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Seminar Details

How Many Ways Can a Permutation in S_n be Written as a Product of k Transpositions?

  • Start Date: February 26, 2020
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Nathan Mehlhop - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    To answer the question in the title, we will develop a systematic method for calculating these numbers using the adjacency matrices of certain directed graphs whose vertices are the conjugacy classes of S_n. I will mumble without proof some connections to the representation theory of S_n and to symmetric functions, and then prove a few identities using facts about Ferrers diagrams.