Event
Linear generalised complex structures| Title of the event | Linear generalised complex structures |
| Series | Higher Structures Seminar |
| Organizer | Mathematisches Institut |
| Speaker | Malte Heuer |
| Speaker institution | University of Sheffield |
| Type of event | Vortrag |
| Category | Forschung |
| Registration required | Nein |
| Details | I will give a brief summary of some results of my PhD thesis. We will see how any linear generalised complex structure on a vector bundle E admits an adapted Dorfman connection and how this allows to describe the generalised complex structure purely in terms of a linear splitting and the side morphism on $TM\oplus E^*$. Then I will explain the compatibility with an additional Lie algebroid structure, recovering the conditions for morphisms of 2-term representations up to homotopy. The generalised complex Lie algebroid will then give rise to a complex Lie bialgebroid and I will show how its Drinfeld double can be decomposed as a matched sum of Courant algebroids in the special case of a complex structure. |
| Date | Start: 04.07.2019, 10:15 Uhr Ende: 04.07.2019 , 11:45 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer |
| Contact |
0551-3927752 annalena.wendehorst@mathematik.uni-goettingen.de |