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

Posted in

- Talk [1]

Speaker:

Chris Rogers
Affiliation:

GĂ¶ttingen
Date:

Wed, 2012-05-23 10:00 - 11:30 Manifolds equipped with a closed non-degenerate form of degree > 2 can be thought of as higher analogs of symplectic manifolds. In this talk, I will describe some work in progress on developing a geometric quantization procedure for such manifolds. In particular, the 3-form case involves structures such as U(1)-gerbes, twisted vector bundles, and linear categories; just as ordinary geometric quantization uses U(1)-bundles, global sections of line bundles, and Hilbert spaces. Comparisons will be made with related subjects, such as Dirac geometry, and applications to representation theory will be discussed.

**Links:**

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

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

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