Title : Some geometric structures on principal Lie 2-group bundles over Lie groupoids.
Speaker: Praphulla Koushik
Affiliation: IISER Pune
Date and Time: June 24, 2022 at 03:30 PM
Venue: Seminar Hall, Kerala School of Mathematics

Abstract : In this talk we introduce the notion of principal Lie 2-group bundle over a Lie groupoid; as a generalisation of the notion of classical principal (Lie group) bundle over a smooth manifold. Motivated by the idea of Atiyah sequence for G-bundles over manifolds, we introduce the notion of Atiyah sequence for Lie 2-group bundle over Lie groupoids. We then see some notion of (strict) connection and semi-strict connections on such principal bundles. This is a joint work with Saikat Chatterjee and Adittya Chaudhuri