Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Matias del Hoyo
Affiliation:

Universidade Federal Fluminense
Date:

Wed, 2018-05-02 10:30 - 12:00 VB-groupoids are vector bundles over Lie groupoids. They arise naturally, with the tangent and cotangent constructions as prominent examples, and admit a nice interpretation in terms of representations up to homotopy. In this talk, based on the work arXiv:1612.09289 joint with C. Ortiz, I will review these concepts and describe the behavior of vector bundles under Morita equivalences. I will explain how this leads to a convenient notion of 2-vector bundle over stacks, present some applications to Poisson geometry, and discuss further lines of research.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/3946