|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|
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.