Saturday 22 September 2018 |

Events for day: Monday 01 January 2018 |

14:00 - 15:00 LectureCastelnuovo-Mumford Regularity (I) School MATHEMATICS In this lecture, I will give some basic properties of the Castelnuovo-Mumford regularity and its applications to bound Hilbert coecients. 1. Denition and some basic properties In this part, I will give the denition of the Castelnuovo-Mumford regularity by using local cohomology. Then I will recall basic properties such as Castelnuovo's lemma and the relation of the Castelnuovo-Mumford regularities of modules in an exact sequence. 2. Characterization of the Castelnuovo-Mumford regularity by syzygies The main focus of this part is to present Mumford's characteri ... 16:00 - 17:00 LectureCut Polytopes in Commutative Algebra School MATHEMATICS The study of cuts in graphs is a very interesting topic in discrete mathematics with relations and applications to many other fields like algebraic geometry, combinatorial optimization or algebraic statistics. Here we focus on cut polytopes, generalizations of them and associated algebraic objects. We discuss new results and open questions related to cut constructions. The talk is based on joint work with Sara Saeedi Madani. ... |