Combinatorics Seminar 2017


Speaker: Alexander Gavrilyuk, University of Science and Technology of China

Date: Mon, May 22, 2017

Time: 16:00 - 17:00

Venue: Middle Meeting Room

Title: On tight sets of hyperbolic quadrics

Abstract:

A set of points $M$ of a finite polar space $P$ is called tight, if the average number of points of $M$ collinear with a given point of $P$ equals the maximum possible value. In the case when $P$ is a hyperbolic quadric, the notion of tight sets generalises that of Cameron-Liebler line classes in $PG(3,q)$, whose images under the Klein correspondence are the tight sets of the Klein quadric. Very recently, some new constructions and necessary conditions for the existence of Cameron-Liebler line classes have been obtained. In this talk, we will discuss a possible extension of these results to the general case of tight sets of hyperbolic quadrics.

Slides: View slides


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