text:   torsion Ceresa class",4,"['New paper (joint with Dean Bisogno, Wanlin Li, and Padma Srinivasan): <LINK>! This came out of a recent @amermathsoc MRC program. <LINK>', 'The paper is a pretty fun mix (IMO) of ideas from low-dimensional topology and arithmetic, and it ends with a bit of a mystery. Namely, we produce (what we think is) the first known example of a non-hyperelliptic curve whose Ceresa cycle vanishes under the l-adic Abel Jacobi map.', ""It's the Hurwitz curve of genus 7, also known as the Fricke-Macbeath curve; a picture of it, drawn by Klein, is below. It's not too hard to see that the Ceresa cycle also has torsion image under the Hodge-theoretic Abel-Jacobi map. https://t.co/TcSSr0lvQ9"", ""So here's the mystery -- is this cycle actually algebraically or rationally equivalent to zero? This seems pretty hard! Let me know if you have any thoughts, or would like more details on how to make the question precise.""]",20,04,878