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Kakeya maximal estimates via real algebraic geometry

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  • UserJonathan Hickman (Edinburgh)
  • ClockWednesday 15 January 2020, 13:45-14:45
  • HouseMR4, CMS.

If you have a question about this talk, please contact Peter Varju.

The Kakeya (maximal) conjecture concerns how collections of long, thin tubes which point in different directions can overlap. Such geometric problems underpin the behaviour of various important oscillatory integral operators and, consequently, understanding the Kakeya conjecture is a vital step towards many central problems in harmonic analysis. In this talk I will discuss recent work with K. Rogers and R. Zhang which apply tools from the theory of semialgebraic sets to yield new partial results on the Kakeya conjecture.

This talk is part of the Discrete Analysis Seminar series.

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