# Partial Steiner triple systems in geometric arrangements

## Location

384H

Thursday, February 24, 2022 2:00 PM

József Solymosi (UBC)

In this talk we will list various problems in discrete geometry. The common feature of them is that the key for further improvements lies in the understanding of the structure of some special point arrangements. For example, what can we say about n points in the plane determining at least n^2/100 distinct lines with three or more points on them? Or, what is the maximum number of unit circles passing through at least three points of an n-element planar point set? Unfortunately we won't answer either of these questions, but will show some special cases when we can state a few results.