Roots of Trinomials from the Viewpoint of Amoeba Theory

The behavior of the norms of roots of univariate trinomials z^{s+t} + pz^t+q in C[z] for fixed support A := {s+t, t, 0} ⊂f2  N with respect to the choice of coefficients p, q ∈f2  C∗f2  is a classical late 19th / early 20th century problem. Although algebraically described by P. Bohl in 1908, the geometry and topology of the corresponding space of coefficients C^A is unknown. We provide such a description yielded by a reinterpretation of this problem in terms of amoeba theory.
The talk is based on joint work with Thorsten Theobald.