NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


  Emily Barnard
(Raleigh, NC)


The Canonical Join Complex

ABSTRACT: In this talk, I will discuss a certain minimal factorization of the elements in a finite lattice L called the canonical join representation.The canonical join representation of an element w is the unique "lowest" subset of L whose join is equal to w (where "lowest" will be made precise). When each element in L has a canonical join representation, we define the canonical join complex to be the abstract simplicial complex of subsets A such that the join of A is a canonical join representation. I will characterize the class of finite lattices whose canonical join complex is flag, and discuss several examples, including the lattice of torsion classes over a finite dimensional associative algebra.


November 16, 2016
12:00 - 1:00
(Notice unusual time)
544 Lake Hall
(Notice unusual place)


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