Arturas Acus (Vilnius University)
Thursday 24 January
11:00 - 12:00
After a short and slightly provocative “computational” introduction to
Clifford algebras, two problems will be discussed in the seminar. In the first,
we shortly present how two-level model in physics can be reformulated and solved
in a purely geometric way by Clifford algebra. In the second, a detailed introduction
into problem of inverse of multivector when n=p+q<7 will be presented. It is hard to
believe that after seminal work published 130 years ago (in 1878) by Clifford, one
of the fundamental problems — the inverse of a general multivector — still has no answer.
Finally, if time will allow, an example on how the noncommutative multivector
Clifford-Sylvester equation (AX+BX=C, p+q <= 3) can be solved by inverse multivector
algorithm will be demonstrated.