Khansar School on Graph Algebras, Current Trends and Perspectives

The main theme of the proposed school are graph algebras, which are objects of growing interest that lie at the boundary between algebra and analysis among other mathematical fields. Despite being introduced only about a decade ago, Leavitt path algebras, as algebraic counterpart of graph C*-algebras, have arisen in a variety of different contexts as diverse as symbolic dynamics, noncommutative geometry, representation theory, and number theory. In particular, Leavitt path algebras can be seen as an algebraic avenue paving the road to understanding its more complex operator theory sibling, graph C*-algebras. Because of the central role these analytic objects play in both the genesis and the ongoing development of Leavitt path algebras, no history of the subject would be complete without a discussion on this topic and its close connexion to Leavitt path algebras.