{"id":3146,"global_id":"colleges.claremont.edu\/ccms?id=3146","global_id_lineage":["colleges.claremont.edu\/ccms?id=3146"],"author":"73","status":"publish","date":"2023-08-24 09:14:26","date_utc":"2023-08-24 16:14:26","modified":"2023-08-24 09:14:26","modified_utc":"2023-08-24 16:14:26","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/numerical-semigroups-minimal-presentations-and-posets-chris-oneill-sdsu\/","rest_url":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/events\/3146","title":"Numerical semigroups, minimal presentations, and posets (Chris O’Neill, SDSU)","description":"
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A numerical semigroup is a subset S of the natural numbers that is closed under addition.\u00a0 One of the primary attributes of interest in commutative algebra are the relations (or trades) between the generators of S; any particular choice of minimal trades is called a minimal presentation of S (this is equivalent to choosing a minimal binomial generating set for the defining toric ideal of S).\u00a0 In this talk, we present a method of constructing a minimal presentation of S from a portion of its divisibility poset.\u00a0 Time permitting, we will explore connections to polyhedral geometry.<\/div>\n
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No familiarity with numerical semigroups or toric ideals will be assumed for this talk.<\/div>\n<\/div>\n
<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>","excerpt":"","slug":"numerical-semigroups-minimal-presentations-and-posets-chris-oneill-sdsu","image":false,"all_day":false,"start_date":"2023-09-12 12:15:00","start_date_details":{"year":"2023","month":"09","day":"12","hour":"12","minutes":"15","seconds":"00"},"end_date":"2023-09-12 13:10:00","end_date_details":{"year":"2023","month":"09","day":"12","hour":"13","minutes":"10","seconds":"00"},"utc_start_date":"2023-09-12 19:15:00","utc_start_date_details":{"year":"2023","month":"09","day":"12","hour":"19","minutes":"15","seconds":"00"},"utc_end_date":"2023-09-12 20:10:00","utc_end_date_details":{"year":"2023","month":"09","day":"12","hour":"20","minutes":"10","seconds":"00"},"timezone":"America\/Los_Angeles","timezone_abbr":"PDT","cost":"","cost_details":{"currency_symbol":"","currency_code":"","currency_position":"","values":[]},"website":"","show_map":true,"show_map_link":true,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Algebra \/ Number Theory \/ Combinatorics Seminar","slug":"antc-seminar","term_group":0,"term_taxonomy_id":13,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":171,"filter":"raw","term_order":"0","id":13,"urls":{"self":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories\/13","collection":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":3147,"author":"73","status":"publish","date":"2023-08-24 09:14:27","date_utc":"2023-08-24 16:14:27","modified":"2023-08-28 09:35:16","modified_utc":"2023-08-28 16:35:16","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/roberst-north-102-cmc\/","venue":"Roberts North 102, CMC","slug":"roberst-north-102-cmc","json_ld":{"@type":"Place","name":"Roberts North 102, CMC","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/roberst-north-102-cmc\/","address":{"@type":"PostalAddress"},"telephone":"","sameAs":""},"show_map":true,"show_map_link":true,"global_id":"colleges.claremont.edu\/ccms?id=3147","global_id_lineage":["colleges.claremont.edu\/ccms?id=3147"]},"organizer":[{"id":426,"author":"73","status":"publish","date":"2018-08-17 08:08:12","date_utc":"2018-08-17 15:08:12","modified":"2018-08-17 08:08:12","modified_utc":"2018-08-17 15:08:12","url":"https:\/\/colleges.claremont.edu\/ccms\/organizer\/lenny-fukshansky-4\/","organizer":"Lenny Fukshansky","slug":"lenny-fukshansky-4","json_ld":{"@type":"Person","name":"Lenny Fukshansky","description":"","url":"","telephone":"","email":"","sameAs":""},"global_id":"colleges.claremont.edu\/ccms?id=426","global_id_lineage":["colleges.claremont.edu\/ccms?id=426"]},{"id":433,"author":"73","status":"publish","date":"2018-08-08 15:52:55","date_utc":"2018-08-08 22:52:55","modified":"2018-08-08 15:52:55","modified_utc":"2018-08-08 22:52:55","url":"https:\/\/colleges.claremont.edu\/ccms\/organizer\/gizem-karaali-2\/","organizer":"Gizem Karaali","slug":"gizem-karaali-2","json_ld":{"@type":"Person","name":"Gizem Karaali","description":"","url":"","telephone":"","email":"","sameAs":""},"global_id":"colleges.claremont.edu\/ccms?id=433","global_id_lineage":["colleges.claremont.edu\/ccms?id=433"]}],"custom_fields":[],"json_ld":{"@context":"http:\/\/schema.org","@type":"Event","name":"Numerical semigroups, minimal presentations, and posets (Chris O’Neill, SDSU)","description":"<p>A numerical semigroup is a subset S of the natural numbers that is closed under addition.\u00a0 One of the primary attributes of interest in commutative algebra are the relations (or […]<\/p>\\n","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/numerical-semigroups-minimal-presentations-and-posets-chris-oneill-sdsu\/","eventAttendanceMode":"https:\/\/schema.org\/OfflineEventAttendanceMode","eventStatus":"https:\/\/schema.org\/EventScheduled","startDate":"2023-09-12T12:15:00-07:00","endDate":"2023-09-12T13:10:00-07:00","location":{"@type":"Place","name":"Roberts North 102, CMC","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/roberst-north-102-cmc\/","address":{"@type":"PostalAddress"},"telephone":"","sameAs":""},"organizer":{"@type":"Person","name":"Lenny Fukshansky","description":"","url":"","telephone":"","email":"","sameAs":""},"performer":"Organization"},"ticketed":false,"is_virtual":false,"virtual_url":null,"virtual_video_source":""}