Gandalf (Pure Maths Student Seminar): On the Khovanov Homotopy Type
20 March 2014 16:00 in CM219
In 2000, Khovanov introduced a knot invariant in the form of a homology theory now known as Khovanov Homology. I will introduce this invariant and go on to talk about a new knot invariant which takes the form of a suspension spectrum, and so is invariant up to stable homotopy. The Khovanov Spectrum was introduced by Lipshitz and Sarkar in 2011 and has been shown to be a stronger invariant than Khovanov Homology. I aim to discuss some questions I have been looking at related to this spectrum.
Gandalf is the pure maths student seminar. Gandalf stands for the Geometry AND ALgebra Forum. It is run by and for pure postgraduates, but welcomes anyone who is interested in coming along.
Content from previous talks is available at the gandalf seminar home page.