Algebra Seminar: Wijesena -- Moduli spaces for Leavitt path algebras

Dilshan Wijesena (UNSW) will be speaking in the algebra seminar.  We will go out for
lunch after the talk---all are welcome to join! 

When: 12-1pm Friday April 4 

Where: Carslaw 175 

Title: Moduli spaces for Leavitt path algebras 

Abstract: In this talk I will explain how the machinery of Vaughan Jones, originally
developed for subfactor and conformal field theories, have been adapted to study
representations of the LPAs.  In particular, I will show how from a quiver
representation one can obtain a representation of the LPA.  Remarkably, this process
preserves irreducible classes and yields an equivalence between certain subcategories.
This will allow us to obtain moduli spaces for LPAs.  We end by showing how many known
irreducible representations of LPAs arise from finite-dimensional quiver representations
using our techniques.  Minimal knowledge is required and all are welcomed! This is a
joint work with Arnaud Brothier.