{"id":1163,"date":"2019-01-23T15:44:43","date_gmt":"2019-01-23T23:44:43","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=1163"},"modified":"2019-01-23T15:44:43","modified_gmt":"2019-01-23T23:44:43","slug":"a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf\/","title":{"rendered":"A nonorientable version of the Milnor Conjecture (Cornelia A. Van Cott, USF)"},"content":{"rendered":"<p>In 1968, Milnor famously conjectured that the smooth 4-genus of the torus knot T(p,q) is given by (p-1)(q-1)\/2. This conjecture was first verified by Kronheimer and Mrowka in 1993 and has received several other proofs since then. In this talk, we discuss a nonorientable analogue of this conjecture, first formulated by Josh Batson. We prove the conjecture for infinite families of of torus knots, using tools from knot Floer homology. We also connect the problem to the world of continued fractions, which gives an alternative perspective on the problem. This is joint work with Stanislav Jabuka.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In 1968, Milnor famously conjectured that the smooth 4-genus of the torus knot T(p,q) is given by (p-1)(q-1)\/2. This conjecture was first verified by Kronheimer and Mrowka in 1993 and [&hellip;]<\/p>\n","protected":false},"author":105,"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-1163","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-topology-seminar","cat_topology-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>A nonorientable version of the Milnor Conjecture (Cornelia A. Van Cott, USF) - 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\/event\/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A nonorientable version of the Milnor Conjecture (Cornelia A. Van Cott, USF) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"In 1968, Milnor famously conjectured that the smooth 4-genus of the torus knot T(p,q) is given by (p-1)(q-1)\/2. This conjecture was first verified by Kronheimer and Mrowka in 1993 and [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/event\/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf\/\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf\/\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/a-nonorientable-version-of-the-milnor-conjecture-cornelia-a-van-cott-usf\/\",\"name\":\"A nonorientable version of the Milnor Conjecture (Cornelia A. 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