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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