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 ParisUniv. 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 algebrasL. 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 S3(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 PolymersChristos 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 Systems/p>K
enneth C. MillettUniversity 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: Structure, Dynamics and Permeability Properties Niki Vergadou1 and Eleni Androulaki1 and Ioannis G. Econ
