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Infinitesimal automorphisms of VB groupoids and algebroids
Description:  VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids and Lie algebroids respectively, and they are related via the Lie functor. VB-groupoids and algebroids play a prominent role in Poisson and related geometries. In this talk, based on joint work with Chiara Esposito and Luca Vitagliano, I will describe their infinitesimal automorphisms, i.e. vector fields on them generating a flow of diffeomorphisms preserving both the linear and the groupoid/algebroid structures. For a special class of VB-groupoids/algebroids coming from representations of plain Lie groupoids/algebroids, I will show that infinitesimal automorphisms are the same as multiplicative sections of a certain derivation groupoid/algebroid.
Date:  2018-06-27
Start Time:   14:30
Speaker:  Alfonso Tortorella (KU Leuven, Belgium)
Institution:  KU Leuven
Place:  Room 3.1
Research Groups: -Geometry
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