Mathematical logic seminar - October 21, 2008

Time: 12:00 - 13:20

Room: Doherty Hall 4303

Speaker:     Peter Lumsdaine   
Department of Mathematical Sciences
Carnegie Mellon University

Title: Intensional type theory and higher category theory IV

Abstract:

Last week, we defined and played around with globular operads, which formalise the structure "a set of operation symbols for composing pasting diagrams in a globular set; and laws specifying how these operations compose".

This week, we'll finally define a weak omega-category (as an algebra for a particular globular operad) (definition from Leinster 2004), and construct the ``fundamental weak omega-category'' of a type in Martin- Löf intensional type theory.

Here are handwritten notes from last week's talk.