Department Colloquium

Fri., Jun. 3, 2022 3:30 p.m.

Location: RI 208

Speaker: Ferdinand Ihringer, Ghent University

Title: Caps and Probabilistic Methods (505 kB)

Abstract:

A set of points in a finite projective space PG(n,q) with no three collinear is called a cap. More generally, a set of points in PG(n,q) such that no s-space contains more than r points is called an (r,s;n,q)-set. In the first (and main) part of the talk we will discuss probabilistic approaches to this classical problem.

In the second part of the talk, if time permits, we will discuss one reason why it is so hard to construct large caps. For this we present parameter restrictions on approximately strongly regular graphs. This is joint work with Jacques Verstraëte.