Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Symmetric powers of algebraic and tropical curves

Seminar | February 12 | 5-6 p.m. | 939 Evans Hall

 Madeline Brandt, UC Berkeley

 Department of Mathematics

In this talk I will give a description of the following recent result: the non-Archimedean skeleton of the d-th symmetric power of a smooth projective algebraic curve X is naturally isomorphic to the d-th symmetric power of the tropical curve that arises as the non-Archimedean skeleton of X. In the talk I will give all necessary background definitions for understanding the above statement and I will sketch the proof.