Семинар
МАТЕМАТИЧЕСКИ ОСНОВИ НА ИНФОРМАТИКАТА

На 10.11.2017 г. от 15.30 часа в аудитория "Джон Атанасов" на ВТУ ще се проведе поредната сбирка на семинара, организиран от секция МОИ и Факултет "Математика и информатика" - ВТУ.

Доклад на тема

Classifying Cubic Surfaces over Small Finite Field

ще изнесе Anton Betten, Colorado State University.

ABSTRACT: This talk will outline some recent results regarding the classi_cation of cubic surfaces with 27 lines over small finite fields by computer. We will discuss several approaches. One approach is associated with the classical theory of Schlaei regarding a double six of lines in projective three-space. Another approach is associated with the blow-up of six general points in a plane. After this, we will present a prolific family of cubic surfaces which exist for all fields of odd order. The generic members of this family are invariant under a symmetric group of degree four semidirect product the automorphism group of the field. The family includes the Clebsch and the Fermat surfaces.

ANTON BETTEN is a leading scientist in the theory of group actions on finite sets and combinatorial objects. He considers applications of combinatorics to coding theory, design theory and finite geometry.

Поканват се всички желаещи.