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Seminar Details

Compactness in Combinatorics

  • Start Date: February 15, 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
  • 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:

    When a finite statement in discrete maths is being extended to its infinite analogue, a useful method for brushing details under the rug is to say that we "use a standard compactness argument". In this talk, I will try to outline the basic structure of these arguments using many examples, give some idea for the underlying machinery (the Compactness Theorem from first-order logic), and if time permits � give some settings in which these proofs don't work.