{"id":3383,"global_id":"colleges.claremont.edu\/ccms?id=3383","global_id_lineage":["colleges.claremont.edu\/ccms?id=3383"],"author":"73","status":"publish","date":"2024-02-12 14:26:57","date_utc":"2024-02-12 22:26:57","modified":"2024-04-24 15:52:03","modified_utc":"2024-04-24 22:52:03","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-seminar-matthew-gherman-cal-tech\/","rest_url":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/events\/3383","title":"Negligible cohomology (Matthew Gherman, Caltech)","description":"<div>\n<div dir=\"ltr\">\n<div>For a finite group G, a G-module M, and a field F, an element u in H^d(G,M) is negligible over F if for each field extension L\/F and every continuous group homomorphism from Gal(L^{sep}\/L) to G, u is in the kernel of the induced homomorphism H^d(G,M) to H^d(L,M). Negligible cohomology was first introduced by Serre and has deep connections with the embedding problem, cohomological invariants, and the profinite inverse Galois problem. Professor Alexander Merkurjev (UCLA) and I were able to compute negligible cohomology in degree 2, compute the mod p negligible cohomology of elementary abelian p-groups, and determine the Krull dimension of the quotient of mod p cohomology by the ideal of negligible elements.<\/div>\n<\/div>\n<\/div>","excerpt":"","slug":"antc-seminar-matthew-gherman-cal-tech","image":false,"all_day":false,"start_date":"2024-04-30 12:15:00","start_date_details":{"year":"2024","month":"04","day":"30","hour":"12","minutes":"15","seconds":"00"},"end_date":"2024-04-30 13:10:00","end_date_details":{"year":"2024","month":"04","day":"30","hour":"13","minutes":"10","seconds":"00"},"utc_start_date":"2024-04-30 19:15:00","utc_start_date_details":{"year":"2024","month":"04","day":"30","hour":"19","minutes":"15","seconds":"00"},"utc_end_date":"2024-04-30 20:10:00","utc_end_date_details":{"year":"2024","month":"04","day":"30","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":3332,"author":"73","status":"publish","date":"2023-12-14 21:05:45","date_utc":"2023-12-15 05:05:45","modified":"2023-12-14 21:05:45","modified_utc":"2023-12-15 05:05:45","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","venue":"Estella 2099","slug":"estella-2099","json_ld":{"@type":"Place","name":"Estella 2099","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","address":{"@type":"PostalAddress"},"telephone":"","sameAs":""},"show_map":true,"show_map_link":true,"global_id":"colleges.claremont.edu\/ccms?id=3332","global_id_lineage":["colleges.claremont.edu\/ccms?id=3332"]},"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":"Negligible cohomology (Matthew Gherman, Caltech)","description":"&lt;p&gt;For a finite group G, a G-module M, and a field F, an element u in H^d(G,M) is negligible over F if for each field extension L\/F and every continuous [&hellip;]&lt;\/p&gt;\\n","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-seminar-matthew-gherman-cal-tech\/","eventAttendanceMode":"https:\/\/schema.org\/OfflineEventAttendanceMode","eventStatus":"https:\/\/schema.org\/EventScheduled","startDate":"2024-04-30T12:15:00-07:00","endDate":"2024-04-30T13:10:00-07:00","location":{"@type":"Place","name":"Estella 2099","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","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":""}