Gr\"{o}bner basis for the conjugacy problem of braid groups

Date:

Time:

2021 07 21

07:30 (GMT+0)

Speaker:

Xing Chen(Hunan Normal University)

Moscow-Beijing Topology Seminar

In 2007 Bokut gave a Gr\"{o}bner-Shirshov basis $S$ of the braid group $B_{n+1}$ in the Artin-Garside generators and proved that $S$-irreducible words of the $B_{n+1}$ coincided with the Garside normal form words in the paper [Bokut L.A., Gr\"{o}bner-Shirshov basis for the braid group in the Artin-Garside generators, Journal of Symbolic Computation 43 (2008) 397-405]. Using the given basis, we get a Gr\"{o}bner basis of the conjugacy classes of $B_3$, which is corresponding to a new algorithm for the conjugacy problem of this braid group.

Meeting ID: 831 5020 0580
Password: 141592
Zoom link: https://zoom.com.cn/j/83150200580?pwd=Z3VaRzhreko1TUhnWnJXQ05mRHNrQT09

Time line

Chicago -8h

Moscow +0h

Beijing +5h

Seoul +6h

Tokyo +6h