Toric ideals of polymatroids and White's conjecture
- Lisa Nicklasson (MPI MiS, Leipzig)
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.