View Proposal #381

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ID381
First NameRobert
Last NameTodd
InstitutionUniversity of Nebraska at Omaha
Speaker Categoryfaculty
Title of TalkKhovanov Homology: An undergraduate research project
AbstractKhovanov homology is a sophisticated construction in knot theory, a branch of mathematics which is foreign and mysterious to many undergraduates. However, with only some linear algebra, some computer skills, and a little maturity as prerequisites, Khovanov homology can be used as a context to introduce many important mathematical ideas. I will discuss an on-going undergraduate research project whose goal is to compute the Khovanov homology of some families of knots. Such computations have only been performed for a handful of examples, thus our results will be of interest to researchers in the field. There will be many pictures and examples.
Subject area(s)knot theory, undergraduate research
Suitable for undergraduates?Y
Day PreferenceEither
Computer Needed?Y
Bringing a laptop?Y
Overhead Needed?N
Software requests
Special Needs
Date Submitted09/12/2014
Year2014