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Workshop

Universal parameters for Stanley-Reisner rings and a colorful Hochster formula

  • Victor Reiner (University of Minnesota - Twin Cities, Minneapolis, USA)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

The Stanley-Reisner ring R of any simplicial complex contains a "universal" family of elements that form an h.s.o.p. (homogeneous system of parameters): the elementary symmetric functions in the vertex variables. This talk will discuss an interesting depth-detection property of this universal h.s.o.p., as well as a conjecture on the shape of the minimal free resolution of the ring R over this universal parameter ring. This conjecture is closely connected to a generalization of Hochster's formula on resolutions of Stanley-Reisner rings, one that applies to any proper vertex-coloring of the simplicial complex.

Links

conference
4/6/21 4/9/21

(Polytop)ics: Recent advances on polytopes

MPI für Mathematik in den Naturwissenschaften Leipzig Live Stream

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)