TITLE: Applications of symplectic geometry in industry
QUESTION [5 upvotes]: I am wondering if symplectic geometry is being used anywhere outside of academia? Are there any current applications of symplectic geometry in industry?

REPLY [3 votes]: Symplectic integrators are frequently used in numerical simulation of physical systems, since they preserve symmetries of the original system, and tend to have good energy conservation also. I can't say for sure that they are used in industry, but I know at least one person who did her Ph.D. on symplectic integrators in computer graphics, and then went to work for a big special effects firm (and turned down a job at Pixar).