內容介紹：This talk is basically an introduction to two related research topics. (i) Stochastic Optimal Control (SOT). SOT has wide applications in computational finance, game theory, ect. A related topic of SOT is the backward stochastic differential equations (BSEDs). We shall highlight Chinese researchers’ contributions to BSDEs. Recent progresses on numerical methods for BSDEs and SOT will also be discussed. (ii) Optimization Under Uncertainty (OUU). OUU is mainly motivated by uncertainty quantification, and its application area includes shape optimization, heat transfer in thermal conduction problems, etc. We shall introduce some basic framework of OUU and discuss some numerical challenges.