Simons School on Order and Structure in Geometry

Ordered structures arise naturally in many problems and proofs in discrete geometry. For example, the unit distance problem for convex polygons stimulated the extremal theory of 0–1 matrices. Similarly, the study of point-set configurations, known as the study of order types, plays an important role in geometric problems such as rectilinear crossing numbers and the happy ending problem.

The school, part of the Simons Semester in Ordered Combinatorics, offers four mini courses given by Andreas Holmsen (KAIST), Cosmin Pohoata (Emory), and Géza Tóth (Rényi). The courses and the talks are aimed at graduate students and researchers at the beginning of their career, and should be accessible to a wide audience. Apart from presenting the state of the art, many open problems will be discussed.

Lecture schedules

Andreas Holmsen: Intersection patterns and homological minors

Cosmin Pohoata: The Erdős–Szekeres problem

Géza Tóth: Crossing numbers of graphs

How to apply?

REGISTRATION FOR THE EVENT IS CLOSED.