UBC Algebra and Algebraic Geometry Seminar: Caelan Ritter

The Jacobian of a very general curve of genus at least 3 contains an algebraic cycle called the Ceresa cycle that is homologically trivial but algebraically nontrivial. It is straightforward to show that hyperelliptic curves have trivial Ceresa cycle, but understanding whether the converse holds has been a subject of interest for decades. I will give an overview of the classical story before explaining how (and why) to extend the Ceresa cycle to the setting of tropical geometry.