Parallel session speaker.

Title:

Categorified Phase Space and Spinning Geometries

Short abstract:

Categorification is a procedure by which one coherently introduces a new layer of structure on top of existing structures. In various areas of physics, the central application of this is to “raise the dimension” of various models. Following this notion, we perform this categorification procedure to the symplectic structure and obtain a notion of a categorified, or “2-graded”, phase space. We show then that spinning geometries introduced by Freidel and Ziprick provide a natural example of such a categorified phase space.