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Caltech/UCLA Joint Analysis Seminar

Tuesday, April 6, 2021
4:00pm to 4:50pm
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Online Event
Explicit and nonlinear variants of Bourgain's projection theorem
Pablo Shmerkin, Mathematics Department, University of British Columbia,

Bourgain's projection theorem is a significant extension of his celebrated discretized sum-product theorem. After reviewing the original formulation of the projection theorem, I will present an explicit version, an extension to parametrized families of smooth maps, and applications to the Falconer distance set problem. Partly based on joint work in progress with Hong Wang.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].