{"id":9086,"date":"2015-04-24T15:38:13","date_gmt":"2015-04-24T13:38:13","guid":{"rendered":"http:\/\/www.h-its.org\/?page_id=9086"},"modified":"2023-10-09T16:11:56","modified_gmt":"2023-10-09T14:11:56","slug":"grg","status":"publish","type":"page","link":"https:\/\/www.h-its.org\/de\/forschung\/grg\/","title":{"rendered":"Groups and Geometry (GRG)"},"content":{"rendered":"\n<p>Symmetrien spielen eine zentrale Rolle in der Mathematik.<br>Durch die Betrachtung der inh\u00e4renten Symmetrien eines mathematischen Objektes l\u00e4sst sich die Komplexit\u00e4t mathematischer Probleme reduzieren. Dies f\u00fchrt oftmals zu einem interessanten Zusammenspiel von geometrischen Strukturen einerseits und algebraischen Strukturen andererseits.<br>Die Arbeitsgruppe &#8222;Gruppen und Geometrie&#8220; unter der Leitung von <a href=\"https:\/\/www.h-its.org\/de\/2017\/08\/16\/anna-wienhard\/\" target=\"_blank\" rel=\"noreferrer noopener\">Anna Wienhard<\/a> nahm 2015 ihre Arbeit am HITS auf. Sie besch\u00e4ftigte sich mit verschiedenen mathematischen Problemen aus dem Gebiet der Geometrie und Topologie, in denen das Zusammenspiel zwischen geometrischen R\u00e4umen, wie etwa Riemannschen Mannigfaltigkeiten oder metrischen R\u00e4umen, und Gruppen, zum Beispiel Symmetriegruppen, die auf diesen wirken, eine wichtige Rolle spielt.<br>Besondere Forschungsschwerpunkte bilden Deformationsr\u00e4ume geometrischer Strukturen, Modulr\u00e4ume von B\u00fcndeln, sowie Lie Gruppen und deren diskrete Untergruppen.<\/p>\n\n\n\n<p>\u00dcber ihre mathematische Forschung hinaus war die Arbeitsgruppe an der Interaktion mit anderen Naturwissenschaften interessiert und arbeitete intensiv an Projekten im Rahmen des <a href=\"https:\/\/www.h-its.org\/de\/forschung\/hits-lab\/\" target=\"_blank\" rel=\"noreferrer noopener\">HITS Lab<\/a> mit.<\/p>\n\n\n\n<p>Gruppenleiterin Anna Wienhard folgte Ende 2022 einem<a href=\"https:\/\/www.h-its.org\/de\/2022\/11\/04\/anna-wienhard-mpi\/\" target=\"_blank\" rel=\"noreferrer noopener\"> Ruf an das Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften<\/a> in Leipzig. Sie wurde im Juli 2023 als <a href=\"https:\/\/www.h-its.org\/de\/2023\/07\/13\/wienhard-hits-fellow\/\" target=\"_blank\" rel=\"noreferrer noopener\">&#8222;HITS Fellow&#8220;<\/a> ausgezeichnet, der h\u00f6chsten Ehrung, die das Institut vergibt. Die &#8222;Groups and Geometry&#8220;-Gruppe blieb dem HITS noch bis 2023 mit dem HITS Lab-Projekt <a href=\"https:\/\/www.h-its.org\/de\/projects\/organic-materials-by-geometrical-design\/\" target=\"_blank\" rel=\"noreferrer noopener\">&#8222;Organic Materials by Geometric Design&#8220; <\/a>erhalten. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Die GRG Gruppe besch\u00e4ftigte sich mit verschiedenen mathematischen Problemen aus dem Gebiet der Geometrie und Topologie, in denen das Zusammenspiel &#8230;<\/p>\n","protected":false},"author":3,"featured_media":40644,"parent":4,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"page-templates\/group.php","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"hits-research-group":[1293],"class_list":["post-9086","page","type-page","status-publish","has-post-thumbnail","hentry","hits-research-group-grg-de"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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