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Cosmin Pohoata, Convex polytopes from fewer points

Thursday, December 1, 2022 @ 10:00 AM - 11:00 AM KST

Zoom ID: 224 221 2686 (ibsecopro)


Finding the smallest integer $N=ES_d(n)$ such that in every configuration of $N$ points in $\mathbb{R}^d$ in general position, there exist $n$ points in convex position is one of the most classical problems in extremal combinatorics, known as the Erdős-Szekeres problem. In 1935, Erdős and Szekeres famously conjectured that $ES_2(n)=2^{n−2}+1$ holds, which was nearly settled by Suk in 2016, who showed that $ES_2(n)≤2^{n+o(n)}$. We discuss a recent proof that $ES_d(n)=2^{o(n)}$ holds for all $d≥3$. Joint work with Dmitrii Zakharov.


Thursday, December 1, 2022
10:00 AM - 11:00 AM KST
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Zoom ID: 224 221 2686 (ibsecopro)


Joonkyung Lee (이준경)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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