##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## Mark Tiefenbruck

#### UCSD

## Turning almost-bijections into bijections

##### Abstract:

We will re-enact the story of proving a conjecture by Anders Claesson and Svante Linusson. Along the way, we are naturally led to a particular bijection between matchings and permutations; however, this bijection is somewhat flawed. We will discover a general technique to circumvent these flaws, leading to a new bijection that completes the proof. Time permitting, we will also use this technique to prove a recent conjecture by Miles Jones and Jeffrey Remmel. This talk should be accessible to graduate students of all areas of math.

### January 19, 2012

### 10:00 AM

### AP&M 7321

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