Pure Mathematics Seminar: Dave Benson

Dave Benson, University of Aberdeen

Wednesday 05 March 2014, 1600-1700
A54, Postgraduate Statistics Centre Lecture Theatre

Matrix factorisations and modular representation theory

There is a well known correspondence between modules over a quotient of a polynomial ring of the form k[x_1,?,x_n]/(f) and matrix factorisations of the polynomial f. I shall describe some applications of this theory to the representation theory of elementary abelian p-groups (Z/p)^r in characteristic p. No previous knowledge of matrix factorisations or of modular representation theory will be necessary in order to follow this talk.