In the last twenty years we have been witness to the fruitf ul \;interplay between representation theory of quivers and cluster al gebras. On the one hand\, representation theory has been a very powerful t ool to categorify cluster algebras. On the other hand\, the study of clust er algebras has unveiled phenomena that are now central in representation theory\, such as tau-tilting theory or higher homological algebra. \;< /p>\n
In this talk\, which is based on joint work in progress with Natha n Ilten and Alfredo Ná\;jera\, I will explain how one can use deform ation theory to construct cluster algebras of finite type from (the dual o f) their exchange \;graph using deformation theory. Time permitting I will mention how this process can be generalised to tau-tilting finite alg ebras. \;
LOCATION:Seminar Room 1\, Newton Institute END:VEVENT END:VCALENDAR