2025.09.30, Marcelo Sales, On the Ramsey number of Daisies and other hypergraphs
Автор: IBS Discrete Mathematics Group
Загружено: 2025-09-30
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Marcelo Sales, On the Ramsey number of Daisies and other hypergraphs
September 30 Tuesday @ 4:30 PM - 5:30 PM KST
Room B332, IBS (기초과학연구원)
Marcelo Sales
University of California, Irvine
https://www.math.uci.edu/node/37830
Given a $k$-uniform hypergraph $H$, the Ramsey number $R(H;q)$ is the smallest integer $N$ such that any $q$-coloring of the edges of the complete $k$-uniform hypergraph on $N$ vertices contains a monochromatic copy of $H$.
When $H$ is a complete hypergraph, a classical argument of Erdős, Hajnal, and Rado reduces the general problem to the case of uniformity $k = 3$. In this talk, we will survey constructions that lift Ramsey numbers to higher uniformities and discuss recent progress on quantitative bounds for $R(H;q)$ for certain families of hypergraphs.
This is joint work with Ayush Basu, Dániel Dobák, Pavel Pudlák, and Vojtěch Rödl.
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