Friday, November 8, 2024 - 14:00 to 15:00

Cathedral of Learning, room 332 (3rd floor)

### Abstract or Additional Information

The Ceresa cycle and the Gross—Kudla—Schoen modified diagonal cycle are algebraic 1-cycles associated to a smooth algebraic curve. They are algebraically trivial for a hyperelliptic curve and non-trivial for a very general complex curve of genus >2. Given an algebraic curve, it is an interesting question to study whether the Ceresa and GKS cycles associated to it are rationally or algebraically trivial. In this talk, I will discuss some methods and tools to study this problem.