Algebraic Renormalisation of Regularity Structures

Explore a systematic approach to canonical renormalisation of singular stochastic PDEs in this 47-minute conference talk. Delve into the construction of regularity structures and their automorphism groups, focusing on implementing BPHZ renormalisation. Examine the role of bialgebras of decorated forests in cointeraction and discover how two twisted antipodes contribute to a variant of algebraic Birkhoff factorisation. Gain insights into the connections between this approach and perturbative quantum field theory.