{"605834":{"#nid":"605834","#data":{"type":"event","title":"Summer School on Hyperbolic Polynomials, Sums of Squares, and Optimization","body":[{"value":"\u003Cp\u003EThe summer school is aimed at graduate students and recent Ph.D.\u0026#39;s. The\u0026nbsp;goal is to introduce early-career researchers to the latest developments in the theory of hyperbolic polynomials, sums of squares and their applications in combinatorics and optimization. School of Mathematics Professor Greg Blekherman is the organizer.\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EHyperbolic and stable polynomials have seen several spectacular applications in combinatorics and optimization in recent years.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EA hyperbolic polynomial in one variable is just a real polynomial with only real roots, while a hyperbolic polynomial in several variables can be seen as a familiy of such real-rooted polynomials in one variable. They appear in several different areas, and a beautiful geometric theory with many surprising features has evolved around their study.\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003ENonnegative polynomials and sums of squares are classical subjects of real algebraic geometry, dating back to Hilbert\u0026#39;s 17th problem. There are also rich connections to real analysis via duality and moment problems, as well as to polynomial and combinatorial optimization.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ETopics\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cul\u003E\r\n\t\u003Cli\u003EGeometry of Hyperbolic Polynomials and Sums of Squares\u003C\/li\u003E\r\n\t\u003Cli\u003EConic and Hyperbolic Programming\u003C\/li\u003E\r\n\t\u003Cli\u003EInterlacing Polynomials\u003C\/li\u003E\r\n\t\u003Cli\u003EStable Polynomials in Combinatorics\u003C\/li\u003E\r\n\t\u003Cli\u003ESums of Squares in Combinatorics and Optimization\u003C\/li\u003E\r\n\u003C\/ul\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ELecturers\u0026nbsp;\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cul\u003E\r\n\t\u003Cli\u003EDaniel Plaumann (TU Dortmund)\u003C\/li\u003E\r\n\t\u003Cli\u003ERainer Sinn (FU Berlin)\u0026nbsp;\u003C\/li\u003E\r\n\t\u003Cli\u003ECynthia Vinzant (NC State)\u0026nbsp;\u003C\/li\u003E\r\n\t\u003Cli\u003EGreg Blekherman (Georgia Tech)\u003C\/li\u003E\r\n\u003C\/ul\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EFunding:\u003C\/strong\u003E\u0026nbsp;We have NSF funding for participants. Please visit\u0026nbsp;\u003Ca href=\u0022https:\/\/sites.google.com\/site\/hyperbolicSOS2018\/applications\u0022 rel=\u0022nofollow\u0022\u003EApplications\u003C\/a\u003E\u0026nbsp;to apply.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EWebsite:\u003C\/strong\u003E\u0026nbsp;Check the \u003Ca href=\u0022https:\/\/sites.google.com\/site\/hyperbolicsos2018\/\u0022\u003Ewebsite\u003C\/a\u003E\u0026nbsp;for updated information.\u0026nbsp;\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EGeorgia Tech School of Mathematics Professor Greg Blekherman has organized a week-long summer school for early-career researchers in the field.\u0026nbsp;\u0026nbsp;\u0026nbsp;\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":[{"value":"Summer school on latest developments in the theory of hyperbolic polynomials, sums of squares, and their applications in combinatorics and optimization."}],"uid":"34518","created_gmt":"2018-05-04 13:52:35","changed_gmt":"2018-06-27 20:54:40","author":"sbarone7","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2018-06-28T01:00:00-04:00","event_time_end":"2018-06-29T01:00:00-04:00","event_time_end_last":"2018-06-29T01:00:00-04:00","gmt_time_start":"2018-06-28 05:00:00","gmt_time_end":"2018-06-29 05:00:00","gmt_time_end_last":"2018-06-29 05:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"hg_media":{"605832":{"id":"605832","type":"image","title":"SpecPic","body":null,"created":"1525441600","gmt_created":"2018-05-04 13:46:40","changed":"1525441600","gmt_changed":"2018-05-04 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Sciences"}],"categories":[],"keywords":[{"id":"173647","name":"_for_math_site_"},{"id":"4896","name":"College of Sciences"},{"id":"171425","name":"Summer SChool"},{"id":"168854","name":"School of Mathematics"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1789","name":"Conference\/Symposium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"},{"id":"174045","name":"Graduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Ca href=\u0022mailto:greg@math.gatech.edu\u0022\u003EGreg Blekherman\u003C\/a\u003E\u003C\/p\u003E\r\n","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}