|Date: Thursday, November 02, 2017
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Local cohomology of powers of ideals
Abstract: Let R be a Noetherian local ring of dimension d. In this work, we study the behavior of local cohomology modules of powers of ideals. For homogeneous ideals, we are able to show that after restricting the lower degrees to a linear bound, the sequence of lengths of these modules does not grow faster than n^d. Combining this result with Kodaira-like vanishing theorems, we obtain that the sequence grows as expected for several broad classes of ideals. In addition, we study similar vanishing results for powers of modules. This is joint work with Hailong Dao.
Speaker: Jonathan Montano
Institution: University of Kansas