Geomerics is a company dedicated to computer graphics and other algorithms. They have recently unveiled their Enlighten engine which coordinates several of their software/middleware advances to provide enhanced lighting in games. The foremost of these is their real-time radiosity, which serves to compute lighting, shadows, radiosity and others at run-time and on existing hardware.
According to their site, they use studies in geometric algebra ( a kind of multi-linear algebra) to come up with new and efficient algorithms to process real-time lighting and even physics calculations.
Recently, Geomerics announced that the Enlighten engine will be used to incorporate into games that are developed for the XBOX 360.
Here is a movie demonstrating some elements of Enlighten and what scenes look like without it:
