions are still poorly understood, however, despite great attention by many prominent mathematicians over the last five decades. In this talk I will introduce the basic questions, describe their rich underlying geometry, and explain some recent developments in joint works with L. Guth (MIT) and M. Iliopoulou (UC Berkeley) and K. Rogers (ICMAT) which have applied tools from incidence and algebraic geometry to these problems.






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