Seminar:

Spring, Thursdays, Blocker 506A, 4:00-4:50 PM


Date: February 2

"  A finiteness result for local cohomology modules of Stanley-Reisner rings "
  Roberto Barrera  

Abstract

While local cohomology modules of a ring may not be finitely generated, they still may possess other finiteness properties. In 1990, Craig Huneke asked if the number of associated prime ideals of a local cohomology module is finite. In this talk, I will give the necessary background from commutative algebra and D-module theory and then answer Huneke's question for local cohomology modules of Stanley-Reisner rings using techniques inspired by Glennady Lyubeznik. This is joint work with Jeffrey Madsen and Ashley Wheeler.