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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.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Alfonso Tortorella (KU Leuven, Belgium)
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Institution: |
KU Leuven
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Place: |
Room 3.1
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| Research Groups: |
-Geometry
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See more:
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<Main>
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