Average Behavior of Monomial Free Resolutions

  • Serkan Hosten (San Francisco State University, San Francisco, USA)
E1 05 (Leibniz-Saal)


We present our result that under a natural probability distribution for generating minimal generators, a monomial ideal in n indeterminates almost always has a minimal free resolution of length n. We will also touch upon the Scarf complexes of "average" monomial ideals and the Betti numbers of such ideals.

01.07.19 04.07.19

Summer School on Randomness and Learning in Non-Linear Algebra

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Felix-Klein-Hörsaal

Saskia Gutzschebauch

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Paul Breiding

Technische Universität Berlin

Jesus De Loera

University of California at Davis

Despina Stasi

Illinois Institute of Technology

Sonja Petrovic

Illinois Institute of Technology