Event Type:

Department Colloquium

Date/Time:

Tuesday, February 28, 2006 - 07:00

Location:

Dearborn 118

Guest Speaker:

Institution:

Reed College

Abstract:

Primary decomposition in commutative algebra and algebraic geometry generalizes the prime factorization property of the integers. Primary decomposition is a means of writing ideals as intersections of simpler ideals. Such decompositions carry information on the decomposition of geometric algebraic sets, on the type of the singularity, on resolving the singularity, on the computational complexity of the ideals, etc. In this talk I will concentrate on the complexity aspect: permanental ideals, Mayr-Meyer ideals, asymptotic properties, and connections with tight closure and local cohomology.