Abstract: 
In this talk, I will review the study of mass-critical nonlinear Schrodinger equations, and then discuss our recent works on its stochastic analogue. Our aim is to understand the impact of randomness on long time behaviour of a dispersive system. We will start with local well-posedness, then go into global well-posedness, and finally on its long time behaviour. Based on joint works with Chenjie Fan (AMSS) and Zehua Zhao (BIT).

Profile: 
许惟钧是北京国际数学研究中心的助理教授。他于2013年获牛津大学博士学位，之后分别在英国的华威大学和牛津大学从事博士后研究，2020年加入北大。他的研究兴趣在分析与概率论的结合方向：包括随机分析、随机偏微分方程、以及背后的概率模型等。