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Seminar Details

Categorification in Knot Theory and Graph Theory

  • Start Date: April 23, 2025
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Timothy Bates - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html">https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Khovanov homology is a combinatorially defined invariant for links which categorifies the Jones polynomial. Khovanov’s method has inspired other efforts to categorify classical invariants; in particular the chromatic polynomial for graphs. I’ll talk about construction for Khovanov homology, what it’s good for in knot theory and a bit about the analogous cohomology theory categorifying the chromatic polynomial.