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Seminar Details

An Algebraic Proof of Sperner's Theorem

  • Start Date: September 12, 2018
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Weihong Xu - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    My main goal in this talk is to present an interesting algebraic proof of Sperner's theorem on the size of anti-chains. This proof can also be understood using the representation theory of sl2. I learned this proof from June Huh. This talk should be accessible to people with minimal combinatorics background (I will start with basic definitions) and people without any knowledge of Lie algebras.