|Tuesday 11 December 2018|
|Events for day: Monday 01 January 2018|
| 14:00 - 15:00 Lecture|
Castelnuovo-Mumford Regularity (I)
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 Lecture
Cut Polytopes in Commutative Algebra
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
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.