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DTSTART;TZID=Asia/Seoul:20230502T163000
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SUMMARY:Rob Morris\, An exponential improvement for diagonal Ramsey
DESCRIPTION:The Ramsey number $R(k)$ is the minimum n such that every red-blue colouring of the edges of the complete graph on n vertices contains a monochromatic copy of $K_k$. It has been known since the work of Erdős and Szekeres in 1935\, and Erdős in 1947\, that $2^{k/2} < R(k) < 4^k$\, but in the decades since the only improvements have been by lower order terms. In this talk I will sketch the proof of a very recent result\, which improves the upper bound of Erdős and Szekeres by a (small) exponential factor. \nBased on joint work with Marcelo Campos\, Simon Griffiths and Julian Sahasrabudhe.
URL:https://dimag.ibs.re.kr/event/2023-05-02/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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