Organizers
József Balogh, University of Illinois at Urbana-Champaign, USA
Jie Ma(马杰), Tsinghua University/USTC
Dhruv Mubayi, University of Illinois at Chicago, USA
Abstract
Extremal Combinatorics is a rapidly developing branch of mathematics, with far-reaching applications in computer science, coding theory, operations research, biology, and other natural and social sciences. The field has witnessed tremendous developments over the past decades and is maturing into a discipline that employs sophisticated tools from other areas of mathematics such as algebra, probability, number theory, and geometry.
This workshop aims to bring together world-class leading researchers as well as out- standing young scholars, to stimulate further development of the field, foster interactions between experts and junior researchers, and strengthen the connection between the Chinese extremal combinatorics community and its international counterpart.
In recent years, extremal combinatorics has flourished in the US and Europe, and there is now rapidly growing activity in China as well. The workshop will therefore provide an excellent opportunity for Chinese researchers and students to engage directly with many of the leading figures in the area and gain exposure to the latest advances and research directions.
Description of the aim
The conference will cover a wide range of topics within extremal combinatorics, focusing on recent progress. Specific areas include extremal graph and hypergraph theory, Ramsey theory, structural and probabilistic aspects of graphs and hypergraphs, and connections of extremal combinatorics with computer science. Our list of invitees includes many world leaders in these subjects, and we expect to have several talks on cutting-edge research. Participants will present recent results, discuss open problems, and establish new collaborations during this five-day event.
We also note that two of the current organizers, together with Prof. Tao Jiang (Miami University), organized a workshop on the same topic in May 2017, which brought together around 50 international participants and was a great success. Building on that experience, this new workshop will further strengthen the research network in extremal combinatorics and create new opportunities for collaboration. The research impact of the workshop will be significant for all participants. For junior researchers, it will provide valuable exposure to the latest developments and research directions. For established researchers, the talks and open problem sessions will serve as a platform for exchanging ideas and initiating new collaborative projects. We expect that this meeting will have a lasting and positive impact on the future of the field.
