Seminar on Higher Categories


This is a student seminar on higher categories and their relationships to TQFTs. The ultimate goal of the class is to understand the Baez/Dolan cobordism hypothesis and specifically, Lurie's related work. The seminar will be held on Mondays 1:00-2:00 in Math 5127 (the seminar room).

Schedule

Date Topic Speaker
September 14, 2009
Introduction to Higher Categories I
Ben Balsam
September 21, 2009
Introduction to Higher Categories II
Andrew Stimpson
September 28, 2009
Cobordism Hypothesis
Sasha Kirillov
October 5, 2009
Infinity Categories
Sasha Kirillov
October 12, 2009
Infinity Categories II
Sasha Kirillov
October 19, 2009
Adjunctions and Dualizability in n-Categories
Aron Fischer

References

  • Lurie: On the Classification of Topological Field Theories
  • Baez/Lauda: A Prehistory of n-Categorical Physics
  • John Baez: An Introduction to n-Categories
  • Bruce Bartlett: Categorical Aspects of TQFTs
  • Tom Leinster: Basic Bicategories
  • Cheng/Lauda: Higher Categories: An Illustrated Guidbook
  • Baez:F04-S05 course on gauge theory and topology
  •