Uncertainty in Combinatorial and Computational Geometry (26w5662)

The Banff International Research Station will host the "Uncertainty in Combinatorial and Computational Geometry" workshop in Banff from December 3 to
December 8, 2023.

This workshop will bring together researchers working on two fields seemingly at odds, and incompatible: combinatorial geometry and uncertainty.
Combinatorial geometry is a field of counting discrete objects, it is about how things are connected, or in general how discrete objects like points, lines, and circles intersect with each other. On the other hand, modeling uncertainty is about not allowing discrete events to happen precisely, or at least not with confidence. It replaces these notions with probabilistic concepts. How can one count geometric objects and their connectivity properties if there is uncertainty in their very existence?

Remarkably, there has been a recent flurry of new techniques for how to mathematically model such questions. By allowing the uncertainty to manifest in discrete ways, it becomes possible to derive bounds for the combinatorial properties, or to compute expected values. The participants of this workshop will be sharing progress on some of the most important recent developments in this exciting areas, and also convening towards tackling some of the remaining, and now conceivable challenges remaining.