Tuesday Seminar on Topology
Seminar information archive ~10/09|Next seminar|Future seminars 10/10~
Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
---|---|
Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2014/11/25
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Masahico Saito (University of South Florida)
Quandle knot invariants and applications (JAPANESE)
Masahico Saito (University of South Florida)
Quandle knot invariants and applications (JAPANESE)
[ Abstract ]
A quandles is an algebraic structure closely related to knots. Homology theories of
quandles have been defined, and their cocycles are used to construct invariants for
classical knots, spatial graphs and knotted surfaces. In this talk, an overview is given
for quandle cocycle invariants and their applications to geometric properties of knots.
The current status of computations, recent developments and open problems will also
be discussed.
A quandles is an algebraic structure closely related to knots. Homology theories of
quandles have been defined, and their cocycles are used to construct invariants for
classical knots, spatial graphs and knotted surfaces. In this talk, an overview is given
for quandle cocycle invariants and their applications to geometric properties of knots.
The current status of computations, recent developments and open problems will also
be discussed.