With 'Me and My Maths' we are showing the sort of people who do maths round here, the sort of maths they do and what they get out of it.
In Episode 2 we meet Jason who is a geometer working in multiple dimensions, Wojciech (with Delta) who is a mathematicial logician and Ghita who looks at financial modelling. The films are one-minute each though as someone pointed out the whole length of the film is 3.14 minutes. Deliberate of course.
PS: 'Me and My Math' if you are outside the UK. Or 'My Maths and I' as a purist might prefer.
12:00
Bi-twistors, G_2*, and Split-Octonions
Note: we would recommend to join the meeting using the Zoom client for best user experience.
Abstract
Standard twistor theory involves a complex projective
3-space PT which naturally divides into two halves PT+
and PT–, joined by their common 5-real-dimensional
boundary PN. However, this splitting has two quite
different basic physical interpretations, namely
positive/negative helicity and positive/negative
frequency, which ought not to be confused in the
formalism, and the notion of “bi-twistors” is introduced
to resolve this issue. It is found that quantized bi-
twistors have a previously unnoticed G2* structure,
which enables the split-octonion algebra to be directly
formulated in terms of quantized bi-twistors, once the
appropriate complex structure is incorporated.