Applications are closed
for this workshop

Rational subvarieties in positive characteristic

October 24 to October 28, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Eric Riedl, Jason Starr, and Matthew Woolf

This workshop, sponsored by AIM and the NSF, will be devoted to studying rationality and existence of rational subvarieties in positive characteristic. Positive characteristic algebraic geometry provides additional tools, such as the Frobenius morphism, as well as challenges, such as the failure of generic smoothness. This workshop will bring together experts in both characteristic 0 and characteristic p to study questions related to rational varieties such as the following.

  1. When do the rational subvarieties of a Fano manifold, resp. general type variety, behave as expected from complex geometry?
  2. Which varieties of nonnegative Kodaira dimension are unirational, and what can we say about the moduli of these unirational varieties?
  3. How can we exploit positive characteristic methods to prove irrationality results, especially those results that lift to characteristic 0?

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

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