The dimension of an amoeba

Algebra Seminar
Friday, January 25, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
Chi Ho Yuen – University of Bern – chi.yuen@math.unibe.ch
Yoav Len
An amoeba is the image of a subvariety X of an algebraic torus under the logarithmic moment map. Nisse and Sottile conjectured that the (real) dimension of an amoeba is smaller than the expected one, namely, two times the complex dimension of X, precisely when X has certain symmetry with respect to toric actions. We prove their conjecture and derive a formula for the dimension of an amoeba. We also provide a connection with tropical geometry. This is joint work with Jan Draisma and Johannes Rau.