The dimension of an amoeba

Nom de l'orateur
Johannes Rau
Etablissement de l'orateur
Université de Tübingen
Date et heure de l'exposé
Lieu de l'exposé

Amoebas A(X) are images of algebraic varieties X in logarithmic coordinates and were introduced by Gelfand, Kapranov, Zelevinsky in their study of discriminants. From a "tropical" point of view, they appear as intermediate objects during the process of passing from the classical algebraic geometry to the piece-wise linear, combinatorial world of tropical geometry. However, basic properties of amoebas, even their dimensions, are not well-understood. In my talk, I will review some results and present a new formula computing dim(A(X)), settling a conjecture by Nisse and Sottile. As a corollary, this formula implies that the amoeba dimension only depends on the tropicalization/Bergman fan of X. This is joint work with Jan Draisma et Chi Ho Yuen.