Algebra och geometri: Cyclic sieving on circular Dyck paths

  • Datum: –16.15
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Samu Potka (KTH)
  • Arrangör: Matematiska institutionen
  • Kontaktperson: Volodymyr Mazorchuk
  • Seminarium

Abstract: The cyclic sieving phenomenon was defined by Reiner, Stanton and White in 2004. The ingredients are a finite set X, a cyclic group C acting on X, and a polynomial f(q) with integer coefficients and satisfying f(1) = |X|. The triple (X, C, f(q)) is said to exhibit the cyclic sieving phenomenon if f(q) evaluated at certain roots of unity gives the number of elements of X fixed by powers of a generator of C. We will discuss this curious phenomenon and an example instance on circular Dyck paths (joint work with Per Alexandersson and Svante Linusson).