Abstract for the talk on 05.10.2022 (15:00 h)Seminar on Nonlinear Algebra
Raúl Penaguião (MPI MiS, Leipzig)
Computing degrees of Bergman Fans in a funny way
05.10.2022, 15:00 h, MPI für Mathematik in den Naturwissenschaften Leipzig, G3 10 (Hörsaal)
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.