Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, May 15, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Malte Milatz (RWTH Aachen)

Methods for Khovanov homology

Given two knots or links, how may one decide whether they are equivalent? This is a fundamental question in knot theory, known to be decidable, and it reduces to a purely combinatorial question by Reidemeister's theorem.

The general decidability procedure, however, is so complex and unpromising that knot theorists prefer to work on link invariants. Here we have a look at one such invariant, Khovanov homology, which is an example of how to use algebra (homology) for a combinatorial problem.

Computing Khovanov homology of a given link cannot be done efficiently in general. We will discuss methods for its (full or partial) computation in favourable cases, using spectral sequences as a tool.

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