PIRSA:17010064

From skein theory to presentations of Thompson groups

Ren, Y. (2017). From skein theory to presentations of Thompson groups. Perimeter Institute. https://pirsa.org/17010064

Ren, Yunxiang. From skein theory to presentations of Thompson groups. Perimeter Institute, Jan. 10, 2017, https://pirsa.org/17010064 

          @misc{ pirsa_PIRSA:17010064,
            doi = {10.48660/17010064},
            url = {https://pirsa.org/17010064},
            author = {Ren, Yunxiang},
            keywords = {Condensed Matter, Mathematical physics},
            language = {en},
            title = {From skein theory to presentations of Thompson groups},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jan},
            note = {PIRSA:17010064 see, \url{https://pirsa.org}}
          }

Yunxiang Ren

Vanderbilt University

Talk number
PIRSA:17010064
Collection
Talk Type
Subject
Abstract

Motivated by the question about reconstructing a Conformal field theory from the data of a subfactor of finite index, Jones studied the continuous limit of the periodic quantum spin chain which Thompson group acts on. Based on planar algebras, the topological axiomatization of subfactors, we will illustrate the idea of the correspondence between the skein theory of planar algebras and presentation of Thompson groups.