REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

Jeremy Russell

ABSTRACT: In this talk, I will show that under certain reasonable conditions, the category of coherent functors has enough injectives and that these injectives induce a duality on certain module categories.  This duality, first introduced by Auslander, has a connection with linkage of modules as defined by Martsinkovsky and Strooker.  I will explain this connection and introduce a functorial approach to linkage.  A definition of zeroth right and left derived functors not requiring injectives or projectives will be given.