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Rob Morris, An exponential improvement for diagonal Ramsey

May 2 Tuesday @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)


Rob Morris
IMPA (Instituto de Matemática Pura e Aplicada)

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.

Based on joint work with Marcelo Campos, Simon Griffiths and Julian Sahasrabudhe.


May 2 Tuesday
4:30 PM - 5:30 PM KST
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Room B332
IBS (기초과학연구원) + Google Map


Hong Liu
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IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
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IBS Discrete Mathematics Group (DIMAG)
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