University of Birmingham > Talks@bham > Combinatorics and Probability seminar > On some recent applications of the polynomial method

On some recent applications of the polynomial method

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  • UserPeter Pach (University of Warwick)
  • ClockTuesday 31 October 2017, 15:00-16:00
  • HouseWatson LTA.

If you have a question about this talk, please contact Guillem Perarnau.

In this talk we will look at a new variant of the polynomial method which was first used to prove that sets avoiding 3-term arithmetic progressions in groups like Z_4n and F_qn are exponentially small (compared to the size of the group). Since then many interesting applications of this method were shown, for instance, the solution of the Erdős-Szemerédi sunflower conjecture, tight bound for Green’s arithmetic triangle removal lemma and growth rate of tri-colored sumfree sets. Finally, I will also mention some open problems.

This talk is part of the Combinatorics and Probability seminar series.

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