Abstract: A super-modular category is a unitary pre-modular category with M\u00fcger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:\u00a0 $\\Gamma_\\theta<\\mathrm{SL}(2, \\mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen, Cho- Kim-Seo-You computed modular data from congruence representations of $\\Gamma_\\theta $ using the congruence subgroup theorem for super-modular categories of \u00a0Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of \u00a0Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\\Z\/6$ and $\\Z\/2\\times \\Z\/4$. The methods we develop have more general applications, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.<\/div>\n","protected":false},"excerpt":{"rendered":"
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Qing Zhang (UC Santa Barbara) Title: Super-modular categories from near-group centers Abstract: A super-modular category is a unitary […]<\/p>\n","protected":false},"author":234,"featured_media":0,"template":"","meta":{"_acf_changed":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,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[17],"class_list":["post-3365","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-topology-seminar","cat_topology-seminar"],"acf":[],"yoast_head":"\n
Claremont Topology Seminar: Qing Zhang (UC Santa Barbara) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3365\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Claremont Topology Seminar: Qing Zhang (UC Santa Barbara) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"We welcome all undergraduates and graduate students to attend topology seminar! 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