Chennai Mathematical Institute

Seminars




2.00-3.00, Seminar Hall
Skein theory for finite depth sub-factor planar algebra

Srikanth Tupurani
A former Ph.d student from Institute of Mathematical Sciences, Chennai.
07-01-14


Abstract

I will prove that every finite depth sub-factor planar algebra has a finite presentation(expressing the planar algebra by generators and relations). I will also prove a nice result about the generators of a sub-factor planar algebra of depth k(i.e. P is generated by a single t-box, where t = min{2k, s} and s is {k + 3, k + 4