Factorization Homology
Student No.:50
Time:Wed 13:00-14:50/Fri 10:10-12:00, 2016-05-18~ 2016-06-17 (No class on June 10)
Instructor:John Francis  [Northwestern University]
Place:Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2016-5-18
Ending Date:2016-6-17





The cobordism hypothesis—after Baez–Dolan, Costello, Hopkins–Lurie, and Lurie—asserts that there is an equivalence TQFT(X) = obj(X), between the space of objects in a suitable higher category X and topological quantum field theories for framed n-manifolds valued in X. This course will give an exposition of parts of a proof of the cobordism hypothesis, joint with David Ayala, based on the new theory of factorization homology from higher categories. Topics may include: stratified spaces, n-disk algebras, (infinity, n)-categories, the Bruhat decomposition, Pontryagin–Thom theory and cobordism.