# Colloquium abstracts

**Dikran Karagueuzian**

Binghamton University, USA

August 16, 2012

**Finiteness for the Module Structure of a Group Action on a Polynomial Ring**: A finite group typically has infinitely many isomorphism classes of indecomposable modular representations. We show that from a polynomial ring (i. e. symmetric algebra of a single representation) one can obtain only finitely many isomorphism classes of indecomposables. This is the main theorem of the speaker's paper with Peter Symonds.