PIRSA:26050066

Video URL

https://pirsa.org/26050066

Higher Categories of Bordisms with Geometric Structures and the Classification of Extended Geometric Field Theories

Grady, D. (2026). Higher Categories of Bordisms with Geometric Structures and the Classification of Extended Geometric Field Theories. Perimeter Institute for Theoretical Physics. https://pirsa.org/26050066

Grady, Daniel. Higher Categories of Bordisms with Geometric Structures and the Classification of Extended Geometric Field Theories. Perimeter Institute for Theoretical Physics, May. 29, 2026, https://pirsa.org/26050066 

          @misc{ scivideos_PIRSA:26050066,
            doi = {10.48660/26050066},
            url = {https://pirsa.org/26050066},
            author = {Grady, Daniel},
            keywords = {Mathematical physics},
            language = {en},
            title = {Higher Categories of Bordisms with Geometric Structures and the Classification of Extended Geometric Field Theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050066 see, \url{https://scivideos.org/pirsa/26050066}}
          }

Daniel Grady Wichita State University

Talk numberPIRSA:26050066
DOI10.48660/26050066
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will survey joint work with Dmitri Pavlov on the construction and classification of extended geometric functorial field theories. After briefly reviewing some background and classical definitions, I will discuss the construction of the extended geometric bordism category and present the two main theorems. I will then sketch the proof of the first theorem, establishing locality for extended field theories, and, if time permits, conclude with some applications.