occasional meanderings in physics' brave new world

Name:
Location: New Zealand

Marni D. Sheppeard

## Wednesday, December 26, 2007

### M Theory Lesson 141

Hoffman's 1997 paper begins with this example of an MZV relation:

$\zeta (2) \zeta (2,1) = 2 \zeta (2,2,1) + \zeta (2,1,2) + \zeta (4,1) + \zeta (2,3)$

which M theorists can try to draw in a number of ways, such as the 2-ordinal picture This suggests that zeta relations are in some sense functorial, or categorified, and arise from relations amongst arguments. In the last post, for instance, the argument of the Riemann zeta function was given by a complex cosmic time coordinate, which is often substituted in M theory for a value of $\hbar$ or $N$th root on the unit circle.