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SEMINARS
On tight sets of hyperbolic quadrics
时间  Datetime
2017-05-22 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Alexander Gavrilyuk
单位  Affiliation
University of Science and Technology of China
邀请人  Host
Mikhail Tyaglov
报告摘要  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.