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Seminar Details

Sperner's Lemma on Simplices, and some applications

  • Start Date: October 18, 2023
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Caleb Fong - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Sperner's Lemma tells us that any 'good' colouring of the vertices of a triangulated simplex admits a rainbow-coloured subsimplex. In this talk, we will understand what this theorem says, and see some subset of  {proof in dimension 2, continuous/colourful analogues, applications to cake-cutting and rent division}.