NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


Franco Saliola

(University of Quebec at Montreal)


A Koszul Semigroup Algebra Arising from
a Hyperplane Arrangement

ABSTRACT:  Associated to a real hyperplane arrangement is a semigroup algebra that has applications to probability (random walks) and algebraic combinatorics (Solomon's descent algebras). I will survey these connections and describe the algebraic structure of the algebras. In particular, I will describe how the geometry of the arrangement is used to show that these algebras are Koszul and that they only depend on the combinatorics of the arrangement.

October 24, 2007
1:30 - 2:30
511 Lake Hall


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