REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
Kohji Yanagawa
(Osaka
University)
will
speak on
Homological Aspects of Combinatorial Commutative Algebra
ABSTRACT:
Recently, I introduced the notion of squarefree modules, which are certain
multi-graded modules over a polynomial ring. Many modules appearing in
the theory of Stanley-Reisner rings are squarefree. On the other hand,
the category of squarefree
modules
is equivalent to the category of finitely generated left A modules, where
A is the incidence algebra of the Boolean lattice.
In
this seminar, I will mainly talk about the bounded derived category of
squarefree modules. We have three dualities on this category, and
they act just like three permutations of S_3 (up to translation). The incidence
algebra A is Koszul, and its quadratic dual A^! is isomorphic to A itself.
One of the three dualities for squarefree modules corresponds to "Koszul
duality" between Koszul modules over A and those over A^! (= A, in
this case).
Date:
March 8
Time:
10:30
511
Lake Hall
For further information visit the Seminar web site at http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky <alexmart@neu.edu>