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

DOI 10.48660/17010064
Collection
Talk Type Scientific Series
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.