天元讲堂(3.21):CONVEXITY IN SEMIALGEBRAIC GEOMETRY AND POLYNOMIAL OPTIMIZATION
报告人: 矫立国博士
报告时间:2019年3月21日(周四) 上午 09:00-11:30
报告地点:精正楼二楼学术报告厅
Abstract. We review several (and provide new) results on the theory of moments, sums of
squares, and basic semialgebraic sets when convexity is present. In particular, we show that, under
convexity, the hierarchy of semidefinite relaxations for polynomial optimization simplifies and has
finite convergence, a highly desirable feature as convex problems are in principle easier to solve.