Faithfulness of top local cohomology modules in domains

Jack Jeffries (University of Nebraska)

23-Oct-2020, 13:00-14:00 (3 years ago)

Abstract: Inspired by a question of Lynch, we consider the following question: under what conditions is the highest nonvanishing local cohomology module of a domain $R$ with support in an ideal $I$ faithful as an R-module? We will review some of what is known about this question, and provide an affirmative answer in positive characteristic when the cohomological dimension is equal to the number of generators of the ideal. This is based on joint work with Mel Hochster.

Mathematics

Audience: advanced learners


IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home

Organizers: Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti
Curator: Saipriya Dubey*
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