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Linear generalised complex structures

Titel der Veranstaltung Linear generalised complex structures
Reihe Higher Structures Seminar
Veranstalter Mathematisches Institut
Referent/in Malte Heuer
Einrichtung Referent/in University of Sheffield
Veranstaltungsart Vortrag
Kategorie Forschung
Anmeldung erforderlich Nein
Beschreibung 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.
Zeit Beginn: 04.07.2019, 10:15 Uhr
Ende: 04.07.2019 , 11:45 Uhr
Ort Mathematisches Institut (Bunsenstr 3-5)
Kontakt 0551-3927752