Информационная система "Конференции"

Вычислительные и информационные технологии в науке, технике и образовании

Усть-Каменогорск, Казахстан, 11-14 сентября 2003 года

Тезисы докладов

Интервальные ПРОП, интервальные операды, их свойства и приложения

Глазунов Н.М.

Институт кибернетики им.Глушкова НАН Украины (Киев)

PROPs was introduced by Mac Lane and Adams. Their topological versions was defined by Bordman and explored by Bordman and Vogt [1]. Operads was introduced by J. May [2].

PROPs and operadic language is useful for description and investigation of many problems in mathematics and physics. Some recent applications of operads in physics is given by J. Morava [3].

We will discuss definitions of interval PROPs and operads and give a short description of their properties and applications. This is the extension of interval part of my papers [4-6].

1. J.M. Boardman, R.M. Vogt, Invariant algebraic structures on topological spaces, LNM 347, Springer, Berlin, 1973.

2. J.P. May, The geometry of iterated loop spaces, LNM 271, Springer, Berlin, 1972.

3. J. Morava, Braids, trees, and operads, arXiv:math.AT/01090862

4. N.M. Glazunov, On Validated Numerics, Category Theory and Computer Algebra Framework for Simulation and Computation in Theoretical Physics. Nuclear Inst. and Methods in Physics, A, 2003.

5. N.M. Glazunov, Category Theory Aspects of Complex Manifolds and Problems of Mirror Symmetry (in Russian,) Problemy Programmirovaniya. No. 3-4, Kiev, (2002) pp.104-110.

6. Glazunov N. On algebraic geometric and computer algebra aspects of mirror symmetry. E-print. 11p. http://arXiv.org/abs/hep-th/0112250

Примечание. Тезисы докладов публикуются в авторской редакции

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