Abstract for the talk on 18.08.2020 (12:00 h)

Seminar on Nonlinear Algebra

Michael Joswig (TU Berlin + MPI MIS, Leipzig)
The degree of a tropical basis
See the video of this talk.

We give an explicit upper bound for the degree of a tropical basis of a homogeneous polynomial ideal. Even more interesting than that bound are various examples to illustrate differences between Gröbner and tropical bases.

Joint work with Benjamin Schröter.