Summer School 2023
Frontiers of Combinatorics - July 17 - July 28
Part 1 (July 17- July 21)
9:00-10:30 am (Beijing) / 10:00 - 11:30 am (Seoul)
Zoom number : 346 934 4087 Password :202307
Offline : Institute for Basic Science (IBS), Daejeon, Korea (Room: IBS Science Culture Center (기초과학연구원 과학문화센터), S221 (2nd floor))
Title : The method of hypergraph containers
Speaker : Wojciech Samotij (Tel Aviv University, Israel)
Abstract : Since the late eighties, there has been considerable interest in analogues of classical results in extremal combinatorics and Ramsey theory relative to random graphs and other discrete structures. Results of this kind had been proved using mostly ad-hoc methods until about ten years ago, when three general, powerful methods were developed and used to solve many outstanding questions in the area. In this course, I will present one of these methods and show how to apply it to a number of 'real-life' problems.
Part 2 (July 24- July 28)
9:00- 10:30 am (Beijing) / 10:00 - 11:30 am (Seoul)
Zoom number : 346 934 4087 Password :202307
Offline : Dongmingzhu Building 212, Shandong University, Jinan, China
Title : Graph limits and flag algebras
Speaker : Andrzej Grzesik (Jagiellonian University, Poland)
Speaker : The mini-course will be focused on the flag algebra method that changed the landscape of extremal combinatorics and was used to solve or make substantial progress on many longstanding open problems. We will begin with an intuitive introduction to limits of dense graph sequences and the notion of a graphon. Then we will learn how the flag algebra method works and how to apply it to different extremal graph theory questions.
