Wed, March 30, 2022
Public Access Category: All |
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- Time:
- 11:30am
- Description:
- Title : Some Structures on Principal Lie 2-group Bundles over Lie Groupoid
Time: 11:30- 12:30
Venue: Ramanujan Hall
Abstract : There are several equivalent ways to define the notion of
connection on a principal Lie group bundle over a manifold. One such
definition involves the splitting of the so called Atiyah sequence. For a
principal bundle E over M, the Atiyah sequence is a short exact sequence
of vector bundles over the manifold M. Motivated by this idea, we define
the notion of a Atiyah sequence for a principal Lie 2-group bundle over a
Lie groupoid. Using that, we define some geometric structures on principal
Lie 2-group bundles over Lie groupoid.
This talk is based on recently accepted joint work with Saikat Chatterjee
and Aditya Chaudhuri. https://doi.org/10.1016/j.geomphys.2022.104509
First 40 minutes of the talk is expected to be accessible to M.Sc students.