Introduction to planar algebras
Student No.:40
Time:Wed & Fri 09:50-11:25, Jun.22/27/29, Jul.6/11/13
Instructor:刘正伟 Liu Zhengwei  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-6-20
Ending Date:2018-7-13

I will give an introduction to planar algebras. I will talk about some interesting examples and classification results. The subtitles of the six lectures are:
1. Planar algebras
2. Graph planar algebras
3. Embedding theory
4. ADE classification
5. Bisch-Jones planar algebras
6. Bisch-Haagerup fish graphs


Linear algebras, topology.


[1] Planar algebras, I
VFR Jones - arXiv preprint math/9909027, 1999 -
[2] The planar algebra of a bipartite graph
VFR Jones - Knots in Hellas' 98, 2000 - World Scientific
[3] The embedding theorem for finite depth subfactor planar algebras
VFR Jones, D Penneys - arXiv preprint arXiv:1007.3173, 2010 -
[4] The classification of subfactors of index at most 5
V Jones, S Morrison, N Snyder - Bulletin of the American Mathematical Society, 2014 -
[5] Algebras associated to intermediate subfactors
D Bisch, V Jones - Inventiones mathematicae, 1997 - Springer
[6] Composed inclusions of A3 and A4 subfactors
Z Liu - Advances in Mathematics, 2015 - Elsevier