Title of the course: Leavitt Path Algebras
Instructor: Assoc. Prof. Ayten KOÇ
Institution: GTU
Dates: 4-10 September 2023
Prerequisites: Linear Algebra, Basic Abstract Algebra (Ring, Field)
Level: Graduate, advanced undergraduate
Abstract: Leavitt path algebras (LPAs) were recently defined (2004), but it has developed into a very active area of research.
An LPA is associated to a di(rected )graph and there is a well-developed dictionary between the combinatorial properties of the digraph and the algebraic properties of the LPA. The first part of this one week course will be mostly establishing parts of this dictionary. Later we will mention more recent results about representations of LPAs, including some of those obtained during TUBITAK 1001 project 122F414.
Language: TR, EN