{"435351":{"#nid":"435351","#data":{"type":"event","title":"ISyE Seminar Series - Dan Bienstock","body":[{"value":"\u003Cp\u003ETITLE: Recent results on polynomial optimization problems\u003C\/p\u003E\u003Cp\u003EABSTRACT:\u003C\/p\u003E\u003Cp\u003EPolynomial optimization problems, as the name suggests, are optimization problem where the objective function as well as the constraints are described by polynomials. \u0026nbsp;Such problems have acquired increased interest to some degree because of applications in engineering and science, where constraints arise because of physics, and also because of increased theoretical understanding. \u0026nbsp;In this talk I will focus on two topics where I am working, the CDT (Celis Dennis Tapia) problem, which concerns the solution of a system of quadratic inequalities over R^n, and mixed-integer polynomial optimization problems over graphs with structural sparsity, i.e. low treewidth. \u0026nbsp;We will describe our results, but also we will discuss how these problems relate to classical problems in various branches of mathematics.\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003EBio:\u003C\/p\u003E\u003Cp\u003EDaniel Bienstock is a professor at the departments of Industrial Engineering and Operations Research, and Applied Physics and Applied Mathematics, Columbia University, where he has been since 1989. \u0026nbsp; He received the PhD from MIT in Operations Research. His research focuses on discrete and nonconvex optimization, from both a theoretical and a computational standpoint, and applications, such as the mathematics of power grids. \u0026nbsp;He was plenary speaker at the 2005 SIAM Conference on Optimization, semi-plenary speaker at the 2006 ISMP meeting, became an INFORMS fellow in 2013, and is editor-in-chief of Mathematical Programming C.\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"ISyE Seminar Series - Dan Bienstock"}],"uid":"27187","created_gmt":"2015-08-17 15:55:40","changed_gmt":"2017-04-13 21:18:48","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2015-11-18T14:00:00-05:00","event_time_end":"2015-11-18T15:00:00-05:00","event_time_end_last":"2015-11-18T15:00:00-05:00","gmt_time_start":"2015-11-18 19:00:00","gmt_time_end":"2015-11-18 20:00:00","gmt_time_end_last":"2015-11-18 20:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78751","name":"Undergraduate students"},{"id":"78761","name":"Faculty\/Staff"},{"id":"174045","name":"Graduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}