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Seminar Details

The State of Fox's Trapezoidal Conjecture

  • Start Date: March 25, 2026
  • 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
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    In this talk, I will go over everything I know about the current progress on Fox's trapezoidal conjecture on alternating links. The conjecture states that the sequence of coefficients in the Alexander polynomial of an alternating knot forms a trapezoidal sequence. The conjecture has been proven for many families of alternating links, and some more recent investigations by Kálmán, Mészáros, and Postnikov suggest that matroids may play a role in its resolution.