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Seminar Details

Skeletons and Shadows (of polytopes)

  • Start Date: October 26, 2022
  • 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:

    Steinitz's theorem gives a neat characterisation for the graphs (1-skeleta) of 3-dimensional convex polytopes. In this talk, I will sketch one direction of the proof (using shadows), and give a rough idea for how the other direction goes. I will also mention the higher-dimensional Steinitz problem, and if time permits -- some connections with the Art Gallery Problem and complexity theory.