## Events

Oct 20

### Mathematics and Statistics Colloquium

Alissa Crans from Layola Marymount University will be giving a talk on Unital Shelves.

Thursday, October 20th, 2016

4:00 – 5:00 pm / CMC 206

Title: Unital Shelves

Abstract: A "shelf" is a set equipped with a single binary operation whose single axiom of self-distributivity,

(x*y)*z = (x*z) *(y*z)

algebraically encodes the third Reidemeister move from classical knot theory. A "unital shelf" has the additional structure of an element "1" that satisfies x*1 = x and 1*x = x. Surprisingly, it turns out that the shelf operation for unital shelves is associative! We will explore properties of unital shelves in this preliminary work with Mukherjee and Przytycki.

Sponsored by Mathematics and Statistics. Contact: Sue Jandro