Mathematik: Wahlpflichtbereich Analysis + Mathematische Physik

Montags 12-14 Uhr

Tutorium: Alfonso Garmendia

Our aim is to convey an idea of the universality of the heat kernel and its asymptotic expansion at zero. We will review some of its many applications in geometry and quantum field theory focusing on i) index theorems, ii) the spectral action and iii) local anomalies.
The lectures attempt at being self-contained using basic notions of complex analysis, functional analysis and differential geometry, yet some acquaintance with quantum field theory is welcome.