06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Onirban Islam
For differential operators preserved by the action of a Lie group G, the notion of index generalises to the G-index. A prototype of this situation arises for spin-Dirac operators on a compact Riemannian manifold which admits a non-trivial isometry group. This yields an equivariant index theorem known as the Atiyah-Segal-Singer index theorem. In this talk, I shall first introduce the notion of the G-index and then sketch a proof of the Atiyah-Segal-Singer index theorem by the heat kernel method due to Berline and Vergne.