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
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.