Zeta Functions and Mass of Conformal Differential Operators

17.11.2016, 16:15 Uhr  –  Campus Golm, Haus 9, Raum 0.12
Forschungsseminar Differentialgeometrie

Matthias Ludewig

I will explain the relation between the Green’s function of a Laplace type operator and its zeta function. In particular, we will see that the constant term in the asymptotic expansion (which is often called the mass of the operator) is given by a zeta value. If the operator is conformally invariant, it is well-known that certain zeta values give rise to conformal invariants. In particular, we show that the mass is such an invariant in odd dimensions.