Wednesday, June 17, 20093:00 PM - 4:00 PMCNLS Conference Room (TA-3, Bldg 1690)|
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