**UM Math Graduate Student Seminar**

Kyle Celano*University of Miami***will present**

**Examples of the Cyclic Sieving Phenomenon**

Friday, November 30th, 2018, 5:00pm

Ungar Building Room 402**Abstract:**

The Cyclic Sieving Phenomenon (CSP) occurs when the generating function of

a finite set counts cyclic symmetry classes of the set when evaluated at

roots of unity. Since Reinner, Stanton, White first introduced CSP in

2004, a surprising number of occurrences of CSP have been found. While

many CSPs can be proved combinatorially, in this talk we shall discuss how

representation theory is perhaps a more natural setting.