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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Messing around with filtrations

Presented by Andrew Lobb, Durham

15 December 2016 13:00 in CM221

Homological invariants in low-dimensional topology (like
Heegaard-Floer homology or Khovanov homology) often admit several
filtrations giving rise to numerical invariants that say something
directly about topology. If you take a couple of these filtrations and
blend them artfully, you can sometimes get much more information than
you expected. The first example of this is the so-called "upsilon"
invariant in Heegaard-Floer homology. Lukas Lewark and I came up a
while ago with an analogous invariant in quantum knot cohomologies, but
it's not yet written up. We decided to call it "gimel" but I can't
remember why. Anyways, I'll explain some of this story.

Contact mark.a.powell@durham.ac.uk or andrew.lobb@durham.ac.uk or wilhelm.klingenberg@durham.ac.uk for more information