Last updated: May 8, 2015, 16:40 EDT

  Schedule of Distinguished Lectures

Date and Time
Location Activity
May 2
4:00 - 4:45

507 Clark
May 2
4:45 - 5:45

507 Clark
Lecture 1

May 2
19:00 - 22:00

The Coonamessett Inn
May 3
9:00 - 10:00

507 Clark
Lecture 2

Abstracts and Available Videos

Lecture 1, Auslander algebras and preprojective algebras. Iyama's first lecture - slidesOsamu Iyama -- Lecture 1

Abstract: Auslander correspondence gives a bijection between representation-finite algebras and Auslander algebras. This was a prototype of later Auslander-Reiten theory based on the language of functor categories and stable module theory. A basic class of representation-finite algebras is the path algebra of a Dynkin quiver, and the corresponding preprojective algebra unifies all the possible orientations of the quiver. The notion of cluster tilting modules gives rise to a higher dimensional analog of both Auslander algebras and preprojective algebras. I will discuss recent results on them based on a joint work with Herschend and Oppermann.

Lecture 2, Tilting theory and Cohen-Macaulay representations.Iyama's second lecture - slides

Abstract: Tilting theory provides us with a powerful method to control triangulated categories and their equivalences. In particular they often enable us to realize abstract triangulated categories as concrete derived categories of associative rings. An important class of triangulated categories in representation theory is the stable categories of Cohen-Macaulay modules over Gorenstein rings, which are also known as the singular derived categories of Buchweitz and Orlov. I will discuss recent applications of tilting theory to Cohen-Macaulay representations, in particular, examples from higher preprojective algebras and from Geigle-Lenzing complete intersections.

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