URegina Topology Seminar: Manak Singh

  • Date: 04/04/2023
  • Time: 13:00
Manak Singh

University of Regina


The Cobordism Hypothesis


The Cobordism Hypothesis, as proposed by Baez and Dolan in 1995, provides a classification of n-extended Topological Quantum Field Theories (TQFTs). A n-extended TQFT is a symmetric monoidal n-functor from the n-category of cobordisms to an arbitrary symmetric monoidal n-category C. The hypothesis asserts that n-extended TQFTs correspond to fully dualizable objects in C. In 2008, Lurie outlined a proof for a more general statement, which implies the Baez & Dolan version as a consequence.


In Martin's talk we encountered the motivation for defining 2-extended TQFTs. I extend on this and show why it is natural to contemplate n-extended TQFTs. I discuss Lurie's (∞,n)-categorical version of the hypothesis and talk about what it means for an object to be fully dualizable in an (∞,n)-category.

Other Information: 

Location: CL 251 

Time: 1pm Central