NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


  Alex Martsinkovsky
(Boston, MA)


A Crash Course on Coherent Functors

ABSTRACT: The goal of this expository talk is to prepare the audience (including students and non-experts) for the two upcoming lectures by Jeremy Russell.
    The talk will consist of two parts. In the first one, I will concentrate on basic definitions and results of M. Auslander from his foundational
La Jolla paper. In the second part, I will prove, in the case of length categories, a conjecture of Auslander on injective objects in the category of defect-zero coherent functors. In fact, in that case, the result holds in greater generality than required by the conjecture. Using coherent functors, I will also give a short proof of the Hilton-Rees theorem on natural transformations between the covariant Ext functors. A similar result will be established for the univariate Tor functors and Hom modulo an ideal.
    This talk is similar to the one I gave a year ago, but differs from it by extra motivational details and inclusion of proofs. Handout slides can be downloaded from here


September 25, 2015
10:30 - 11:30
511 Lake Hall


For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky alexmart >at< neu >dot< edu