Organizers: Tony Shaska, Oakland University Sheng-Li Tan, East China Normal University
Overview:
The goal of this session is to focus on algebraic curves and surfaces and more specifically on arithmetic of hyperelliptic fields, moduli problems and period integrals for K3 surfaces associated with genus-two curves, Kuga-Satake varieties associated with K3 surfaces, and others. Below is a more detailed list of topics
Topics of the session include, but are not limited to: Hyperelliptic curves and their applications superelliptic curves Curves of bounded moduli height Integral minimal models, curves defined over Q Selmer groups in Jacobians Geometry of moduli spaces Limit linear series and Brill-Noether theory Pencils of genus-two curves Period integrals for higher-genus curves Aomoto-Gel’fand and GKZ systems, A-hypergeometric functions, Appell-functions K3 surfaces related to genus-two curves and to the six-line configuration Kuga-Satake variety of Abelian surfaces Prym varieties and their moduli Seiberg-Witten curves and Dessins d’enfant
Schedule (to be completed ...) | Speakers |

**Contact:**T. Shaska (shaska@oakland.edu)