210604C Theocharis Papantonis

June 4, 2021

Title: On representations up to homotopy of Lie n-algebroids and higher VB-algebroid structures

Speaker: Theocharis Papantonis (Junior talk, 5:30pm)

In this talk, we will discuss the representation theory of higher Lie algebroids and higher VB-algebroid structures on double vector bundles. We will give the basic definitions about representations (up to homotopy) of Lie n-algebroids and construct some basic examples, such as the adjoint and coadjoint representations. Next, we will define the notion of a VB-Lie n-algebroid and explain how they correspond to (n+1)-representations of their side Lie n-algebroid, generalizing thus a well-known result from representation theory of ordinary Lie algebroids.

The talk is based on a joint work with Madeleine Jotz Lean and Rajan Mehta.

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