IPM Calendar 
Wednesday 5 August 2020   Today  
Events for day: Thursday 13 August 2020    
           18:00 - 19:00     Commutative Algebra Webinars
Cellular Resolutions of Powers of Monomial Ideals of Projective Dimension One

School
MATHEMATICS

One of the most fruitful directions in the study of monomial ideals is finding
topological objects whose chain maps can be adapted to a free resolution of the ideal. The
catalyst of this approach was the Taylor resolution of a monomial ideal, which is supported
on a simplicial complex, but is largely non-minimal. While not all monomial ideals have
minimal free resolutions supported on a simplicial (or even CW) complex, it is known that a
square-free monomial ideal of projective dimension one has a minimal free resolution
supported on a tree. We show that the powers of such an ideal have minimal free r ...