Zusammenfassung für den Vortrag am 05.10.2022 (15:00 Uhr)

Seminar on Nonlinear Algebra

Raúl Penaguião (MPI MiS, Leipzig)
Computing degrees of Bergman Fans in a funny way

There are several ways of computing the degree of varieties, but the most basic one is to intersect your variety with a line. We will be doing the same in the tropical world. With the techniques developed we will compute the likelihood degeneracy degree of a matroid and recover a result from Agostini et al. In this talk, we will introduce the Bergman fan of a matroid, our tropical variety of interest, study its combinatorics, and identify its degree with the number of so called nbc bases.