#  Seminar, Yunxiang Ren (Vanderbilt University), A new skein theory for One-Way Yang-Baxter planar algebras, J250 

 



####  calendar\_today Date and Time 

 **February 2, 2018** 

 04:00PM - 04:00PM EST 

####  pin\_drop Location 

 **Jefferson 250**  



 

 



 

   ![ren](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/ren.jpg?itok=HETca3TD) 

 

 Title: A new skein theory for One-Way Yang-Baxter planar algebras

 Abstract: In this talk we will introduce One-Way Yang-Baxter subfactor planar algebras which is a continuation of the classification program of subfactor planar algebras via skein theory started by Bisch and Jones. We will focus on discussing the subgroup subfactor S3 × S2 ⊂ S5 which is naturally related to Petersen graph and the rank 3 permutation group. We showed that this planar algebra is generated by its 2-box space and provide a new skein theory for this planar algebra. Moreover, we will show that each member of the family of subfactors {Sn × S2 ⊂ Sn+2 : n ≥ 3} is also generated by its 2-box space and satisfies the similar type of skein theory in a uniform way.

 ![rensem](/sites/g/files/omnuum6611/files/mathpicture/files/ren_seminar_february_2_2018.jpg)

 



 

 



 

 

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