Monoids, Dynamics and Leavitt algebras

Leavitt path algebras, which are algebras associated to
directed graphs, were first introduced about 20 years ago. They have
strong connections to such topics as symbolic dynamics, operator
algebras, non-commutative geometry, representation theory, and even chip
firing. In this talk we sneak a peek at these fascinating algebras and
their interplay with several seemingly disparate parts of mathematics.