# Josep Àlvarez Montaner: Local cohomology of binomial edge ideals and their generic initial ideal

**Time: **
Mon 2020-06-15 15.30

**Location: **
Zoom, registration required

**Lecturer: **
Josep Àlvarez Montaner, Universitat Politècnica de Catalunya

### Abstract

The aim of this talk is to introduce a Hochster type formula for the local cohomology modules of binomial edge ideals. This formula gives us a simple criterion for the Cohen-Macaulayness and Buchsbaumness of these ideals and we describe their Castelnuovo-Mumford regularity and their Hilbert series. We also give a proof, for the case of binomial edge ideals, of a conjecture of Conca, De Negri and Gorla relating the graded components of the local cohomology modules of Cartwright-Sturmfels ideals and their generic initial ideals.

**Registration: **If you haven't received a link before, please email
smirnov@math.su.se
.