UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 03, 2012

939 Evans Hall


3:45PM: Resolutions over Complete Intersections

Irena Peeva

Every infinite free resolution over a hypersurface is eventually given by a matrix factorization. The talk will discuss the asymptotic structure of free resolutions over a graded (or local) complete intersection, with an emphasis on the codimension 2 case.

5:00PM: On the Golod property for products and powers of ideals.

Volkmar Welker

In the talk we consider the Golod property of powers and more generally products of homogeneous ideals I in the polynomial ring S. We recall some basic definitions and facts around the Golod property, which in particular implies the triviality of the multiplication on Koszul homology. Then we show that for high enough k the ring S/I^k will be Golod. Indeed we show that for proper monomial ideals I and J already I J is Golod.

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