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)
Malte Heuer (University of Hamburg)
Generalised complex structures were introduced by Nigel Hitchin and studied by Marco Gualtieri as a unification of complex and symplectic structures. In this talk I will first recall basic definitions in generalised geometry and then introduce linear generalised complex structures on vector bundles. We will see that these are a natural generalisation of holomorphic vector bundles and how they can be studied via adapted linear splittings and Dorfman connections. We show an equivalence between linear generalised complex structures on a vector bundle $E$ and certain complex Lie algebroid structures on $TM\oplus E^*$. The talk is based on joint work with Madeleine Jotz Lean.
If you wish to attend the talks, please contact Sylvie Paycha paycha@math.uni-potsdam.de for the login details.