Skip to main content

Morita equivalences of vector bundles

Posted in
Matias del Hoyo
Universidade Federal Fluminense
Wed, 2018-05-02 10:30 - 12:00
MPIM Lecture Hall

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.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A