Cayley graphs in surprising places

04/16/2013 - 12:15pm
04/16/2013 - 1:10pm
Speaker: 
Rena Levitt (Pomona College)
Abstract: 

Cayley graph is a powerful tool that encodes the structure of a finitely generated group. In fact, the word problem for a finitely generated group G is solvable if and only if there exists an algorithm to construct any finite portion of the Cayley graph of G. This suggests the following questions. Can the notion of a Cayley graph be extended to other algebraic objects? If so, what does this imply for the word problem in these objects? In this talk I will review some of the algebraic objects where this approach has been fruitful, focusing on involutory quandles, or kei. This is joint work with Pomona senior Ben Fish.

Where: 
Millikan 208 (Pomona College)