Distance sets and a nonlinear version of Bourgain's projection theorem

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• Pablo Shmerkin (Universidad Torcuato Di Tella)
• Tuesday 18 February 2020, 14:00-15:00
• WATN-R17 18, Watson Building.

If you have a question about this talk, please contact Hong Duong.

Bourgain’s projection theorem is an extension of his celebrated discretized sum-product estimate that has found striking applications in many areas. I will discuss a generalization of the projection theorem from the family of linear projections to parametrized families satisfying a technical but mild condition. I will present some applications, particularly to the Falconer distance set problem. 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.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• School of Mathematics events
• WATN-R17 18, Watson Building

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