Explore the cutting-edge research in stochastic processes and Yang-Mills theory through this 59-minute lecture by Martin Hairer from Imperial College London. Delivered as part of the ZhengTong Chern-Weil Symposium in Mathematics at the University of Chicago, the talk titled "Stochastic Quantisation of Yang-Mills" offers a gentle introduction to recent advancements in constructing a stochastic process for the hypothetical 3D Yang-Mills measure. Discover how the research preserves gauge-covariance in the limit despite UV regularisation breaking it. Gain insights into this collaborative work with Ajay Chandra, Ilya Chevyrev, and Hao Shen, designed to be accessible even without prior knowledge of the specific mathematical objects discussed.