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International conference "Geometrical Methods in Mathematical Physics"
December 14, 2011 11:50–12:35, Moscow, Lomonosov Moscow State University
 


Factorization in categories of systems of linear partial differential equations

S. P. Tsarev

Institute of Mathematics, Siberian Federal University, Krasnoyarsk
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Flash Video 1,494.1 Mb
Flash Video 300.4 Mb
MP4 300.4 Mb
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Adobe PDF 286.0 Kb

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S. P. Tsarev


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Abstract: We give a review of the current state of the theory of factorization of ordinary and partial differential operators and even more generally, of systems of linear differential equations.
The main part of the talk will be devoted to modern generalizations of the factorization theory based on some constructions from the ring theory, theory of partially ordered sets (lattices) and that of abelian categories.

Materials: gmmp2011_stsarev.pdf (286.0 Kb)

Language: English

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