Sum(m)it280

The János Bolyai Society and the HUN-REN Alfréd Rényi Institute (Budapest, Hungary) organized a week-long conference on the occasion of the 70th birthdays of the four excellent mathematicians: Péter Frankl, Zoltán Füredi, Ervin Györi and János Pach in July 2024. The present volume contains mainly survey papers written by the invited speakers of this conference and it also includes some interesting new results, see, for example, Noga Alon s paper in the area of extremal combinatorics. Furthermore, three excellent surveys written by Hurlbert, Kupavskii, and Jian Wang give a good overview of the extremal set theory. Moreover, two papers included in this volume written by Balko and Verstraëte are surveys of certain sub-branches of Ramsey theory, while two papers written by Aslanyan-Sahakyan and Ihringer present a broad picture of the combinatorial properties of Boolean functions. Likewise, the paper written by Géza Tóth covers an interesting area of combinatorial geometry and in addition, there are subsequent papers presenting results on graph theory.

This volume will be a valuable resource for graduate students and young (perhaps also for not so young) researchers interested in extremal combinatorics and combinatorial geometry.