UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 22, 2014

939 Evans Hall

3:45PM: Assymptotic Boij-Soederberg theory and resolutions over complete intersections of quadrics

David Eisenbud

I'll describe the cone of resolutions of high syzygies over a complete intersection of quadrics, and other related phenomena.

5:00PM: Castelnuovo-Mumford regularity and log-canonical thresholds

David Berlekamp

The regularity of an ideal is a measure of its computational complexity. The log-canonical threshold is a measure of singularity. Not surprisingly, these things are related - the log-canonical threshold of an ideal sheaf on projective space is (sharply) bounded below by the inverse of its regularity. This and related bounds are worked out with multiplier ideals in recent work of Kuronya and Pintye. I will attempt to explain what all of these words mean, and how this is done.

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