Seminar of the Mathematical Foundations of Mathematics Department

The next meeting of the seminar, organized by the Mathematical Foundations of Informatics Department and the Faculty of Mathemathics and Informatics of the University of Veliko Tarnovo, will be held on November 10, 2017 at 15:30 in John Atanassoff Auditorium of the University of Veliko Tarnovo.

Anton Betten, Colorado State University, 

will deliver a talk on

Classifying Cubic Surfaces over Small Finite Fields.

(Joint work with Fatma Karaoglu)

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.

Everybody is invited.