Geometry and Topology of Large Random Spaces and Groups

Wednesday, March 5, 2014 - 11:30am - 12:20pm
Keller 3-180
Michael Farber (University of Warwick)
I will discuss several probabilistic models producing simplicial complexes, manifolds and discrete
groups. Random simplicial complexes are high dimensional analogues of random graphs and can be
used for studying the behaviour of large systems or networks depending on many random
parameters. We are interested in properties of random spaces which are satisfies with probability
tending to one. Using probabilistic models one may also test probabilistically the validity of open
topological questions such as the Whitehead and the Eilenberg – Ganea conjectures.
MSC Code: