Seminar za geometriju, obrazovanje i vizuelizaciju sa primenama, 20. novembar 2014.

Naredni sastanak Seminara biće održan u četvrtak, 20. novembra 2014. u sali 301f Matematičkog instituta SANU sa početkom u 17:15. Biće održana dva predavanja.

Prvo predavanje, od 17:15-18:15 održaće Marko Stošić

Naslov predavanja: Dilogaritmi, hiperboličke zapremine, specijalne vrednosti L-funkcija i čvorovi (III deo)

Drugo predavanje, sa početkom u 18:15 održaće Stipe Vidak (Zagreb)

Naslov predavanja: Geometrija nekih specijalnih klasa IM-kvazigrupa

Sadržaj:
The concept of an IM-quasigroup, an idempotent medial quasigroup, is defined as a quasigroup whose elements satisfy the identities of idempotency and mediality. Motivated by the basic example $C(q)$ some geometric concepts can be defined in an IM-quasigroup. Many subclasses of IM-quasigroups have been defined and studied. We mention some of them (GS-quasigroups, quadratical quasigroups, hexagonal quasigroups and pentagonal quasigroups) and study their algebraic and geometric properties. In each of these classes the concept of the parallelogram and the midpoint of a segment can be defined. Some other interesting geometric concepts can be defined in different classes, e.g. regular triangles and hexagons in hexagonal and regular pentagons and decagons in pentagonal quasigroups. We present some of these results and give some examples and illustrations.



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