Robert P.
Langlands, Professor Emeritus, School of Mathematics. There are
several central mathematical problems, or complexes of problems,
that every mathematician who is eager to acquire some broad
competence in the subject...
Thurston gave an explicit construction of pseudo-Anosov
elements
in the mapping class group of a compact surface, using Dehn
twists in pairs of filling multicurves. We show that the
probability that a random walk of length n on the mapping
class...
For a topological dynamical systems (T, X) and a fixed $x \in X$
we are interested in the distribution of prime and semi-prime
orbits, i.e. ${T px}p='$ and ${T p1p2 x}p1,p2='$. We are interested
in systems for which the related sequences of...
In the 1980's, Atiyah introduced a mathematical definition of
the notion of a topological quantum field theory. In this talk,
I'll recall Atiyah's definition and explain the motivation for the
more elaborate notion of an extended topological field...
