Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium Hao Shen Columbia University Title: Singular stochastic PDEs and renormalization Abstract: Systems with random fluctuations are ubiquitous in the real world. Stochastic PDEs are default models for these random systems. However, a large class of such stochastic PDEs were poorly understood until very recently: the presence of very singular random forcing as well as nonlinearities render it challenging to interpret what one even means by a solution". The recent breakthroughs by M. Hairer, M. Gubinelli and other researchers including the speaker not only established solution theories for these singular SPDEs, but also led to an explosion of new questions. These include scaling limits of random microscopic models, development of numerical schemes, systematic renormalization techniques with Feynman diagrams, and a new approach to quantum field theory. In this talk we will discuss the main ideas of the recent solution theories of singular SPDEs with emphasis on renormalization, and how these SPDEs arise as limits of various important physical models.Recording: http://mm.math.cmu.edu/recordings/cna/hao_shen_small.mp4Date: Tuesday, April 17, 2018Time: 1:30 pmLocation: Wean Hall 7218Submitted by:  Ian Tice