The movie "Good will hunting" features some nice problems in graph theory and
for linear algebra. Here
is an exhibit from 2003 with handout[PDF]. A low resolution clip had been included in 2006 in the math in movie collection
here
and here.
After working a bit on Bowen-Lanford zeta functions
Mathtable talk [PDF]
the clip got mentioned also in the paper.
There are various reasons, why I like these problems. First of all, it features the Bowen-Lanford
Zeta function, named after Oscar Lanford III,
who was my PhD advisor. These Bowen-Lanford Zeta functions appeared naturally in the context of
connection calculus, which is part of Quantum calculus.
Indeed, and that only emerged on Block island
is that the Green function values, the diagonal entries of (L-z)^{-1}_{xx}
can be expressed then in terms of the Euler characteristic of the unit sphere in the graph. Very exciting.
Here is the clip showing the two problems: