New Trends and Directions in Combinatorics (12w5001)
The workshop will focus specifically on several major research topics in modern Combinatorics: Extremal Problems for Graphs and Set Systems, Ramsey Theory, Combinatorial Number Theory, Combinatorial Geometry, Random Graphs, and Probabilistic Methods. The aim of the workshop will be to report and to discuss recent advances in these various subfields, aiming to reach further progress in these specific directions, and also to encourage collaboration between the fields and rapid dissemination of advanced methods and concepts. An emphasis will be put on exchange of ideas between researchers from the different areas, and on informal discussion between them. One of our specific goals will be to use this forum to make the state-of-the-art more accessible to a broader audience, in particular, participation by graduate students will be a priority.
Given the astonishingly fast development of Combinatorics in recent years, it would be of great benefit to gather leading researchers in these various subfields to facilitate exchange of knowledge, and also to identify new research directions and horizons. We thus expect a meeting of this sort to have a sizeable and lasting impact on the future of the subject.