Simplicial orders and chordality
Thời gian: 09:00 đến 09:50 Ngày 16/03/2016
Địa điểm: B4-705
Báo cáo viên: Prof. J. Herzog
Tóm tắt:Fröberg characterized all squarefree monomial ideals generated in degree 2 which have a linear resolution. A similar characterization for monomial ideals of higher degree seems to be impossible. Only partial results are known. On the other hand it can be shown that the squarefree monomial ideals with the property that all its monomial localizations have a linear resolution are precisely the matroidal ideals. In this lecture I report on a joint paper with Somayeh Bandari where it is conjectured that a monomial ideal is polymatroidal if and only if all its monomial localizations have a linear resolution. This conjecture is proved in several cases.