{"id":14044,"date":"2024-02-13T12:43:38","date_gmt":"2024-02-13T18:43:38","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14044"},"modified":"2024-02-19T08:30:38","modified_gmt":"2024-02-19T14:30:38","slug":"colloquium-dr-selvi-kara","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/colloquium-dr-selvi-kara\/","title":{"rendered":"Colloquium : Dr. Selvi Kara"},"content":{"rendered":"
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Combinatorial Resolutions of Monomial Ideals<\/h1>\n

Dr. Selvi Kara<\/a>
\nAssistant Professor of Mathematics<\/i>
\nBryn Mawr College<\/p>\n

One of the central problems in commutative algebra concerns understanding the structure of an ideal in a polynomial ring. Abstractly, an ideal\u2019s structure can be expressed through an object called its minimal resolution, but there is no explicit method to obtain a minimal resolution in general, even for the simpler and fundamental class known as monomial ideals.<\/p>\n

In this talk, we will focus on resolutions of monomial ideals. In particular, I will introduce a new combinatorial method that provides a resolution of any monomial ideal using tools from discrete Morse theory.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Combinatorial Resolutions of Monomial Ideals Dr. Selvi Kara Assistant Professor of Mathematics Bryn Mawr College One of the central problems in commutative algebra concerns understanding the structure of an ideal in a polynomial ring. Abstractly, an ideal\u2019s structure can be …<\/p>\n","protected":false},"author":30222,"featured_media":0,"template":"","meta":{"_acf_changed":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":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[41],"class_list":["post-14044","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-colloquia","cat_colloquia"],"yoast_head":"\nMathematical 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:\/\/uwm.edu\/math\/event\/colloquium-dr-selvi-kara\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Colloquium : Dr. Selvi Kara\" \/>\n<meta property=\"og:description\" content=\"Combinatorial Resolutions of Monomial Ideals Dr. Selvi Kara Assistant Professor of Mathematics Bryn Mawr College One of the central problems in commutative algebra concerns understanding the structure of an ideal in a polynomial ring. 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