Classification of Minimal tau-tilting Infinite Algebras

Representation theory of algebras is an active area of research with numerous contributions to different areas of pure mathematics and theoretical physics. This is because it often represents very technical and complicated concepts in terms of concrete oriented graphs that are equipped with some additional data. In this area, as any other mathematical concept, the study of building blocks provide a deep understanding of the entire structure. Hence, the so-called indecomposable modules play a crucial role and it is a very efficient method to measure the complexity of an algebra by studying them. In this project we study the indecomposable modules and their interactions with each other. In particular, we employ some classical methodologies and develop them such that we can answer some fundamental questions in a new theory introduced in 2014. TO BE CONT’D

Faculty Supervisor:

Hugh Thomas

Student:

Partner:

Université Paris Saclay

Discipline:

Mathematics

Sector:

Other; Education; Information and Communications Technology

University:

Université du Québec à Montréal

Program: