Martin Hairer: Stochastic Quantisation of Non-Abelian Yang-Mills

Explore the intricacies of stochastic quantisation in non-Abelian Yang-Mills theory through this one-hour lecture by Martin Hairer, presented as part of the Hausdorff Junior Trimester Program on Randomness, PDEs, and Nonlinear Fluctuations. Delve into key concepts such as the basic object, canonical section, bundle theory, and connections. Examine natural symmetry, covariant derivatives, and energy squares. Investigate spaces of connections, loop construction, regularity, and perform a reality check. Gain insights into this complex topic from a renowned expert in the field of stochastic partial differential equations.