新規更新March 12, 2018 at 08:59AM
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Vladimir Turaev
Suslindisambiguator: translated page from corresponding article in de.wikipedia
'''Vladimir Turaev,''' (Владимир Георгиевич Тураев, born 17 October 1954) is a Russian mathematician, specializing in topology.
Turaev received in 1979 from the [[Steklov Institute of Mathematics]] his Candidate of Sciences degree (PhD) under [[Oleg Viro]].<ref></ref> Turaev was a professor at the [[University of Strasbourg]] and then became a professor at [[Indiana University]]. In 2016 he was elected a Fellow of the [American Mathematical Society]].
Turaev's research deals with low-dimensional topology, quantum topology, and knot theory and their interconnections with quantum field theory. In 1991 [[Nicolai Reshetikhin|Reshetikhin]] and Turaev published a mathematical construction of new topological invariants of compact oriented 3-manifolds and framed links in these manifolds, corresponding to a mathematical implementation of ideas in quantum field theory published by [[Edward Witten|Witten]];<ref></ref> the invariants are now called Witten-Reshetikhin-Turaev invariants.
In 1990 Turaev was an Invited Speaker with talk ''State sum models in low dimensional topology'' at the [[International Congress of Mathematicians|ICM]] in [[Kyōto]]. In 2016 he shared, with Alexis Virelizier, the Ferran Sunyer i Balaguer Prize for their monograph ''Monoidal categories and topological field theory''.
==Selected publications==
*''Quantum invariants of Knots and 3-Manifolds'', de Gruyter 1994
*as editor with: Christian Kassel and Marc Rosso: ''Quantum groups and knot invariants'', SMF (Panoramas et Synthèses) 1997
*with [[Anatoly Vershik]] (ed.): ''Topology, ergodic theory, real algebraic geometry - Rokhlin´s memorial'', American Mathematical Society 2001
*''Introduction to combinatorial torsions'', Birkhäuser 2001
*''Torsions of 3-dimensional manifolds'', Wirkhäuser 2002
*with Christian Kassel: ''Braid Groups'', Springer 2008, ISBN 0-387-33841-1
*''Homotopy quantum field theory'', European Mathematical Society 2010
*with Alexis Virelizier: Monoidal Categories and Topological Field Theory, Birkhäuser 2015
==References==
==External links==
*[http://ift.tt/2BFXzcT Vladimir Touraev, Mathematics Department, Indiana University]
*[http://ift.tt/2DkeceM mathnet.ru]
[[Category:20th-century Russian mathematicians]]
[[Category:21st-century Russian mathematicians]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Indiana University faculty]]
[[Category:1954 births]]
[[Category:Living people]]
Turaev received in 1979 from the [[Steklov Institute of Mathematics]] his Candidate of Sciences degree (PhD) under [[Oleg Viro]].<ref></ref> Turaev was a professor at the [[University of Strasbourg]] and then became a professor at [[Indiana University]]. In 2016 he was elected a Fellow of the [American Mathematical Society]].
Turaev's research deals with low-dimensional topology, quantum topology, and knot theory and their interconnections with quantum field theory. In 1991 [[Nicolai Reshetikhin|Reshetikhin]] and Turaev published a mathematical construction of new topological invariants of compact oriented 3-manifolds and framed links in these manifolds, corresponding to a mathematical implementation of ideas in quantum field theory published by [[Edward Witten|Witten]];<ref></ref> the invariants are now called Witten-Reshetikhin-Turaev invariants.
In 1990 Turaev was an Invited Speaker with talk ''State sum models in low dimensional topology'' at the [[International Congress of Mathematicians|ICM]] in [[Kyōto]]. In 2016 he shared, with Alexis Virelizier, the Ferran Sunyer i Balaguer Prize for their monograph ''Monoidal categories and topological field theory''.
==Selected publications==
*''Quantum invariants of Knots and 3-Manifolds'', de Gruyter 1994
*as editor with: Christian Kassel and Marc Rosso: ''Quantum groups and knot invariants'', SMF (Panoramas et Synthèses) 1997
*with [[Anatoly Vershik]] (ed.): ''Topology, ergodic theory, real algebraic geometry - Rokhlin´s memorial'', American Mathematical Society 2001
*''Introduction to combinatorial torsions'', Birkhäuser 2001
*''Torsions of 3-dimensional manifolds'', Wirkhäuser 2002
*with Christian Kassel: ''Braid Groups'', Springer 2008, ISBN 0-387-33841-1
*''Homotopy quantum field theory'', European Mathematical Society 2010
*with Alexis Virelizier: Monoidal Categories and Topological Field Theory, Birkhäuser 2015
==References==
==External links==
*[http://ift.tt/2BFXzcT Vladimir Touraev, Mathematics Department, Indiana University]
*[http://ift.tt/2DkeceM mathnet.ru]
[[Category:20th-century Russian mathematicians]]
[[Category:21st-century Russian mathematicians]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Indiana University faculty]]
[[Category:1954 births]]
[[Category:Living people]]
http://ift.tt/2Fv3U1G
