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China 2018



 Algebraic curves and surfaces
Joint International Meeting of
the American Mathematical Society and the Chinese Mathematical Society
June 11 - 14, 2018,
Fudan University, Shanghai, China







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 ...)


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