BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Factorization homology
Factorization homology
Organizers
Lin Zhe Huang , Zheng Wei Liu , Sebastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
David Ayala
Time
Friday, December 15, 2023 10:00 AM - 12:00 PM
Venue
Online
Online
Zoom 242 742 6089 (BIMSA)
Abstract
This talk will explain factorization homology, which is intended to abstract and organize the observables of a TQFT. Factorization homology is a construction that associates a chain complex to a (framed) n-manifold M and a (rigid) n-category C. One can rightfully think of C as the domain of a topological QFT, and C as an organization of point/line/surface/… observables of the QFT as they interact with one another. I will explain several pleasant features of factorization homology, and outline how these features alone can be used to work with factorization homology. I will identify a few values of factorization homology, which recover some familiar invariants of quantum topology (ie, the Jones polynomial and Skein modules). Much of this theory has yet to be fully developed. I will be clear about which aspects can be found in literature and which are more speculative. All of this work is joint with John Francis.