##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## Dennis White

#### Department of Mathematics, University of Minnesota

## The cyclic Sieving phenomenon: A midwest tradition

##### Abstract:

In work in the mid-90's, John Stembridge noted that several combinatorial statistic generating functions carried enumerative information when the variable was set to $-1$. He dubbed this the "$q=-1$ phenomenon. In joint work with Vic Reiner and Dennis Stanton, we have noted that Stembridge's phenomenon generalizes to when $q$ is an appropriate root of unity. We called this the "cyclic sieving phenomenon." I will describe several instances of this phenomenon and some open problems.

Host: Jeff Remmel

### November 21, 2006

### 3:00 PM

### AP&M 7321

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