Seminar za računarstvo i primenjenu matematiku, 5. mart 2013.

Naredni sastanak seminara za računarstvo i primenjenu matematiku biće održan u utorak, 5. marta 2013. u 14:15 časova, sala 301f, Matematički institut, SANU.

Predavači: Slavik Jablan, ICT College of Vocational Studies, University of Belgrade; Radmila Sazdanović, Department of Mathematics University of Pennsylvania, USA

Naslov predavanja: LinKnot-KNOT THEORY BY COMPUTER

Sadržaj: In this lecture we will give an overview of interesting problems in knot theory and connect them with the other disciplines, as art, chemistry, biology, or architecture. We analyze applications of knots and links in the Ancient art, beginning from Babylonian, Egyptian, Greek, Byzantine and Celtic art. Construction methods used in art are analyzed on the examples of Celtic art and ethnical art of Tchokwe people from Angola or Tamil art, where knots are constructed as mirror-curves. We propose different methods for generating knots and links based on geometric polyhedra, suitable for applications in architecture and sculpture.

As a tool for analyzing knot theory problems we propose the program LinKnot, Mathematica based knot theory program that works with knots and links given in the Conway notation. For the first time in a knot-theory computer program you can use human-comprehensive Conway notation of knots and links (shortly: KLs) represented as a Mathematica string and work with links, and not only with knots. The program provides also the complete data base of alternating KLs with at most 12 crossings, and non-alternating KLs with at most 11 crossings, and the data base of basic polyhedra with at most 20 crossings.

By using it, it is possible to draw KLs, calculate all polynomial invariants of KLs, work with braids, reduce KLs, work with virtual KLs, etc. The main property of the program is a possibility to use it as a tool in experimenting with KLs, for computing properties connected with infinite classes of KLs (KL families) and make new conjectures in knot theory.

The webMathematica interactive version of the program (supported by Wolfram Research and ICT) and the electronic book LinKnot you can find at the address http://math.ict.edu.rs/

Napomena: Predavanje je organizovano kao webinar što znači da će se prenosti direktno za sve koji se na vreme registruju i uloguju na http://www.webinar.co.rs/.

Najava predavanja je već postavljena na ovoj adresi.


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