Abstract for the talk on 16.03.2021 (17:45 h)Nonlinear Algebra Seminar Online (NASO)
Lisa Nicklasson (MPI MIS, Leipzig)
Toric ideals of polymatroids and White’s conjecture
See the video of this talk.
It was conjectured by White in 1980 that the toric ring associated to amatroid is defined by symmetric exchange relations. These are degree two relations reflecting the combinatorial structure of a matroid. This conjecture was extended to discrete polymatroids by Herzog and Hibi. Several special cases of the conjecture has been proved, but it remains open in full generality. In this talk I will give an introduction to discrete polymatroids, White’s conjecture, and related problems.