Tropical geometry of algebraic curves

School of Mathematics Colloquium
Thursday, March 2, 2017 - 11:05
1 hour (actually 50 minutes)
Skiles 006
Yale University
The piecewise linear objects appearing in tropical geometry are shadows, or skeletons, of nonarchimedean analytic spaces, in the sense of Berkovich, and often capture enough essential information about those spaces to resolve interesting questions about classical algebraic varieties.  I will give an overview of tropical geometry as it relates to the study of algebraic curves, touching on applications to moduli spaces.