Events
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 |