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.
Introduction to Leavitt path algebras
C*-algebras of graphs, k-graphs, self-similar groupoid actions on k-graphs and their equilibrium states.
An introduction to the Elliott classification program
The representation question and Steinberg algebras
Introduction to representation of quivers
Leavitt path algebras and Cayley graphs
Graded groupoids in algebra and geometry
Ideals of Leavitt path algebras
Maximal abelian subalgebras
The multiplicative ideal theory and factorization of ideals in Leavitt path algebras
Introduction to graph algebras, k-graph algebras and groupoid algebras
March 31, 2020.
Please note that the deadline for applying for CIMPA support is February 9, 2020.
The registration fee for the School is 100 Euro (120 USD) and must be paid by all non-funded participants. The fee will be due in time of registration at the first day of School.
It is 5000000 Rials for Iranians (3000000 Rials for the students). The bank receipt of payment is needed for registration.
Registration fee includes: Participation in all school sessions, documentation package, coffee breaks and lunches.