Commutative Algebra

Date:  Thursday, February 07, 2013
Location:  3096 East Hall (3:00 PM to 4:00 PM)

Title:  Associated primes of local cohomology of flat extensions with regular fibers

Abstract:   In this talk, we will discuss the following question raised by Mel Hochster: let $(R,m,K)$ be a local ring and $S$ be a flat extension with regular closed fiber. Is the set of associated primes of $H^i_I(S)$ that contain $mS$ finite for every ideal $I\subset S$ and every $i\in \mathbb{N}$? We will explore, using several tools from homological algebra, cases in which the answer is positive.


Speaker:  Luis Nunez-Betancourt
Institution:  University of Michigan

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