##### Department of Mathematics,

University of California San Diego

****************************

### Food For Thought Seminar

## Michelle Bodnar

#### UC San Diego

## From Classical to Rational Noncrossing Partitions

##### Abstract:

Combinatorics is rich with objects counted by the Catalan numbers. One such set of objects is the set of noncrossing partitions of the numbers 1 through n. There is a natural generalization in which one considers the set of noncrossing partitions of kn with block sizes each divisible by k. In this talk, we'll consider a rational generalization of noncrossing partitions and discuss current research in this subject.

Pieter Spaas

### March 6, 2017

### 11:00 AM

### AP&M 7321

****************************