Algebra and Combinatorics Seminar

Date: September 25, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Erika Ordog, Texas A&M

Title: Minimal resolutions of monomial ideals

Abstract: The problem of finding minimal free resolutions of monomial ideals in polynomial rings has been central to commutative algebra ever since Kaplansky raised the problem in the 1960s and his student, Diana Taylor, produced the first general construction in 1966. The ultimate goal along these lines is a construction of free resolutions that is universal -- that is, valid for arbitrary monomial ideals -- canonical, combinatorial, and minimal. This talk describes a solution to the problem valid in characteristic 0 and almost all positive characteristics.