Algebra Seminar talk
2007-11-30
Manfred Droste
Random constructions imply symmetry
Abstract:
We will argue for the claim of the title in the areas of
algebra, theoretical computer science, and theoretical physics.
In algebra, we will consider the random graph. For theoretical
computer science, we will give a probabilistic construction of
locally finite and of Scott domains and show that with probability 1
our construction produces a universal homogeneous domain.
Finally, we consider causal sets which have been used as basic
models for discrete space-time in quantum gravity.