American Institute of Mathematics, Palo Alto, California
William Helton and Jiawang Nie
Falling into this setting are classical linear programming (LP), the more recent area of semidefinite programming (SDP), and the associated linear matrix inequalities (LMI),which have had a major impact on engineering systems, combinatorial optimization and other areas. One focus of the workshop is the study (arising from linear systems engineering) of polynomials in matrices whose form does not depend on the size of the matrices; this requires development of a noncommutative semialgebraic geometry.
Convex Algebraic Geometry involves a healthy combination of real algebraic geometry, functional analysis, operator theory, convex optimization and several areas of application. We expect a diverse group with common emerging interests.
The workshop schedule.
A report on the workshop activities.