دانشگاه محقق اردبیلی

Commutative algebra has been developed in step with algebraic geometry and has played an essential role in its foundation. In 1975, however, a new trend of commutative algebra arose with the work of Richard Stanley who used the theory of Cohen-Macaulay rings to prove affirmatively the Upper Bound Conjecture for spheres. It then turned out that commutative algebra supplies basic methods in the algebraic study of combinatorics on convex polytopes and simplicial complexes. In the last decade, combinatorial commutative algebra has been one of the most active topics in Mathematics. Almost nine years ago, the study of combinatorial commutative algebra was started in Iran and now we are glad to witness that there are several colleagues and students working in this area.

The goal of this workshop is to introduce students and young researchers the topics of recent research.

First day(20 Mordad) : 8--10, 10--12, 14--16, 16--18

Second day (21 Mordad): 8--10, 10--12

Subjects: A historical note of the subject, Monomial ideals, Simplicial complexes, Resolutions, Shellability, Cohen-Macaulayness and h-vectors