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Pablo Shmerkin -A nonlinear version of Bourgain's projection theorem, with applications

Dates:4 November 2019
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Pablo Shmerkin
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Analysis and dynamical systems"
  • By Department of Mathematics

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

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Tom Kempton

thomas.kempton@manchester.ac.uk

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