Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Lower Bounds for Betti Numbers

Seminar | November 7 | 3:45-4:45 p.m. | 939 Evans Hall

 Adam Boocher, UC Berkeley

 Department of Mathematics

The Rank Conjecture of Buchsbaum-Eisenbud and Horrocks says roughly that the Koszul complex is the "smallest" possible resolution. In this talk, I'll discuss this conjecture and several stronger and weaker incarnations of it. After surveying what is known, I'll describe some recent work with Jimmy Seiner for monomial ideals.