Weakly globular n-fold categories

In this talk I introduce a new model of weak n-categories,
called weakly globular n-fold categories. This is based on the notion
of iterated internal category, satisfying additional conditions. It
develops a new paradigm to weaken higher categorical structures,
leading to potential applications. I will illustrate how this model
compares to another approach to weak higher categories due to
Tamsamani and Simpson.