" invariants" . "The results of the project are dominated by the work of Jan \u0160\u0165ov\u00ED\u010Dek (supervised by Jan Trlifaj), who solved several deep problems and hypothesis, published 7 important papers and was awarded the price of the Minister. Altogether, 11 original papers were"@en . "2008-04-25+02:00"^^ . "2008-12-31+01:00"^^ . . " modules" . . . "http://www.isvav.cz/projectDetail.do?rowId=GD201/05/H005"^^ . . . "0"^^ . . " algebras" . . "Projektu dominuj\u00ED v\u00FDsledky Jana \u0160\u0165ov\u00ED\u010Dka (\u0161kolitel Jan Trlifaj), kter\u00FD b\u011Bhem \u0159e\u0161en\u00ED projektu vy\u0159e\u0161il n\u011Bkolik z\u00E1sadn\u00EDch probl\u00E9m\u016F a hypot\u00E9z, publikoval 7 v\u00FDznamn\u00FDch prac\u00ED a za svoji pr\u00E1ci z\u00EDskal cenu ministra. V souvisej\u00EDc\u00EDch oblastech algebry, teorie \u010D\u00EDse"@cs . "1"^^ . " connections" . "1"^^ . . "2009-10-07+02:00"^^ . "Algebra a geometrie: propojen\u00ED a trendy v sou\u010Dasn\u00E9 matematice" . " categories" . . . "Geometric results are expressed, as a rule, in the algebraic language, while the geometric thinking always is of essential help when dealing with algebraic problems. Together, the algebraic and geometric approach is behind groundbreaking analytical results. The main goal of the project is to enable the union of the two strongest groups in these disciplines in the Czech Republic, to expand the tradition of joint seminars and wider co-operation, to offer jointly research themes for doctoral thesis for both Czech and foreign students, to organize the invited lecture series of foreign guests, and to allow in this way the current and future students of the Charles University and Masaryk university not only to achieve a deeper and more effective education but also to gain a better chance for carrier in academic or commercial institutions. The research will focus on category theory and representations in its algebraic part, while the applications of the algebraic representational methods in"@en . . . "geometric structutres" . "Algebra and Geometry: the reunion and trends in current mathematics"@en . . "18"^^ . . . "18"^^ . . " groups" . "GD201/05/H005" . "geometric structutres; connections; invariants; categories; modules; algebras; groups; representations"@en . "Geometrick\u00E9 v\u00FDsledky jsou vyjad\u0159ov\u00E1ny zpravidla jazykem algebry a naopak geometrick\u00E9 my\u0161len\u00ED v\u00FDrazn\u011B pom\u00E1h\u00E1 pri zkoum\u00E1n\u00ED algebraick\u00FDch probl\u00E9m\u016F. Spole\u010Dn\u011B pak jsou algebraick\u00E9 a geometrick\u00E9 postupy zdrojem z\u00E1sadn\u00EDch v\u00FDsledk\u016F analytick\u00FDch. Hlavn\u00EDm c\u00EDlem projektu je umo\u017Enit propojen\u00ED nejsiln\u011Bj\u0161\u00EDch pracovi\u0161\u0165 v \u010Cesk\u00E9 republice v t\u011Bchto dvou discipl\u00EDn\u00E1ch, roz\u0161\u00ED\u0159it tradici spole\u010Dn\u00FDch semin\u00E1\u0159\u016F a \u0161ir\u0161\u00ED spolupr\u00E1ce, spole\u010Dn\u011B nab\u00EDzet t\u00E9mata doktorsk\u00FDch prac\u00ED pro \u010Desk\u00E9 i zahrani\u010Dn\u00ED studenty, spole\u010Dn\u011B po\u0159\u00E1dat p\u0159edn\u00E1\u0161ky zahrani\u010Dn\u00EDch host\u016F a umo\u017Enit tak sou\u010Dasn\u00FDm i budouc\u00EDm student\u016Fm University Karlovy a Masarykovy univerzity nejen hlub\u0161\u00ED a efektivn\u011Bj\u0161\u00ED vzd\u011Bl\u00E1n\u00ED, ale i v\u011Bt\u0161\u00ED \u0161ance na dal\u0161\u00ED kari\u00E9rn\u00ED r\u016Fst v akademick\u00E9m nebo pr\u016Fmyslov\u00E9m v\u00FDzkumu. Projekt bude zam\u011B\u0159en v algebraick\u00E9 \u010D\u00E1sti na teorii kategori\u00ED a reprezentace, v geometrick\u00E9 pak na vyu\u017E\u00EDv\u00E1n\u00ED algebraick\u00FDch reprezenta\u010Dn\u00EDch metod v geometrick\u00E9 anal\u00FDze i diferenci\u00E1ln\u00ED geometrii, spolu s vyu\u017Eit\u00EDm geometrick\u00E9 teorie m\u00EDry." . . "2005-01-01+01:00"^^ . .