Lecturer: Sam Payne  NotesThis course will provide an introduction to tropical geometry for subvarieties of toric varieties over nonarchimedean fields. The first lecture will define the tropicalization of a toric variety and its subvarieties and explain the basic properties of the tropicalization functor. Subsequent lectures will explore the relationship between tropical geometry and nonarchimedean analytic spaces, through limits of tropicalizations, with special attention to curves. As time permits, we will discuss topics of current research interest, such as faithfulness of tropicalizations and lifting theorems for tropical intersections. The following is a preliminary outline of the sequence of lecture topics.Lecture 1: Tropicalization of subvarieties of toric varieties Lecture 2: Limits of tropicalizations Lecture 3: Tropical geometry of curves Lecture 4: Integral models, skeletons, and faithfulness Lecture 5: Tropicalization of intersections References:
