Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
"Leavitt path algebras: from graphs to rings"
If E is a directed graph, we can associate a ring L(E) called the Leavitt path algebra (orLpa). The algebraic structure of L(E) can be predicted from the graph structure of E: for example, L(E) is finite-dimensional if and only if E is acyclic. You can even write down the lattice of ideals of L(E) with little effort! Lpas provide a wonderful class of examples of algebras, which is very useful for testing conjectures. People refer to Lpas as ”rings you can see”. But can they see why kids love the taste of Cinnamon Toast Crunch? Come to the talk and find out!
M3-3103