Commutative Algebra Date:  Thursday, February 21, 2013 Location:  3096 East Hall (3:00 PM to 4:00 PM) Title:  Finite generation in characteristic $0$ and characteristic $p$ Abstract:   One of the fundamental problems in birational geometry is to determine whether or not finite generation holds for the ring of sections $R(X,D)$ of a divisor $D$ on a variety $X$. We will start by considering a specific case: Let $I$ be the ideal of a monomial curve in $k[x,y,z]$, and let $R$ be the symbolic Rees algebra. In general it is not known when these are finitely generated, but there are examples due to Goto, Nishida, and Watanabe, which are not finitely generated when $k$ has characteristic $0$ but are when $k$ has positive characteristic. Speaker:  Morgan Brown Institution:  University of Michigan Event Organizer:        Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.