at the

American Institute of Mathematics, San Jose, California

organized by

Jason Bell, Colin Ingalls, and Matthew Satriano

The main topics are

- Reduction to characteristic p: Smoktunowicz has shown under general conditions that division algebras of transcendence degree 2 over finite fields are finite over their centers. Can we obtain consequences of this result in characteristic zero by using reduction to characteristic p?
- Cohen Structure Theorem: If we assume a division algebra of transcendence degree two has a valuation, can we use noncommutative analogues of Cohen's structure theorem to classify division rings with a non-trivial valuation?
- Can we show that a division algebra of transcendence degree two has a non-trivial rank one discrete valuation?

The workshop schedule.

A report on the workshop activities.

A list of open problems.