Lab Home | Phone | Search
	Center for Nonlinear Studies
	Home  ▶ People   Current   Executive Committee   Postdocs   Visitors   Students   Research   Publications  ▶ Conferences   Workshops   Sponsorship  ▶ Talks   Seminars   Postdoc Seminars Archive   Quantum Lunch   Quantum Lunch Archive   P/T Colloquia   Archive   Ulam Scholar     Postdoc Nominations  ▶ Student Requests   Student Program  ▶ Visitor Requests   Description   Past Visitors  ▶ Services   General     History of CNLS     Maps, Directions   CNLS Office   T-Division   LANL				Wednesday, June 17, 20093:00 PM - 4:00 PMCNLS Conference Room (TA-3, Bldg 1690) Seminar Recent Advances in Polynomial Optimization Mihai PutinarUniversity of California at Santa Barbara A brief history of Hilbert's 17-th problem and its impact on Real Algebraic Geometry will be given. A powerful correspondence between the spectral theorem for normal operators, the structure of positive polynomials on semi-algebraic sets and moment problems will lead to a new perspective on non-linear polynomial optimization problems. Recent developments in this field, as well as ramifications of the main results into the free *-algebra setting or to optimization of measurable functions will be outlined. Some applications to optimal control theory will be sketched. Host: Razvan Teodorescu