Tuesday Seminar on Topology

Seminar information archive ~07/20Next seminarFuture seminars 07/21~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2019/02/12

17:00-18:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Anastasiia Tsvietkova (Okinawa Institute of Science and Technology, Rutgers University)
Representations of knot groups (ENGLISH)
[ Abstract ]
We describe a new method of producing equations for the representation variety of a knot group into (P)SL(2,C). Unlike known methods, this does not involve any polyhedral decomposition or triangulation of the link complement, and uses only a link diagram satisfying a few mild restrictions. This results in a simple algorithm that can often be performed by hand, and in many cases, for an infinite family of knots at once. This is a joint work with Kathleen Peterson (Florida State University).