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Seminar Details

The Hedgehog

  • Start Date: September 21, 2022
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Quentin Dubroff - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Given a coloring of the triples of some finite set by q colors, how large of a subset can one find where all triples receive the same color? The answer to this widely open question could possibly change drastically from q=2 to q=4. I'll discuss certain aspects of this hypergraph Ramsey theory problem and sketch a construction of a graph family whose Ramsey number provably depends significantly on the number of colors used. Time and interest permitting, I'll discuss one or two numerical curiosities that might underlie a conspiracy at the heart of Ramsey theory.