Pablo Shmerkin -A nonlinear version of Bourgain's projection theorem, with applications
| Dates: | 4 November 2019 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Pablo Shmerkin |
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Pablo Shmerkin will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.
Abstract: Bourgain's projection theorem is an important extension of his celebrated discretized sum-product estimate. I will discuss a generalization of the projection theorem from the family of linear projections to parametrized families of smooth maps satisfying a technical but mild condition. I will present some applications to distance sets and radial projections, as well as a relaxation of the hypotheses of the theorem that is new even in the linear case. The proofs are based on applying the original version of the theorem to measures in a suitable multiscale decomposition, that I will describe if time allows.
Speaker
Pablo Shmerkin
Organisation: University of St Andrews
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G.113
Alan Turing Building
Manchester
