Algebraic Modeling of Topological and Computational Structures and Applications: Thales, Athens, Greece, July 1-3, 2015 (Paperback)

Chapter 1: Algebraic Modeling of Topological Structures - Knot invariants - framization of knot algebras - Knots and braids in 3-manifolds - Poly-free groups, Lie algebras, braid groups and homotopy groups of spheres Chapter 2: Algebraic Modeling of Applications - Topological study of polymer entanglements - Molecular simulation of ionic liquids - Dynamical systems and topological surgery Chapter 3: Algebraic Modeling of Computational Structures - Modeling based on algebraic specifications - Algebraic techniques for the modeling of video - Cryptography and coding theory - Applications in medical imaging Contributed talks in the Thales Workshop, 1-3 July 2015 1: Algebraic Modeling of Topological Structures Elements of Khovanov Homology University of Illinois at Chicago Word problem for virtual braid groups Luis Paris Univ. Bourgogne Franche-Comte, F-21000 Dijon, France A new skein invariant for classical links from the Yokonuma-Hecke algebras Sofiaa Lambropoulou National Technical University of Athens Classification of Markov traces on Yokonuma-Hecke algebras L. Poulain d'Andecy Universite de Reims Framization of the Temperley-Lieb algebra Dimos Goundaroulis National Technical University of Athens Quotient algebras of mixed braid groups with two fixed strands Dimitrios Kodokostas National Technical University of Athens Representation theory of framisations of knot algebras M. Chlouveraki Univers ite de Versailles The HOMFLYPT skein module of the lens spaces L(p ,1) Maciej Mroczkowski (joint work with Bostjan Gabrovsek) Institute of Mathematics, University of Gdansk The isomorphism function from S 3 (L(p,1)) to the free module Bostjan Gabrovsek (joint work with Maciej Mroczkowski) FME, University of Ljubljana The Homflypt skein module of L(p,1) via braids Ioannis Diamantis and Sofiaa Lambropoulou National Technical University of Athens Infinite loop spaces, Steenrod, Dyer-Lashof and Dickson algebras Nondas Kechagias Department of Mathematics, University of Ioannina 2: Algebraic Modeling of Applications Entanglements in Molecular Simulations of Polymers Christos Tzoumanekas, Stefanos D. Anogiannakis, Georgios G. Vogiatzis, and Doros N. Theodorou School of Chemical Engineering, National Technic al University of Athens Models of Knotting and Linking in P olymeric S ystems /p K enneth C. Millett University of California, Santa Barbara A study of the entanglement in systems of curves with Periodic Boundary Conditions E Panagiotou University of California, Santa Barbara Threading of ring poly(ethylene oxide) molecules by linear chains or other rings in the melt: molecular dynamics simulations followed by a geometric analysis Dimitrios Tsalikis, Vlasis Mavrantzas University of Patras Chain Size and Shape Dependence of the Tendency for Entanglement in Linear Polymer Melts Christos Tzoumanekas, Stefanos D. Anogiannakis and Doros N. Theodorou School of Chemical Engineering, National Technical University of Athens Extending Topological Surgery to Natural Processes Sofia Lambropoulou and Stathis Antoniou National Technical University of Gr eece Molecular Simulation of Ion ic Liquids: S tructure, Dynamic s and Permeabi lity Properties Niki Vergadou 1 and Eleni Androulaki 1 and Ioannis G. Economou 1,2 1 National Center for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Molecular Thermodynamics and Modelling of Materials Laboratory and 2 Texas A&M University at Qatar, Chemical Engineering Program, Education City, PO Box 23874, Doha, Qatar On (p-)almost direct products and residual properties of pure braid groups of surfaces P. Bellingeri Laboratoire Nicolas Oresme ESPE de Basse Normandie Universit de Caen 3: Algebraic Modeling of Computational Structures On Algebraic Modeling of Comput