MSRI: CA of Singularities in Birational Geom

The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods
May 6, 2013 to May 10, 2013
The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry. There is a long history of this interaction which arises via the “reduction to characteristic p” procedure. It is only in the last few years, however, that very concrete objects from both areas, namely generalized test ideals from commutative algebra and multiplier ideals from birational geometry, have been shown to be intimately connected. This workshop will explore this connection, as well as other topics used to study singularities such as jets schemes and valuations.
Organizer(s)
Craig Huneke* (Kansas University), Yujiro Kawamata (University of Tokyo), Mircea Mustata (University of Michigan), Karen Smith (University of Michigan), Kei-ichi Watanabe (Nihon University)
For more information: http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm9000