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Explore recent advancements in constructing a stochastic process with the hypothetical Yang-Mills measure as its invariant measure in this 40-minute lecture by Martin Hairer. Delve into the intriguing aspect of the construction that maintains gauge-covariance in the limit, despite its disruption by UV regularization. Gain insights into this complex topic, which is based on collaborative research with Ajay Chandra, Ilya Chevyrev, and Hao Shen. This talk, presented at the Hausdorff Center for Mathematics, offers a deep dive into the intersection of stochastic processes, quantum field theory, and gauge theory.
