Full Seminar Archive

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome. This page has a complete list of past seminars and a list restricted by year can be accessed via the left-hand menu.

Daniel Chan - UNSW
We will look at Grothendieck's theory of local duality and the related homological study of commutative local rings.

Daniel Chan - UNSW
In this talk, we introduce Iyama's cluster tilting subcategories. These categories are related to the homological algebra of higher dimensional Auslander algebras. 

Daniel Chan - UNSW
In this talk, we look at the Auslander correspondence which relates the theory of algebras of finite representation type to certain algebras of global dimension two dubbed Auslander algebras. The...

Daniel Chan - UNSW
In this talk, we look at Auslander's contribution to the McKay correspondence. Let G be a small finite group acting on the affine plane. Then the quotient surface is an isolated singularity called a...

Daniel Chan - UNSW
In this talk, we introduce isolated singularities. These include Kleinian or du Val singularities as well as many non-commutative generalisations. We give a proof of Auslander's result that almost...

Daniel Chan - UNSW
Today, we will prove a duality result for Auslander's functor category which will allow us to construct coresolutions by tensor functors. This will allow us to show next time, that the stable Cohen-...

Daniel Chan - UNSW
We look at Auslander's functor category for Cohen-Macaulay modules and show it is abelian. This is a key result used to show that almost split sequences exist for isolated singularities.

Daniel Chan - UNSW
We show how an AR-duality formula can be derived from a natural duality on Auslander functor categories. It follows from a study of the stable category.

Daniel Chan - UNSW
We will look at Auslander's functor category. This gives another approach to the theory of almost split sequences and the study of representation theory more generally. 

Daniel Chan - UNSW
We discuss duality theory for algebras over regular local rings. This allows us to extend Auslander-Reiten theory to Cohen-Macaulay modules over these algebras. 

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