{"id":3620,"date":"2023-09-08T15:56:17","date_gmt":"2023-09-08T13:56:17","guid":{"rendered":"https:\/\/www.uni.lu\/fstm-en\/blog\/research-groups\/geometric-structure-and-moduli-spaces\/"},"modified":"2025-06-18T12:08:57","modified_gmt":"2025-06-18T10:08:57","slug":"geometric-structure-and-moduli-spaces","status":"publish","type":"research-groups","link":"https:\/\/www.uni.lu\/fstm-en\/research-groups\/geometric-structure-and-moduli-spaces\/","title":{"rendered":"Geometric Structure and Moduli Spaces"},"content":{"rendered":"
\n \n
\n \n \n Overview<\/span>\n \n \n <\/svg>\n <\/button>\n\n
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    \nGeometry is beautiful<\/h1>\n<\/div>\n<\/header>\n
    \n \n\"loustau1\"\n <\/figure>\n
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    We study geometric structures on low-dimensional manifolds, such as hyperbolic or anti-de Sitter structures, representations of surface groups in Lie groups, and their moduli spaces.<\/p>\n\n\n

      \n\n<\/ul>\n<\/div>\n<\/div>\n <\/div>\n<\/section><\/div>\n<\/div>\n\n
      \n \n
      \n

      \nGeometric structures on low-dimensional manifolds, surface<\/h2>\n\n\n\n
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      \n \n\"\"\n <\/figure><\/section><\/div>\n\n\n\n
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      \n<\/h3>\n\n\n\n

      Most compact surfaces without boundary can be equipped with hyperbolic metrics, or, equivalently, with complex structures. The space of all those structures, called the Teichm\u00fcller space of the surface, has a rich geometry. One way to understand this geometry is through closely related geometric structures on 3-dimensional manifolds: quasifuchsian hyperbolic structures, or their Lorentzian cousin<\/p>\n<\/div>\n\n\n\n

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            \nHead of Group<\/h3>\n\n
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            \n \n\"\"\n <\/figure><\/div>\n\n\n\n
            \n
            \nProf. Jean-Marc SCHLENKER<\/h5>\n\n\n\n

            Full professor in Mathematics <\/p>\n\n

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                We study geometric structures on low-dimensional manifolds, such as hyperbolic or anti-de Sitter structures, representations of surface groups in Lie groups, and their moduli spaces.<\/p>\n","protected":false},"author":115,"featured_media":3619,"parent":0,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"Geometric Structure and Moduli Spaces","uluxPrePostTitle":"Research Group","_trash_the_other_posts":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false},"field-of-interest":[294],"organisation":[65,29],"authorship":[115,112,215],"acf":[],"yoast_head":"\nGeometric Structure and Moduli Spaces - 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