In this talk I will give an overview of some recent results on singular SPDEs, especially on the dynamical $\Phi^4_d$ model. On the one hand, some results based on strong approach, i.e. regularity structure and paracontrolled distribution method are given. On the other hand, I will present some results based on weak approach,i.e. energy solutions and Dirichlet form approach. At last I will present some open problems in this field.

朱蓉禅，2012年博士毕业于中科院数学与系统科学院与德国比勒菲尔德大学，现任北京理工大学副教授。长期从事随机偏微分方程、狄氏型、随机分析的研究工作。2019年获批国家自然科学基金优秀青年基金项目。