Thursday, November 2, 2023
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All day |
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4:00pm |
11/02/2023 - 4:00pm We identify a new way to divide the d-neighborhood of surfaces in R^3. We decompose the d-neighborhood of surfaces into a finitely-overlapping collection of rectangular boxes S. We obtain an (l^2,L^p) decoupling estimate using this decomposition, for the sharp range of exponents. The decoupling theorem we prove is new for the hyperbolic paraboloid, and recovers the Tomas-Stein restriction inequality. Our decoupling inequality leads to new exponential sum estimates where the frequencies lie on surfaces which do not contain a line. Location:
KT 219
11/02/2023 - 4:00pm This is the 7th lecture in the series. Location:
KT 801
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