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Algebraic modeling of topological and computational structures and applications : THALES, Athens, Greece, July 1-3, 2015

Author: Sofia Lambropoulou; Doros Nicolas Theodorou; Petros Stefaneas; Louis H Kauffman
Publisher: Cham, Switzerland : Springer, [2017] ©2017
Series: Springer proceedings in mathematics & statistics, v. 219.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
THALES Workshop "Algebraic Modeling of Topological and Computational Structures and Applications" (2015 : Athens, Greece).
Algebraic modeling of topological and computational structures and applications.
Cham, Switzerland : Springer, [2017]
(OCoLC)1002127955
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sofia Lambropoulou; Doros Nicolas Theodorou; Petros Stefaneas; Louis H Kauffman
ISBN: 9783319681030 3319681036
OCLC Number: 1015675030
Description: 1 online resource.
Contents: 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 spheresChapter 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 imagingContributed talks in the Thales Workshop, 1-3 July 2015 1: Algebraic Modeling of Topological Structures Elements of Khovanov HomologyUniversity of Illinois at Chicago Word problem for virtual braid groupsLuis ParisUniv. Lambropoulou21Universidad de Valparaiso,  2National Technical University of Athens The Juyumaya-Lambropoulou classical link invariants from the Yokonuma-Hecke algebrasM. Chlouveraki1, J. Juyumaya2, K. Karvounis3, S. Lambropoulou41Universite de Versailles Saint-Quentin-en-Yvelines,  2Universidad de Valparaiso,  3Universitat Zurich,  4National Technical University of Athens Markov trace on the bt-algebra and tied linksF. Aicardi1, J. Juyumaya21International School for Advanced Studies,  2Universidad de Valparaiso Framization of the Temperley-Lieb algebraD. GoundaroulisNational Technical University of Athens Braid equivalences in 3-manifolds with rational surgery descriptionI. Diamantis, S. LambropoulouNational Technical University of Athens A new basis for the Homypt skein module of the solid torusI. Diamantis, S. LambropoulouNational Technical University of Athens The Isomorphism Conjecture for Subgroups of Aut(Fn) – Equivariant and Stratified Rigidity of Quasitoric ManifoldsV.
Series Title: Springer proceedings in mathematics & statistics, v. 219.
Responsibility: Sofia Lambropoulou, Doros Theodorou, Petros Stefaneas, Louis H. Kauffman, editors.

Abstract:

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification  Read more...

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