Felipe Rincón (Queen Mary University of London): Positively hyperbolic varieties and their tropicalization

Stable polynomials are a multivariate generalization of real-rooted univariate polynomials. This notion of stability for hypersurfaces can be extended to lower-dimensional varieties, giving rise to positively hyperbolic varieties. I will present results showing that tropicalizations of positively hyperbolic varieties are very special polyhedral complexes with a rich combinatorial structure. This, in particular, generalizes a result of P. Brändén showing that the support of a stable polynomial must be an M-convex set.

Published Sep. 13, 2021 7:34 PM - Last modified Sep. 24, 2021 1:58 PM