{"652749":{"#nid":"652749","#data":{"type":"news","title":"ICERM Semester on Braids Planned for 2022, Organized by Prof. John Etnyre","body":[{"value":"\u003Cp\u003EAn ICERM semester-long program is being organized by Prof. John Etnyre and others, which will focus on braid groups, mapping class groups, and their generalizations.\u003C\/p\u003E\r\n\r\n\u003Ch3\u003EAbstract\u003C\/h3\u003E\r\n\r\n\u003Cp\u003EBraid groups were introduced by Emil Artin almost a century ago. Since then, braid groups, mapping class groups, and their generalizations have come to occupy a significant place in parts of both pure and applied mathematics. In the last 15 years, fields with an interest in braids have independently undergone rapid development; these fields include representation theory, low-dimensional topology, complex and symplectic geometry, and geometric group theory. Braid and mapping class groups are prominent players in current mathematics not only because these groups are rich objects of study in their own right, but also because they provide organizing structures for a variety of different areas. For example, in modern representation theory, important equivalences of categories are organized into 2-representations of braid groups, and these same 2-representations appear prominently in parts of geometry and mathematical physics concerned with mirror dualities; in low-dimensional topology, manifolds are presented and related to each other via braids and mapping classes.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EComputational applications and questions about braid groups have also emerged in disparate mathematical contexts; in some cases, these coalesce around the same computational problem. For example, developing fast machine-based calculations of link homology invariants is a goal shared by representation theorists, low-dimensional topologists, symplectic and algebraic geometers, and string theorists. The proposed semester program aims to bring together researchers working in diverse areas through the common thread of their interaction with braid and mapping class groups. The overarching goals of the program are to establish and clarify the key questions driving each field, and to improve each group\u0026rsquo;s understanding of the tools, techniques, and perspectives of the others.\u003C\/p\u003E\r\n\r\n\u003Ch3\u003EOrganizing Committee\u003C\/h3\u003E\r\n\r\n\u003Cul\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/www.math.uic.edu\/~culler\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EMarc Culler\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EUniversity of Illinois at Chicago\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/pages.uoregon.edu\/belias\/\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EBen Elias\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EUniversity of Oregon\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/people.math.gatech.edu\/~etnyre\/\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EJohn Etnyre\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EGeorgia Institute of Technology\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/www.math.uchicago.edu\/~farb\/\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EBenson Farb\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EUniversity of Chicago\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022https:\/\/personal.us.es\/meneses\/\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EJuan Gonz\u0026aacute;lez-Meneses\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EUniversidad de Sevilla\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/www.math.msu.edu\/~mhedden\/Home.html\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EMatthew Hedden\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EMichigan State University\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003EKeiko Kawamuro\u003Cbr \/\u003E\r\n\t\u003Cem\u003EUniversity of Iowa\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022http:\/\/maths-people.anu.edu.au\/~licatat\/Anthony_Licata_homepage\/Home.html\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EAnthony Licata\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EAustralian National University\u003C\/em\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Ca href=\u0022https:\/\/sites.google.com\/view\/joanlicata\/home\u0022 rel=\u0022noopener\u0022 target=\u0022_blank\u0022\u003EJoan Licata\u003C\/a\u003E\u003Cbr \/\u003E\r\n\t\u003Cem\u003EAustralian National University\u003C\/em\u003E\u003C\/li\u003E\r\n\u003C\/ul\u003E\r\n\r\n\u003Ch3\u003EConfirmed Speakers \u0026amp; Participants\u003C\/h3\u003E\r\n\r\n\u003Cp\u003ESee the ICERM website\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Ca href=\u0022https:\/\/icerm.brown.edu\/programs\/sp-s22\/\u0022\u003Ehttps:\/\/icerm.brown.edu\/programs\/sp-s22\/\u003C\/a\u003E\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EAn ICERM semester-long program is being organized by Prof. John Etnyre and others, which will focus on braid groups, mapping class groups, and their generalizations.\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":[{"value":"An ICERM semester-long program is being organized by Prof. John Etnyre and others, which will focus on braid groups, mapping class groups, and their generalizations."}],"uid":"34518","created_gmt":"2021-11-12 15:46:20","changed_gmt":"2021-11-12 15:46:20","author":"sbarone7","boilerplate_text":"","field_publication":"","field_article_url":"","dateline":{"date":"2021-11-12T00:00:00-05:00","iso_date":"2021-11-12T00:00:00-05:00","tz":"America\/New_York"},"extras":[],"hg_media":{"652748":{"id":"652748","type":"image","title":"ICERM_image","body":null,"created":"1636731768","gmt_created":"2021-11-12 15:42:48","changed":"1636731768","gmt_changed":"2021-11-12 15:42:48","alt":"","file":{"fid":"247644","name":"ICERM_image.jpg","image_path":"\/sites\/default\/files\/images\/ICERM_image.jpg","image_full_path":"http:\/\/www.tlwarc.hg.gatech.edu\/\/sites\/default\/files\/images\/ICERM_image.jpg","mime":"image\/jpeg","size":389900,"path_740":"http:\/\/www.tlwarc.hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/images\/ICERM_image.jpg?itok=hXvI-mh_"}},"652747":{"id":"652747","type":"image","title":"ICERM_logo","body":null,"created":"1636731554","gmt_created":"2021-11-12 15:39:14","changed":"1636731554","gmt_changed":"2021-11-12 15:39:14","alt":"","file":{"fid":"247643","name":"icerm-logo.png","image_path":"\/sites\/default\/files\/images\/icerm-logo.png","image_full_path":"http:\/\/www.tlwarc.hg.gatech.edu\/\/sites\/default\/files\/images\/icerm-logo.png","mime":"image\/png","size":4405,"path_740":"http:\/\/www.tlwarc.hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/images\/icerm-logo.png?itok=DdgSso2F"}}},"media_ids":["652748","652747"],"related_links":[{"url":"https:\/\/icerm.brown.edu\/programs\/sp-s22\/","title":"ICERM Semester on Braids"}],"groups":[{"id":"1279","name":"School of Mathematics"}],"categories":[],"keywords":[{"id":"173647","name":"_for_math_site_"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Ca href=\u0022mailto:comm@math.gatech.edu\u0022\u003ESal Barone\u003C\/a\u003E\u003C\/p\u003E\r\n","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}