06.05.2024 15:00 Martin Peev:
Renormalising Noncommutative SPDEsMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)

When attempting to construct QFTs that include Fermions using the methods of Stochastic Quantisation, one is naturally forced to consider noncommutative stochastic PDEs. I shall give an introduction to noncommutative probability and show how to formulate SPDEs driven by noncommutative noises. Furthermore, I will describe how one can renormalise the singular products appearing in such equations using a noncommutative generalisation of Regularity Structures with a particular focus on Fermionic equations. This talk will be based on joint work with Ajay Chandra and Martin Hairer.