Raziskovalni matematični seminar
Raziskovalni matematični seminar poteka v organizaciji oddelkov za matematiko dveh članic Univerze na Primorskem - UP FAMNIT in Inštituta Andrej Marušič (UP IAM), in sicer vsak ponedeljek od oktobra do junija.
Vljudno vabljeni k udeležbi na prihodnjih seminarjih!
Cubic Surfaces are a classical area of study. In this talk we will discuss some recent results by Anton Betten and Fatma Karaoglu, and show how they give rise to interesting geometric consequences for a particular family of cubic surfaces over finite fields with characteristic 2.
ZOOM link: https://upr-si.zoom.us/j/65127426860?pwd=kYjS6yFt6yeUcYAGGPcnJShbb5UI7r.1
We investigate finite semigroups equipped with a preorder relation that is compatible with the semigroup operation and we develop an enumeration methodology based on automorphism group actions. For a fixed finite semigroup S, the automorphism group Aut(S) acts naturally on the set Pre(S) of compatible preorders via pushforward; the orbits of this action correspond exactly to isomorphism classes of preordered semigroups. Using known classifications of semigroups of small order, together with exhaustive generation of compatible preorders, our method yields a complete enumeration of preordered semigroups up to order five. Finally, this framework opens a computational window toward the study of more complex algebraic systems, particularly EL-hyperstructures arising in hypercompositional algebra, where preordered semigroups serve as a fundamental tool for their construction.
ZOOM link: https://upr-si.zoom.us/j/65127426860?pwd=kYjS6yFt6yeUcYAGGPcnJShbb5UI7r.1
