PIRSA:16100049

On the mathematics of étale gerbes inspired by physics

Tseng, H. (2016). On the mathematics of étale gerbes inspired by physics. Perimeter Institute. https://pirsa.org/16100049

Tseng, Hsian-Hua. On the mathematics of étale gerbes inspired by physics. Perimeter Institute, Oct. 13, 2016, https://pirsa.org/16100049 

          @misc{ pirsa_PIRSA:16100049,
            doi = {10.48660/16100049},
            url = {https://pirsa.org/16100049},
            author = {Tseng, Hsian-Hua},
            keywords = {Mathematical physics},
            language = {en},
            title = {On the mathematics of {\'e}tale gerbes inspired by physics},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100049 see, \url{https://pirsa.org}}
          }

Hsian-Hua Tseng

Ohio State University

Talk number
PIRSA:16100049
Collection
Talk Type
Subject
Abstract

For a finite group G, a G-gerbe over a space B can be thought of as a fiber bundle over B with fibers the classifying orbifold BG. Hellerman-Henriques-Pantev-Sharpe studied conformal field theories on G-gerbes. Given a G-gerbe Y-> B, they constructed a disconnected space \widehat{Y} endowed with a locally constant U(1) 2-cocycle c. They conjectured that a CFT on Y is equivalent to a CFT on \widehat{Y} twisted by the "B-field" c. In this talk, I plan to explain the constructions in this conjecture and the mathematical side of the story, in particular the viewpoints from noncommutative geometry and Gromov-Witten theory. This is based on joint work with Xiang Tang.