for this workshop
High-dimensional phenomena in discrete analysis
American Institute of Mathematics, Pasadena, California
David Conlon, Sarah Peluse, and Yufei Zhao
This workshop, sponsored by AIM and the NSF, will be devoted to the study of high-dimensional phenomena in discrete analysis and will touch upon themes in additive combinatorics, discrete geometry and extremal combinatorics. Each of these areas, which share many common techniques and ideas, have experienced enormous growth and seen the solution to longstanding problems in recent years. The goal of this workshop is to bring together a range of researchers with expertise in each of these areas to find common ground, start new collaborations and make progress on some of the fundamental questions in these areas.
The main topics for the workshop are:
- Quantitative estimates on multidimensional Szemerédi-type theorems,
- Incidence results in higher dimensions,
- Extremal problems for hypergraphs.
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than January 10, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email firstname.lastname@example.org