03.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Heat and resolvent expansions in the noncommutative case
Matthias Lesch (Bonn)
Viet Dang Nguyen (Lyon I)
I will present an overview of results obtained with Bin Zhang (Sichuan University). We will start by giving a simple example which shows the necessity to subtract infinities in quantum field theory. Then we introduce the notion of Feynman amplitudes and study their singularities using a zeta regularization with several parameters. Finally we will apply this method to perturbative renormalization of quantum field theories on Riemannian manifolds.