Trevor Clark (Imperial): Renormalization of smooth maps of the interval

Sufficiently high renormalizations of infinitely renormalizable smooth mappings of the interval have extensions to quasiregular, polynomial-like maps with small dilatation. Complex bounds for these maps give us a new way to study the dynamics of smooth mappings on the interval. I will talk about some progress in understanding the dynamics of these quasiregular maps. This is joint work with Sebastian van Strien and Edson de Faria.