{"id":6364,"date":"2021-02-26T09:12:58","date_gmt":"2021-02-26T08:12:58","guid":{"rendered":"http:\/\/www.mi.uni-koeln.de\/opt\/?page_id=6364"},"modified":"2021-06-01T13:55:25","modified_gmt":"2021-06-01T11:55:25","slug":"blockseminar-diskrete-mathematik-sose-2021","status":"publish","type":"page","link":"http:\/\/www.mi.uni-koeln.de\/opt\/veranstaltungen\/blockseminar-diskrete-mathematik-sose-2021\/","title":{"rendered":"Blockseminar: Diskrete Mathematik (SoSe 2021)"},"content":{"rendered":"

Datum<\/strong>:<\/strong> Blockseminar, 27.9.2021 – 30.9.2021
Ort:<\/strong>\u00a0Mathematisches Institut oder Zoom<\/p>\n

Vorbesprechung und Themenverteilung: 16. Juni 2021, 16 Uhr (zoom) Es gibt noch freie Pl\u00e4tze, bei Interesse bitte per Email melden.<\/strong><\/span><\/p>\n

Themen:<\/strong><\/p>\n

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  1. Invariantentheorie und Anwendungen
    a. Das Theorem von Molien
    b. Der Invariantenring ist Cohen-Macaulay
    c. Das Theorem von Chevalley
    d. Anwendungen in der Codierungstheorie<\/li>\n
  2. Triangulierungen und Minkowksi-Unterteilungen von Polytopen
    a. Das Sekund\u00e4rpolytop
    b. Der Cayleytrick<\/li>\n<\/ol>\n

    Literatur<\/strong><\/p>\n

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    1. – L.C. Grove, C.T. Benson – Finite reflection groups, Springer, 1985
      – R.P. Stanley – Invariants of finite groups and their applications to combinatorics, Bull. Amer. Math. Soc. (new series) 1 (1979), 475-511.
      – B. Sturmfels – Algorithms in invariant theory, Springer, 2008
      – N.J.A. Sloane –\u00a0Error-correcting codes and invariant theory: new applications of a nineteenth-century technique. Am. Math. Mon 84 (1977), 82\u2013107.<\/li>\n
    2. – I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky – Discriminants,
      Resultants, and Multidimensional Determinants, Springer, 1994
      – J.A. De Loera, J. Rambau, F. Santos – Triangulations,
      Structures for Algorithms and Applications, Springer, 2010<\/li>\n<\/ol>\n

      Spielregeln<\/strong><\/p>\n