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| MATH0468-1 | Algebraic Analysis
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| Duration : | 30h Th, 10h Pr, 20h Mon. WS |
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| Credits/ECTS : |
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| Holder(s) : | Jean‑Pierre Schneiders |
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| Language : | Langue française |
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| Course contents : | This course presents first the basic results of
theory of sheaves and then deals with the theory of modules over the sheaf of linear differential operators with holomorphic coefficients. One then shows how the study of these modules is related to the one of systems of partial differential equations in the complex domain. Finally, one shows how to apply some results of homological algebra and sheaf theory to obtain local and global informations on the solutions of systems of this kind. |
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| Course objective : | To allow the students to understand recent works on algebraic analysis and to begin a research work in this field. |
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| Prerequisites : | Good knowledge of algebra, topology, geometry, analysis and algebraic topology. |
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| Organization : | To be fixed with the students. |
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| Written notes : | Reference texts are pointed out at the beginning of the course. |
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| Assessment : | To be fixed with the students. |
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| Contacts : | Jean-Pierre Schneiders
Département de Mathématique (Bât. B37, Bureau 1/60)
Grande Traverse 12 - 4000 Liège (Sart-Tilman)
Tél. : (04) 366.94.01 - E-Mail : jpschneiders@ulg.ac.be
Web page : http://www.analg.ulg.ac.be/jps/ |
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