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Ralf Fröberg: Rings with (partly) linear resolution, mostly monomial rings

Tid: Må 2022-05-16 kl 15.00 - 16.00

Plats: Zoom

Videolänk: Meeting ID: 615 7656 0927

Föreläsare: Ralf Fröberg (Stockholm University)


I will define, discuss, and give examples of rings with \(d\)-linear resolution, and rings satisfying the condition \(N_p \,(N_{d,p})\), which means that the resolution is \(2\)-linear (\(d\)-linear) the first \(p\) times. Then I will concentrate on monomial rings, where of course more is known. I will, among other things, show an easy method to determine the Betti numbers of many monomial rings with 2-linear resolution. Finally I will also present some conjectures. This is mostly a survey talk, but some new results are given.