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.

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