##### Department of Mathematics,

University of California San Diego

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### Math 196 - Student Colloquium

## Helena Chen, Patrick Dejesus, Chenzhi Li, Fengpei Li, Wenjing Yin

#### UCSD, CURE 2014

## Exploring the Cyclic Sieving Phenomenon

##### Abstract:

We will continue our talk about the Cyclic Sieving Phenomenon involving the relationship between q-rational catalan number and the set of non crossing partitions. By utilizing the injective mapping between rational deck paths and non-crossing partitions, we have constructed small cases of how to observe that the set $(NC(a,b),Z_{b-1},Cat_q(a,b))$ exhibits the Cyclic Sieving Phenomenon. We will also demonstrate a few of our MATLAB programs that helped aid us in the progress of trying to prove the Cyclic Sieving Phenomenon.

Host: Alvaro Pelayo

### December 2, 2014

### 11:00 AM

### AP&M B402A

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