Class Groups and Zeta Functions of Function Fields

From SIAG-AG

The zeta function of a curve over a finite field encodes the number of points over any extension of the base field. It is also closely related to the class group, a key invariant of the associated global function field, and its order, the class number. In addition to their importance in their own right, class groups of genus 1 and 2 curves over finite fields have applications in cryptography. Class group and Zeta function computation in general remains a difficult problem, but recent years have seen significant advances in this area.

Speakers:

• Sunghan Bae, KAIST (Daejeon, South Korea)
• David Harvey, University of New South Wales (Sydney, Australia)
• Florian Hess, University of Oldenburg (Germany)
• Michael Jacobson, University of Calgary (Canada)
• Kiran Kedlaya, UC San Diego (USA)
• Jungyun Lee, Ewha Womans University (Seoul, South Korea)
• Simon Wong, University of Massachusetts (USA)